If in triangles *ABC*
and *EDF*, then they will be similar, when

**A. ** ∠B = ∠E

**B. ** ∠A = ∠D

**C. ** ∠B = ∠D

**D. ** ∠A = ∠F

**Answer : ****Option C**

**Explaination / Solution: **

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In Δ*LMN*, ∠*L *=* *60°,* *∠*M *=* *50°* *. If* *Δ*LMN ~ *Δ*PQR *then the
value of* *∠*R *is

**A. ** 40°

**B. ** 70°

**C. ** 30°

**D. ** 110°

**Answer : ****Option B**

**Explaination / Solution: **

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If ΔABC is an isosceles triangle with ∠C = 90° and AC = 5 cm, then AB is

**A. ** 2.5 cm

**B. ** 5 cm

**C. ** 10 cm

**D. ** 5√2 cm

**Answer : ****Option D**

**Explaination / Solution: **

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In a given figure *ST || QR*, *PS *=* *2 cm
and *SQ* = 3 cm.
Then the ratio of the area of Δ*PQR* to the area
of Δ*PST* is

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The perimeters of two similar triangles ΔABC and ΔPQR are 36 cm and 24 cm respectively. If PQ = 10 cm, then the length of AB is

**A. ** 6(2/3) cm

**B. ** 10√6 /3 cm

**C. ** 66(2/3) cm

**D. ** 15 cm

**Answer : ****Option D**

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If in ΔABC , DE || BC . AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm then the length of AE is

**A. ** 1.4 cm

**B. ** 1.8 cm

**C. ** 1.2 cm

**D. ** 1.05 cm

**Answer : ****Option A**

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In a ΔABC , AD is the bisector of ∠BAC . If AB = 8 cm, BD = 6 cm and DC = 3 cm. The length of the side AC is

**A. ** 6 cm

**B. ** 4 cm

**C. ** 3 cm

**D. ** 8 cm

**Answer : ****Option B**

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In the adjacent figure ∠*BAC* = 90° and *AD* ┴ *BC*
then

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Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m, what is the distance between their tops?

**A. ** 13 m

**B. ** 14 m

**C. ** 15 m

**D. ** 12.8 m

**Answer : ****Option A**

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In the given figure, *PR
*=* *26 cm, *QR *=* *24* * cm. ∠*PAQ *=* *90°* *,*
PA*=6* *cm and* QA *=* *8* *cm. Find* *∠*PQR*

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