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Construction and probability class 8th icse choose the correct answer and simply all together frame only questions as question paper atleast 45

ICSE Class 8 Mathematics — Question Paper

Topics: Construction of Quadrilaterals & Probability

(Multiple Choice Questions — Choose the Correct Answer)

Total Questions: 50 | Instructions: Each question carries 1 mark. Select the correct option (a), (b), (c) or (d).

SECTION A: CONSTRUCTION OF QUADRILATERALS (Q1–Q25)

Q1. A quadrilateral can be constructed uniquely if we know: a) Only its four sides b) Its four sides and one diagonal c) Only its two diagonals d) Only three angles
Q2. The minimum number of independent measurements required to construct a unique quadrilateral is: a) 3 b) 4 c) 5 d) 6
Q3. A quadrilateral ABCD can be constructed if we are given: a) Three sides and two diagonals b) Two sides only c) One side and one angle d) Two diagonals only
Q4. To construct a quadrilateral with two adjacent sides and three angles, we need: a) 2 sides and 3 angles b) 4 sides and 1 angle c) 3 sides and 2 angles d) 1 side and 4 angles
Q5. A parallelogram can be constructed uniquely if we know: a) One side and one angle only b) Two adjacent sides and one included angle c) One diagonal only d) Two angles only
Q6. In constructing a rhombus, since all sides are equal, we generally use: a) One side and one diagonal b) Two unequal sides c) Four unequal angles d) Only one angle
Q7. A rectangle can be constructed if we know: a) Length and breadth only b) One diagonal only c) One angle only d) Two adjacent angles
Q8. A square can be constructed uniquely with just: a) One diagonal b) One side only c) Both (a) and (b) are correct d) Two unequal sides
Q9. The sum of all interior angles of a quadrilateral is: a) 180° b) 270° c) 360° d) 400°
Q10. While constructing a quadrilateral using SSS type data (three sides and two diagonals), the shape is divided into: a) Two triangles b) Three triangles c) Four triangles d) One triangle
Q11. Which instrument is NOT typically required for constructing quadrilaterals in ICSE geometry? a) Ruler b) Compass c) Protractor d) Calculator
Q12. To construct quadrilateral PQRS given all four sides and diagonal PR, we first draw: a) Triangle PQR b) Triangle PRS c) Both triangles simultaneously d) Side QS
Q13. A kite has: a) All four sides equal b) Two pairs of adjacent sides equal c) Only one pair of parallel sides d) No equal sides
Q14. For constructing a trapezium, it is essential to know: a) The two parallel sides and other measurements b) Only the four angles c) Only one diagonal d) Only the perimeter
Q15. When three sides and two included angles are given, the quadrilateral is constructed by drawing triangles in: a) Random order b) A definite step-by-step sequence starting from one side c) Reverse order only d) Only using diagonals
Q16. The diagonals of a parallelogram: a) Are always equal b) Bisect each other c) Are always perpendicular d) Never intersect
Q17. The diagonals of a rhombus: a) Bisect each other at right angles b) Are equal in length c) Do not intersect d) Are parallel to each other
Q18. The diagonals of a rectangle are: a) Equal and bisect each other b) Perpendicular to each other c) Unequal d) Parallel to each other
Q19. In a square, the diagonals: a) Are equal, bisect each other and are perpendicular b) Are unequal c) Do not bisect each other d) Are parallel
Q20. Given two diagonals and three sides of a quadrilateral, the number of triangles formed for construction is: a) 1 b) 2 c) 3 d) 4
Q21. A quadrilateral with one pair of opposite sides parallel is called: a) Rhombus b) Trapezium c) Kite d) Square
Q22. To construct a parallelogram ABCD, given AB = 6 cm, BC = 4 cm, and diagonal AC = 7 cm, we first construct: a) Triangle ABD b) Triangle ABC c) Triangle BCD d) Triangle ACD
Q23. If three angles of a quadrilateral are given along with two adjacent sides, the fourth angle can be found using: a) Angle sum property of a quadrilateral (360°) b) Angle sum property of a triangle (180°) c) Pythagoras theorem d) It cannot be found
Q24. Which of the following sets of data is NOT sufficient to construct a unique quadrilateral? a) Four sides and one diagonal b) Three sides and two diagonals c) Four sides only d) Three sides and two included angles
Q25. A rhombus can be constructed if we know: a) One side and one diagonal b) Two diagonals c) Both (a) and (b) d) None of these

