Question

Which of the following pairs of triangles can be proven similar through SAS similarity?

Answer 1

B)

Explanation:

SAS similarity: If one angle of a triangle is equal to the corresponding angle of the other triangle, and the sides including these angles are proportional, then the two triangles are similar by SAS similarity.

In option A, only sides are given and in option B, only angles are given. So, these options are neglected.

Option B:

∠F = ∠B

`\sf (FD)/(AB) = (8)/(2) \\\\\\~~~~~ = (4)/(1)`

`\sf (FG)/(BC)=(10)/(2.5)\\\\\\~~~~~ =(100)/(25)=(4)/(1)`

Answer:

`\sf (FD)/(AB)=(FG)/(BC)` and ∠F = ∠G

ΔDFG ~ ΔABC by SAS similarity.