Question

These two triangles are similar How are the corresponding parts related?

FK 1. ∠G ≅
RF 2. PS ≅
∠R 3. GP ≅

Answer 1

PS ≅ FK, RF ≅ GP ∠R ≅ ∠G

Solution:

Given in ΔKFR, KF = 10, FR = 16, KR = 20

In ΔGPS, GP = 8, GS = 10, PS = 5

In the given image the two triangles are similar.

That is, ΔKFR ≅ ΔGPS

We know that the corresponding parts of the similar triangles are congruent.

(1) ∠F ≅ ∠P (given)

So, PS ≅ FK

(2) ∠R ≅ ∠G (given)

∠F ≅ ∠P (given)

So, RF ≅ GP

(3) ∠R ≅ ∠G (given in the image)

Hence PS ≅ FK, RF ≅ GP ∠R ≅ ∠G.