SECTION B: PROBABILITY (Q26–Q50)

Q26. Probability of an event always lies between: a) -1 and 1 b) 0 and 1 (inclusive) c) 1 and 10 d) 0 and 100
Q27. The probability of a sure (certain) event is: a) 0 b) 1 c) 0.5 d) Undefined
Q28. The probability of an impossible event is: a) 1 b) 0.5 c) 0 d) -1
Q29. When a coin is tossed once, the total number of possible outcomes is: a) 1 b) 2 c) 3 d) 4
Q30. The probability of getting a head when a fair coin is tossed once is: a) 1/4 b) 1/3 c) 1/2 d) 1
Q31. When a die is thrown once, the total number of possible outcomes is: a) 4 b) 5 c) 6 d) 12
Q32. The probability of getting a number greater than 4 on a single throw of a fair die is: a) 1/6 b) 1/3 c) 2/3 d) 1/2
Q33. The probability of getting an even number when a die is thrown once is: a) 1/2 b) 1/3 c) 1/6 d) 2/3
Q34. A bag contains 5 red and 3 blue balls. The probability of drawing a red ball is: a) 3/8 b) 5/8 c) 5/3 d) 8/5
Q35. In a deck of 52 playing cards, the probability of drawing an ace is: a) 4/52 b) 13/52 c) 1/52 d) 12/52
Q36. The formula for probability of an event E is: a) P(E) = Total outcomes / Favourable outcomes b) P(E) = Favourable outcomes / Total outcomes c) P(E) = Favourable outcomes × Total outcomes d) P(E) = Favourable outcomes - Total outcomes
Q37. If P(E) is the probability of an event, then the probability of "not E" is: a) P(E) b) 1 - P(E) c) 1 + P(E) d) P(E) - 1
Q38. Two coins are tossed together. The total number of possible outcomes is: a) 2 b) 3 c) 4 d) 8
Q39. When two coins are tossed together, the probability of getting exactly one head is: a) 1/4 b) 1/2 c) 3/4 d) 1
Q40. The probability of getting a king from a well-shuffled deck of 52 cards is: a) 1/13 b) 4/13 c) 1/52 d) 4/52 which simplifies to 1/13, so both (a) and (d) are correct
Q41. A box contains 10 identical balls numbered 1 to 10. The probability of drawing a ball with a number divisible by 3 is: a) 3/10 b) 4/10 c) 1/10 d) 5/10
Q42. If a die is thrown once, the probability of getting a prime number is: a) 1/2 b) 1/3 c) 2/3 d) 1/6
Q43. The sum of probabilities of all possible outcomes of an experiment is always: a) 0 b) 0.5 c) 1 d) It varies each time
Q44. In tossing a single coin, the event "getting a head or a tail" is: a) An impossible event b) A certain (sure) event c) An event with probability 0.5 d) Undefined
Q45. A card is drawn from a well-shuffled pack of 52 cards. The probability that it is a face card (King, Queen, Jack) is: a) 3/52 b) 12/52 c) 4/52 d) 16/52
Q46. In a class of 40 students, 25 are girls. The probability that a randomly chosen student is a boy is: a) 25/40 b) 15/40 c) 40/15 d) 1
Q47. The probability of drawing a red card from a standard deck of 52 cards is: a) 1/2 b) 1/4 c) 26/52 only, not 1/2 d) 13/52
Q48. If a die is rolled once, the probability of NOT getting a 6 is: a) 1/6 b) 5/6 c) 1 d) 0
Q49. An event that has no chance of occurring is termed: a) A certain event b) A sure event c) An impossible event d) A complementary event
Q50. A jar contains 4 green, 3 yellow and 5 white marbles. The probability of picking a marble that is NOT white is: a) 5/12 b) 7/12 c) 4/12 d) 3/12
End of Question Paper
(50 MCQs total — 25 on Construction of Quadrilaterals, 25 on Probability, as per ICSE Class 8 Mathematics syllabus. Options only are provided as requested; no answer key included. Let me know if you'd like an answer key, a printable PDF/Word version, or a split into separate 20-mark test papers.)

U gave only 50 mccqs I want half of it simply questions

Got it — here's the revised paper: 25 MCQs (choose the correct answer) + 25 simple/direct questions (write the answer, no options), covering both Construction and Probability. Total: 50 questions.

