Question

HELP DUE IN 10 MINS!

Are the triangles similar?


A. Yes, by SSS~ Postulate



B. Yes, by SAS~ Postulate



C. Yes, by AA~ Postulate



D. No, the corresponding angles are not congruent

Answer 1

• C. Yes, by AA~ Postulate

Explanation:

As per given we have:

• ∠EDC ≅ ∠HGC - given
• ∠DCE ≅ ∠GCH - vertical angles

If two angles of one triangle are congruent with another, they triangles are similar

Correct choice is C

Answer 2

Explanation:

Yes they are similar.

• <D and <G are marked as congruent.
• <DCE = <HCG Vertically opposite angles are always congruent.

The triangles are similar by AA~ postulate.