Question

Which criterion can be used to prove ABC and ADC are congruent?

A. SSS B. AAA C. SAS D. ASA

Answer 1

c. ASA

Explanation:

Answer 2

D. ASA

Explanation:

In triangles ABC and ADC,

• Angles BCA and DAC are congruent (from the diagram);
• Angles BAC and DCA are congruent (from the diagram);
• AC is congruent AC (by reflexive property).

So, the triangles ABC and CDA are congruent by ASA postulate.

ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.