Chapter 8: Similar Triangles — Online MCQ Test
MATHS · CLASS 10th · Telangana State Board
Practice Chapter 8: Similar Triangles with a free chapter-wise online MCQ test.
This chapter covers: Focusing on geometric scaling and similarity.
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Chapter 8: Similar Triangles — Important Questions & Answers
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.
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.
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.
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.
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.
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.