ICSE Class 8 Mathematics — Question Paper

Topics: Construction of Quadrilaterals & Probability

SECTION A: MULTIPLE CHOICE QUESTIONS (Q1–Q25)

Choose the correct option (a), (b), (c) or (d).
Q1. A quadrilateral can be constructed uniquely if we know: a) Only its four sides b) Its four sides and one diagonal c) Only its two diagonals d) Only three angles
Q2. The minimum number of independent measurements required to construct a unique quadrilateral is: a) 3 b) 4 c) 5 d) 6
Q3. A parallelogram can be constructed uniquely if we know: a) One side and one angle only b) Two adjacent sides and one included angle c) One diagonal only d) Two angles only
Q4. A rectangle can be constructed if we know: a) Length and breadth only b) One diagonal only c) One angle only d) Two adjacent angles
Q5. A square can be constructed uniquely with just: a) One diagonal b) One side only c) Both (a) and (b) are correct d) Two unequal sides
Q6. The sum of all interior angles of a quadrilateral is: a) 180° b) 270° c) 360° d) 400°
Q7. A kite has: a) All four sides equal b) Two pairs of adjacent sides equal c) Only one pair of parallel sides d) No equal sides
Q8. The diagonals of a parallelogram: a) Are always equal b) Bisect each other c) Are always perpendicular d) Never intersect
Q9. The diagonals of a rhombus: a) Bisect each other at right angles b) Are equal in length c) Do not intersect d) Are parallel to each other
Q10. In a square, the diagonals: a) Are equal, bisect each other and are perpendicular b) Are unequal c) Do not bisect each other d) Are parallel
Q11. A quadrilateral with one pair of opposite sides parallel is called: a) Rhombus b) Trapezium c) Kite d) Square
Q12. Given two diagonals and three sides of a quadrilateral, the number of triangles formed for construction is: a) 1 b) 2 c) 3 d) 4
Q13. Which instrument is NOT typically required for constructing quadrilaterals in ICSE geometry? a) Ruler b) Compass c) Protractor d) Calculator
Q14. Probability of an event always lies between: a) -1 and 1 b) 0 and 1 (inclusive) c) 1 and 10 d) 0 and 100
Q15. The probability of a sure (certain) event is: a) 0 b) 1 c) 0.5 d) Undefined
Q16. The probability of an impossible event is: a) 1 b) 0.5 c) 0 d) -1
Q17. When a die is thrown once, the total number of possible outcomes is: a) 4 b) 5 c) 6 d) 12
Q18. The probability of getting an even number when a die is thrown once is: a) 1/2 b) 1/3 c) 1/6 d) 2/3
Q19. The formula for probability of an event E is: a) P(E) = Total outcomes / Favourable outcomes b) P(E) = Favourable outcomes / Total outcomes c) P(E) = Favourable outcomes × Total outcomes d) P(E) = Favourable outcomes - Total outcomes
Q20. If P(E) is the probability of an event, then the probability of "not E" is: a) P(E) b) 1 - P(E) c) 1 + P(E) d) P(E) - 1
Q21. Two coins are tossed together. The total number of possible outcomes is: a) 2 b) 3 c) 4 d) 8
Q22. The probability of getting a king from a well-shuffled deck of 52 cards is: a) 1/13 b) 4/13 c) 1/52 d) 1/4
Q23. The sum of probabilities of all possible outcomes of an experiment is always: a) 0 b) 0.5 c) 1 d) It varies each time
Q24. A card is drawn from a well-shuffled pack of 52 cards. The probability that it is a face card (King, Queen, Jack) is: a) 3/52 b) 12/52 c) 4/52 d) 16/52
Q25. An event that has no chance of occurring is termed: a) A certain event b) A sure event c) An impossible event d) A complementary event

SECTION B: SIMPLE / DIRECT QUESTIONS (Q26–Q50)

