Mathematics Multiple Choice Questions & Answers on “Criteria for Similarity of Triangle”.
1. The perimeters of two similar triangles ABC, PQR is 64 cm and 24 cm respectively. If PQ is 12 cm what will be the length of AB?
a) 30 cm
b) 32 cm
c) 12 cm
d) 16 cm
Answer: b
Clarification: We know that the ratio of the perimeters of similar triangles is the same as the ratio of their corresponding sides.
∴ (frac {Perimeter , of , triangle ABC}{Perimeter , of , triangle PQR} = frac {AB}{PQ})
(frac {64}{24}=frac {AB}{12})
AB = (frac {64times 12}{24}) = 32 cm
2. If ∠D = ∠L, ∠E = ∠M then, ∆DEF & ∆LMN are similar according to which test?
a) AAA test
b) AA test
c) SAS test
d) SSS test
Answer: b
3. If (frac {AB}{XY} = frac {BC}{YZ} = frac {AC}{XZ}) then, ∆ABC & ∆XYZ are similar according to which test?
a) AAA test
b) AA test
c) SAS test
d) SSS test
Answer: d