Chapter Exam

Chapter 8: Similar Triangles — Online MCQ Test

Q: Two triangles are said to be similar if their corresponding angles are _______ and corresponding sides are _______.

Answer: A. equal, proportional — Similar triangles have equal corresponding angles and proportional corresponding sides by definition.

Q: If triangle ABC ~ triangle DEF, which statement is correct?

Answer: A. ∠A = ∠D, ∠B = ∠E, ∠C = ∠F — When triangles are similar with correspondence ABC ~ DEF, corresponding angles are equal: ∠A = ∠D, ∠B = ∠E, ∠C = ∠F.

Q: Triangle ABC has sides 6 cm, 8 cm, and 10 cm. Triangle PQR has sides 3 cm, 4 cm, and 5 cm. Are these triangles similar? If yes, what is the scale factor?

Answer: B. Yes, scale factor is 2:1 — The ratio of corresponding sides is 6:3 = 8:4 = 10:5 = 2:1, so the triangles are similar with scale factor 2:1.

Q: Triangle ABC with ∠A = 60°, ∠B = 70° is similar to triangle PQR with ∠Q = 70°, ∠R = 50°. Which angle of triangle PQR corresponds to ∠A of triangle ABC?

Answer: A. ∠P — In triangle ABC: ∠A = 60°, ∠B = 70°, ∠C = 50°. In triangle PQR: ∠P = 60°, ∠Q = 70°, ∠R = 50°. So ∠A corresponds to ∠P.

Q: Two triangles ABC and PQR are similar. If AB/PQ = BC/QR = CA/RP = k, and the perimeter of triangle PQR is 36 cm, what is the perimeter of triangle ABC?

Answer: A. 36k cm — Since the ratio of corresponding sides is k, the ratio of perimeters is also k. Therefore, Perimeter of ABC = k × Perimeter of PQR = 36k cm.

MATHS · CLASS 10th · Telangana State Board

Practice Chapter 8: Similar Triangles with a free chapter-wise online MCQ test for Telangana State Board CLASS 10th MATHS. This chapter covers: Focusing on geometric scaling and similarity. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter 8: Similar Triangles — Important Questions & Answers (FAQ)

Frequently asked questions from Telangana State Board CLASS 10th MATHS — Chapter 8: Similar Triangles, with answers and explanations. These are sample questions; the exam has its own separate question set.

Two triangles are said to be similar if their corresponding angles are _______ and corresponding sides are _______.

A. equal, proportional ✓
B. equal, equal
C. proportional, equal
D. supplementary, proportional

Answer: A. equal, proportional
Similar triangles have equal corresponding angles and proportional corresponding sides by definition.

If triangle ABC ~ triangle DEF, which statement is correct?

A. ∠A = ∠D, ∠B = ∠E, ∠C = ∠F ✓
B. ∠A = ∠E, ∠B = ∠D, ∠C = ∠F
C. All angles of ABC are equal to all angles of DEF
D. The sides of ABC are equal to the sides of DEF

Answer: A. ∠A = ∠D, ∠B = ∠E, ∠C = ∠F
When triangles are similar with correspondence ABC ~ DEF, corresponding angles are equal: ∠A = ∠D, ∠B = ∠E, ∠C = ∠F.

Triangle ABC has sides 6 cm, 8 cm, and 10 cm. Triangle PQR has sides 3 cm, 4 cm, and 5 cm. Are these triangles similar? If yes, what is the scale factor?

A. Not similar
B. Yes, scale factor is 2:1 ✓
C. Yes, scale factor is 1:2
D. Cannot be determined

Answer: B. Yes, scale factor is 2:1
The ratio of corresponding sides is 6:3 = 8:4 = 10:5 = 2:1, so the triangles are similar with scale factor 2:1.

Triangle ABC with ∠A = 60°, ∠B = 70° is similar to triangle PQR with ∠Q = 70°, ∠R = 50°. Which angle of triangle PQR corresponds to ∠A of triangle ABC?

A. ∠P ✓
B. ∠Q
C. ∠R
D. Cannot be determined

Answer: A. ∠P
In triangle ABC: ∠A = 60°, ∠B = 70°, ∠C = 50°. In triangle PQR: ∠P = 60°, ∠Q = 70°, ∠R = 50°. So ∠A corresponds to ∠P.

Two triangles ABC and PQR are similar. If AB/PQ = BC/QR = CA/RP = k, and the perimeter of triangle PQR is 36 cm, what is the perimeter of triangle ABC?

A. 36k cm ✓
B. 36/k cm
C. 36k² cm
D. Cannot be determined without knowing k

Answer: A. 36k cm
Since the ratio of corresponding sides is k, the ratio of perimeters is also k. Therefore, Perimeter of ABC = k × Perimeter of PQR = 36k cm.