Answer briefly in your own words or with working.
Q26. What data is needed to construct a quadrilateral when four sides and one diagonal are given?
Q27. State the steps to construct a rhombus when one side and one diagonal are given.
Q28. Explain why a quadrilateral cannot be constructed with only its four sides known.
Q29. What is the difference between constructing a parallelogram and constructing a rhombus?
Q30. List the properties of the diagonals of a rectangle.
Q31. Describe how you would construct quadrilateral ABCD if AB, BC, CD, DA and diagonal AC are given.
Q32. Why must the sum of the four angles of a quadrilateral always equal 360° during construction?
Q33. What minimum set of measurements is required to construct a trapezium?
Q34. Explain the construction method used when three sides and two included angles of a quadrilateral are given.
Q35. What is the difference between a kite and a rhombus in terms of their sides?
Q36. State the properties of the diagonals of a square that make its construction simpler than a general quadrilateral.
Q37. Given two adjacent sides and three angles of a quadrilateral, explain how the fourth angle is found.
Q38. Describe the construction of a parallelogram when its two diagonals and the angle between them are given.
Q39. What instruments are used for constructing quadrilaterals, and what is each used for?
Q40. Define probability in your own words and write its formula.
Q41. A die is thrown once. Find the probability of getting a number less than 3.
Q42. A coin is tossed twice. List all the possible outcomes (sample space).
Q43. A bag contains 6 red balls and 4 black balls. Find the probability of drawing a black ball.
Q44. A card is drawn from a well-shuffled deck of 52 cards. Find the probability that it is a spade.
Q45. What is the probability of getting a sum of 7 when two dice are thrown together?
Q46. Explain, with an example, the difference between a certain event and an impossible event.
Q47. A number is chosen at random from 1 to 20. Find the probability that it is a multiple of 4.
Q48. If the probability of an event happening is 0.35, what is the probability of it NOT happening?
Q49. A jar contains 8 green, 5 blue, and 7 yellow marbles. Find the probability of drawing a yellow marble.
Q50. Explain why the probability of any event always lies between 0 and 1, using a suitable example.
End of Question Paper (25 MCQs + 25 direct questions = 50 total)
Let me know if you'd like an answer key added, or the paper exported as a PDF/Word file.

Frame questions of construction like construct

Here are Construction questions framed in proper "Construct..." format, as typically asked in ICSE Class 8 exams (Selina style). Each gives specific measurements so a student actually draws the figure using ruler and compass.

CONSTRUCTION QUESTIONS (Q1–Q20)

Q1. Construct a quadrilateral ABCD in which AB = 5 cm, BC = 6.5 cm, CD = 5.5 cm, DA = 4.5 cm, and diagonal AC = 7 cm.
Q2. Construct a quadrilateral PQRS in which PQ = 4 cm, QR = 5 cm, RS = 4.5 cm, SP = 5.5 cm, and diagonal PR = 6 cm.
Q3. Construct a quadrilateral ABCD in which AB = 4 cm, BC = 3.5 cm, CD = 5 cm, and diagonals AC = 6 cm, BD = 5.5 cm.
Q4. Construct a quadrilateral PQRS in which PQ = 3.5 cm, QR = 4.5 cm, RS = 5 cm, and diagonals PR = 6.5 cm, QS = 5.5 cm.
Q5. Construct a parallelogram ABCD in which AB = 6 cm, BC = 4.5 cm, and diagonal AC = 7.5 cm.
Q6. Construct a parallelogram PQRS in which PQ = 5 cm, PS = 4 cm, and diagonal QS = 6.5 cm.
Q7. Construct a parallelogram ABCD in which diagonals AC = 6 cm, BD = 8 cm, and the angle between the diagonals is 60°.
Q8. Construct a rhombus ABCD in which AB = 5 cm and diagonal AC = 6 cm.
Q9. Construct a rhombus PQRS in which diagonal PR = 8 cm and diagonal QS = 6 cm.
Q10. Construct a rhombus ABCD with side 4.5 cm and one angle equal to 75°.
Q11. Construct a rectangle ABCD in which AB = 6 cm and BC = 4 cm.
Q12. Construct a rectangle PQRS in which diagonal PR = 7 cm and side PQ = 5 cm.
Q13. Construct a square ABCD with side 5 cm.
Q14. Construct a square PQRS with diagonal 6.5 cm.
Q15. Construct a quadrilateral ABCD in which AB = 4 cm, BC = 5 cm, angle A = 80°, angle B = 100°, angle C = 120°.
Q16. Construct a quadrilateral ABCD in which AB = 5 cm, AD = 4 cm, angle A = 90°, angle B = 60°, angle D = 120°.
Q17. Construct a trapezium ABCD in which AB is parallel to CD, AB = 7 cm, CD = 4 cm, AD = 5 cm, and angle A = 60°.
Q18. Construct a kite ABCD in which AB = AD = 4 cm, CB = CD = 6 cm, and diagonal AC = 7 cm.
Q19. Construct a quadrilateral ABCD in which AB = 3.5 cm, BC = 4 cm, CD = 4.5 cm, DA = 5 cm, and angle B = 90°.
Q20. Construct a parallelogram ABCD in which AB = 5.5 cm, angle A = 45°, and AD = 4 cm.
Each of these should be solved by first breaking the quadrilateral into two triangles (using a diagonal) and constructing them step by step with a ruler, compass, and protractor.
Let me know if you'd like me to also write out the step-by-step construction method for any specific one of these, or compile the full paper (MCQs + direct questions + these construction problems) into a downloadable PDF/Word file.

