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Primary 4 Mathematics · Chapter 8 · Answers and explanations

Lesson 8.2: Properties of Rectangles (answers)

Section A · Multiple choice 4 marks

1. How many right angles does a rectangle have?1 mark

(A) 1(B) 2(C) 3(D) 4
Answer: (D) 4A rectangle has 4 right angles, one at each corner.

2. ABCD is a rectangle. What is the length of DC?1 mark

ABCD9 cm4 cm
(A) 9 cm(B) 4 cm(C) 13 cm(D) 18 cm
Answer: (A) 9 cmOpposite sides of a rectangle are equal. DC is opposite AB, so DC = 9 cm.

3. PQRS is a rectangle. Which side is parallel to PQ?1 mark

PQRS
(A) QR(B) SR(C) PS(D) none of the sides
Answer: (B) SRIn a rectangle, opposite sides are parallel. SR is opposite PQ. QR and PS are perpendicular to PQ.

4. Which statement about a rectangle is true?1 mark

(A) All four sides are equal.(B) Opposite sides are perpendicular.(C) Opposite sides are equal and parallel.(D) It has only 2 right angles.
Answer: (C) Opposite sides are equal and parallel.A rectangle has opposite sides that are equal and parallel, and 4 right angles. The four sides are not always equal.

Section B · Write your answer 11 marks

5. ABCD is a rectangle. Find the length of BC.1 mark

ABCD15 cm7 cm
Answer: 7 cmBC is opposite AD, and opposite sides are equal. BC = 7 cm.

6. ABCD is a rectangle. Find ∠CAD.1 mark

ABCD35°
Answer: 55°∠BAD is a right angle, 90°. ∠CAD = 90° − 35° = 55°.

7. ABCD is a rectangle. Name the side that is parallel to AD and a side that is perpendicular to AD.1 mark

ABCD
Answer: Parallel: BC. Perpendicular: AB (or DC).Opposite sides are parallel, so BC is parallel to AD. Neighbouring sides meet at a right angle, so AB (or DC) is perpendicular to AD.

8. Each square is 1 cm by 1 cm. EFGH is a rectangle. What are the lengths of GH and FG?1 mark

EFGH= 1 cm by 1 cm
Answer: GH = 7 cm, FG = 3 cmCount the squares. EF is 7 squares long, so GH = 7 cm. FG is 3 squares long, so FG = 3 cm.

9. How many pairs of parallel sides does a rectangle have?1 mark

Answer: 2 pairsThe two long sides are parallel, and the two short sides are parallel. That makes 2 pairs.

10. ABCD is a rectangle. Find its perimeter.2 marks

ABCD13 cm6 cm
Answer: 38 cmOpposite sides are equal. 13 + 6 + 13 + 6 = 38 cm.

11. Each square is 1 cm by 1 cm. A, B and C are three corners of rectangle ABCD. Mark D and draw the rectangle. What is the length of AD?2 marks

ABCD= 1 cm by 1 cm
Answer: AD = 3 cmD is 3 squares below A. AD is opposite BC, and BC is 3 cm. So AD = 3 cm.

12. ABCD is a rectangle. ∠BAC is 2 times as big as ∠CAD. Find ∠CAD.2 marks

ABCD
Answer: 30°∠BAD = 90°. ∠BAC and ∠CAD make 3 equal parts, so 90° ÷ 3 = 30°. ∠CAD = 30°.
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