177,404 views
32 votes
32 votes
Which of the following carlsot be used to prove that two triangles are congruent?

O
Α. ΑΑΑ
B. ASA
C. SSS
D. HL

User Paho
by
2.7k points

1 Answer

27 votes
27 votes

Answer:

The AAS, SAS, and SSS congruence postulates can be used to prove that two triangles are congruent. The congruence postulate that cannot be used is: D. AAA congruence postulate

Explanation:

Two triangles are congruent by SSS if all three sides of both triangles are congruent to each corresponding side.

Two triangles are congruent by SAS if an included angle and two sides in one triangle are congruent to a corresponding included angle and two corresponding sides in the other triangle.

Two triangles are congruent by ASA if two triangles have an included side and two corresponding angles that are congruent.

Two triangles are congruent by the AAS if they both have two congruent angles and a corresponding non-included side that are congruent to each other.

Therefore, the AAS, SAS, and SSS congruence postulates can be used to prove that the two triangles are congruent. The congruence postulate that cannot be used is: D. AAA congruence postulate

User Ali Farhoudi
by
2.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.