Question

Given △ABC ≅ △FHD what side would correspond to side CA?

Could someone also explain how and why? I dont understand

Answer 1

Answer: DF

Explanation:

We know that if two triangles are congruent then the corresponding sides are congruent ( CPCTC ).

Given :
`\triangle{ABC}\cong\triangle{FHD}`

Then, corresponding sides of
`\triangle{ABC}` and
`\triangle{FHD}` are congruent.

i.e. AB must be congruent to FH [First two letters]

BC must be congruent to HD [Last two letters]

CA must be congruent to DF [last and first letter]

∴ Side correspond to side CA = DF

Hence, the correct answer is "DF"

Answer 2

I believe it would be side DF.

Explanation:

If two triangles are congruent, all the sides are equal. So, A would be equal to F, B is equal to H, and C is equal to D.