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Question (11)

QN0036731

Which of the following is sufficient to establish similarity of two triangles?

(A) One pair of equal sides
(B) Two corresponding equal angles
(C) One pair of equal angles only
(D) Equal perimeters

Correct Answer: B

Explanation:

Two corresponding equal angles are sufficient by the AA similarity criterion.

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Question (12)

QN0036732

Two triangles have sides 6 cm, 8 cm, 10 cm and 9 cm, 12 cm, 15 cm respectively. The triangles are

(A) congruent
(B) similar
(C) neither similar nor congruent
(D) equilateral

Correct Answer: B

Explanation:

6/9 = 8/12 = 10/15 = 2/3. Hence the triangles are similar by SSS.

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Question (13)

QN0036733

If ΔABC ~ ΔPQR and AB/PQ = 3/5, then BC/QR is

(A) 2/5
(B) 3/5
(C) 5/3
(D) 1

Correct Answer: B

Explanation:

Corresponding sides of similar triangles are proportional. Hence BC/QR = 3/5.

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Question (14)

QN0036734

If two similar triangles have corresponding sides in the ratio 4 : 7, then the ratio of their perimeters is

(A) 16 : 49
(B) 4 : 7
(C) 7 : 4
(D) 8 : 14

Correct Answer: B

Explanation:

Perimeters of similar triangles are in the same ratio as their corresponding sides.

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Question (15)

QN0036735

Two similar triangles have corresponding sides in the ratio 3 : 5. Their corresponding altitudes are in the ratio

(A) 9 : 25
(B) 3 : 5
(C) 5 : 3
(D) 6 : 10

Correct Answer: B

Explanation:

Corresponding linear measurements of similar triangles have the same ratio. Hence the altitude ratio is 3:5.

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Question (16)

QN0036736

If ΔABC ~ ΔDEF, AB = 8 cm, DE = 12 cm and BC = 10 cm, then EF is

(A) 12 cm
(B) 15 cm
(C) 16 cm
(D) 18 cm

Correct Answer: B

Explanation:

AB/DE = BC/EF. Thus 8/12 = 10/EF, giving EF = 15 cm.

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Question (17)

QN0036737

A triangle has sides 5 cm, 7 cm and 8 cm. A similar triangle has its shortest side 15 cm. The side corresponding to 7 cm is

(A) 18 cm
(B) 20 cm
(C) 21 cm
(D) 24 cm

Correct Answer: C

Explanation:

Scale factor = 15/5 = 3. Therefore the corresponding side is 7 × 3 = 21 cm.

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Question (18)

QN0036738

In two triangles, two corresponding sides are proportional and the included angles are equal. Which criterion applies?

(A) AA
(B) SSS
(C) SAS
(D) RHS

Correct Answer: C

Explanation:

Proportional corresponding sides with equal included angles give SAS similarity.

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Question (19)

QN0036739

Two triangles have angles 45°, 65°, 70° and 65°, 70°, 45°. They are

(A) not similar
(B) similar by AA
(C) congruent necessarily
(D) similar only by SSS

Correct Answer: B

Explanation:

Two corresponding angles are equal, so the triangles are similar by AA.

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Question (20)

QN0036740

In ΔABC, DE || BC. If AD = 3 cm, AB = 9 cm and AC = 12 cm, then AE is

(A) 3 cm
(B) 4 cm
(C) 6 cm
(D) 8 cm

Correct Answer: B

Explanation:

AD/AB = AE/AC. Therefore 3/9 = AE/12, giving AE = 4 cm.

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Question (11)

Which of the following is sufficient to establish similarity of two triangles?

Explanation:

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Question (12)

Two triangles have sides 6 cm, 8 cm, 10 cm and 9 cm, 12 cm, 15 cm respectively. The triangles are

Explanation:

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Question (13)

If ΔABC ~ ΔPQR and AB/PQ = 3/5, then BC/QR is

Explanation:

Link:

Question (14)

If two similar triangles have corresponding sides in the ratio 4 : 7, then the ratio of their perimeters is

Explanation:

Link:

Question (15)

Two similar triangles have corresponding sides in the ratio 3 : 5. Their corresponding altitudes are in the ratio

Explanation:

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Question (16)

If ΔABC ~ ΔDEF, AB = 8 cm, DE = 12 cm and BC = 10 cm, then EF is

Explanation:

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Question (17)

A triangle has sides 5 cm, 7 cm and 8 cm. A similar triangle has its shortest side 15 cm. The side corresponding to 7 cm is

Explanation:

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Question (18)

In two triangles, two corresponding sides are proportional and the included angles are equal. Which criterion applies?

Explanation:

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Question (19)

Two triangles have angles 45°, 65°, 70° and 65°, 70°, 45°. They are

Explanation:

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Question (20)

In ΔABC, DE || BC. If AD = 3 cm, AB = 9 cm and AC = 12 cm, then AE is

Explanation:

Link:

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