MATH SOLVE

2 months ago

Q:
# Which triangle is △ABC similar to and why?△ABC is similar to △DEF by AA Similarity Postulate .△ABC is similar to △GHI by AA Similarity Postulate .△ABC is similar to △JKL by AA Similarity Postulate .△ABC is not similar to any of the triangles given.

Accepted Solution

A:

△ABC is similar to △JKL by AA Similarity Postulate.

Explication:

For ΔABC

m∠A + m∠B + m∠C = 180°

20° + 80° + m∠C = 180°

100° + m∠C = 180°

m∠C = 80°

Two angle pairs are congurent ⇒ △ABC ~ △JKL

Explication:

For ΔABC

m∠A + m∠B + m∠C = 180°

20° + 80° + m∠C = 180°

100° + m∠C = 180°

m∠C = 80°

Two angle pairs are congurent ⇒ △ABC ~ △JKL