Give answers for this and also for previous chat

ANSWER KEY

PART 1: MCQ Answer Key (Section A, Q1–Q25)

QAnsQAnsQAns
1b10a19b
2c11b20b
3b12b21c
4a13d22a
5c14b23c
6c15b24b
7b16c25c
8b17c
9a18a

PART 2: Direct Questions Answer Key (Section B, Q26–Q50)

Q26. Four sides (AB, BC, CD, DA) and one diagonal (say AC) - 5 measurements in all.
Q27. Draw diagonal AC of given length. With A and C as centers, draw arcs of radius equal to the side length above and below AC, intersecting at B and D. Join AB, BC, CD, DA (all sides equal since it's a rhombus).
Q28. Four sides alone let the quadrilateral "hinge" at its vertices and change shape without changing side lengths - unlike a triangle, it isn't rigid. A fifth measurement (a diagonal or an angle) is needed to fix it uniquely.
Q29. A parallelogram needs two adjacent sides and the included angle (or a diagonal) since opposite sides are equal but angles can vary. A rhombus needs only the side length and one diagonal (or angle), since all four sides are already equal by definition.
Q30. Diagonals of a rectangle: (i) are equal in length, (ii) bisect each other, (iii) are NOT perpendicular (unless it's a square).
Q31. Construct triangle ABC first using AB, BC, and diagonal AC. Then, on the other side of AC, construct triangle ACD using CD, DA, and the same AC. Join to complete quadrilateral ABCD.
Q32. A diagonal splits the quadrilateral into two triangles; since each triangle's angles sum to 180°, the total for both is 360°. This lets you find any one missing angle if the other three are known.
Q33. The two parallel sides, one non-parallel side (leg), and one angle (or the height) - generally 4-5 measurements, with the parallel sides identified.
Q34. Draw the first side. At its two ends, construct the two given included angles and mark off the next two given sides to locate two new vertices. Join the remaining side to close the figure.
Q35. A kite has two distinct pairs of adjacent equal sides (AB = AD, CB = CD) but not all four sides equal. A rhombus has all four sides equal.
Q36. In a square, the diagonals are equal, bisect each other, and are perpendicular - so knowing just one diagonal (or side) fixes the whole figure using a perpendicular bisector construction, unlike a general quadrilateral which needs 5 independent measurements.
Q37. Angle A + Angle B + Angle C + Angle D = 360°. Subtract the sum of the three known angles from 360° to get the fourth.
Q38. Mark midpoint O (diagonals of a parallelogram bisect each other). Draw diagonal AC through O, split equally on both sides. Through O, draw diagonal BD at the given angle to AC, split equally. Join the four endpoints A, B, C, D.
Q39. Ruler - to draw and measure straight sides; Compass - to mark equal lengths/arcs and locate vertices; Protractor - to draw and measure angles; Pencil - for drawing the figure.
Q40. Probability measures the chance of an event occurring. P(E) = Number of favourable outcomes / Total number of possible outcomes.
Q41. Numbers less than 3: {1, 2} → 2 favourable out of 6. P = 2/6 = 1/3.
Q42. Sample space = {HH, HT, TH, TT}.
Q43. P(black ball) = 4/10 = 2/5.
Q44. P(spade) = 13/52 = 1/4.
Q45. Pairs giving sum 7: (1,6)(2,5)(3,4)(4,3)(5,2)(6,1) = 6 outcomes out of 36. P = 6/36 = 1/6.
Q46. Certain event: probability = 1, always occurs, e.g. "getting a number less than 7 on a standard die." Impossible event: probability = 0, never occurs, e.g. "getting an 8 on a standard die."
Q47. Multiples of 4 from 1-20: {4,8,12,16,20} = 5 numbers. P = 5/20 = 1/4.
Q48. P(not happening) = 1 - 0.35 = 0.65.
Q49. P(yellow) = 7/20.
Q50. Probability lies between 0 and 1 because favourable outcomes can never be negative and can never exceed total outcomes. E.g., tossing a coin: P(head) = 1/2, which lies between 0 (impossible) and 1 (certain).

PART 3: Construction Steps (Construction Questions Q1–Q20)

Q1. Draw AC = 7 cm. From A (radius 5) and C (radius 6.5), arcs meet at B. From A (radius 4.5) and C (radius 5.5), arcs meet at D on the opposite side. Join AB, BC, CD, DA.
Q2. Draw PR = 6 cm. From P (radius 4) and R (radius 5), arcs meet at Q. From P (radius 5.5) and R (radius 4.5), arcs meet at S on the opposite side. Join all sides.
Q3. Draw AC = 6 cm. From A (radius 4) and C (radius 3.5), arcs meet at B. From B (radius 5.5) and C (radius 5), arcs meet at D. Join AB, BC, CD, DA.
Q4. Draw PR = 6.5 cm. From P (radius 3.5) and R (radius 4.5), arcs meet at Q. From R (radius 5) and Q (radius 5.5), arcs meet at S. Join sides.
Q5. Draw AB = 6 cm. From A (radius 7.5) and B (radius 4.5), arcs meet at C. Locate D using AD = 4.5 and DC = 6 (opposite sides equal in parallelogram). Join.
Q6. Construct triangle PQS with PQ = 5, PS = 4, QS = 6.5. From Q (radius PS = 4) and S (radius PQ = 5), arcs meet at R on the opposite side of QS. Join.
Q7. Draw AC = 6 cm, mark midpoint O. Through O, draw BD at 60° to AC with OB = OD = 4 cm each. Join AB, BC, CD, DA.
Q8. Draw AC = 6 cm. From A and C (radius 5 each), arcs meet above and below AC at B and D. Join all sides.
Q9. Draw PR = 8 cm, mark midpoint O. Through O, draw QS perpendicular to PR with OQ = OS = 3 cm. Join PQ, QR, RS, SP.
Q10. Draw AB = 4.5 cm. At A, construct 75° and mark AD = 4.5 cm. From B and D (radius 4.5 each), arcs meet at C. Join BC, CD.
Q11. Draw AB = 6 cm. At A and B, construct 90° angles and mark AD = BC = 4 cm. Join CD.
Q12. Draw PQ = 5 cm. At Q, construct 90°; from P, draw an arc of radius 7 cm cutting this perpendicular at R. Complete rectangle by drawing S with PS = QR and RS = PQ.
Q13. Draw AB = 5 cm. At A and B, construct 90° angles and mark AD = BC = 5 cm. Join DC.
Q14. Draw diagonal PR = 6.5 cm. Draw its perpendicular bisector; mark Q and S on it at 3.25 cm from the midpoint on either side. Join all sides.
Q15. Draw AB = 4 cm. At A, construct 80°; at B, construct 100° and mark BC = 5 cm along it to fix C. At C, construct 120° to get the direction of CD; its intersection with the ray from A gives D. Join AD.
Q16. Draw AB = 5 cm. At A, construct 90° and mark AD = 4 cm. At B, construct 60° (ray BC); at D, construct 120° (ray DC). Their intersection gives C. Join BC, DC.
Q17. Draw AB = 7 cm. At A, construct 60° and mark AD = 5 cm. Through D, draw a line parallel to AB and mark DC = 4 cm. Join BC.
Q18. Draw diagonal AC = 7 cm. From A (radius 4) and C (radius 6), arcs meet on both sides of AC at B and D. Join AB, BC, CD, DA.
Q19. Draw AB = 3.5 cm. At B, construct 90° and mark BC = 4 cm. From A (radius 5) and C (radius 4.5), arcs meet at D. Join AD, CD.
Q20. Draw AB = 5.5 cm. At A, construct 45° and mark AD = 4 cm. From D, draw DC parallel and equal to AB; from B, draw BC parallel and equal to AD; they meet at C. Join.
Note: For construction questions, these are the method/steps since the actual figure needs to be hand-drawn with ruler, compass, and protractor - there's no single numeric "answer," the construction itself is the answer.
Let me know if you'd like this whole set (questions + answer key) compiled into a downloadable PDF or Word file for printing.
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