Question

11/21/25, 8:04 am
congruent triangles?

1. name the postulate you would use to prove the triangles congruent.

choose the correct answer below.
o sas
o sss

1. would you use sss or sas to prove the triangles congruent? use

only the marked sides/angles and any shared sides. if there is not
enough information to prove the triangles congruent by sss or sas,
write
ot enough information\. explain your answer.
write a congruence statement and give a reason why the triangles are congruent. choose the correct answer below.
o a. △sbo ≅ △dhf, sss
o b. △sbo ≅ △dhf, sas
o c. the two triangles are not necessarily congruent. there is not enough information.

1. if the triangles shown to the right are congruent, write a congruence

statement and give a reason why they are congruent.
are the triangles congruent or not congruent?
o not congruent
o congruent
write a congruence statement and give a reason why the triangles are congruent. choose the correct answer below.
o a. △sad ≅ △pgo, sss
o b. △sad ≅ △pgo, sas
o c. △sad ≅ △pgo, asa
o d. the two triangles are not necessarily congruent.

Explanation:

Question 5

Looking at the diagram (a quadrilateral with a diagonal, and marks indicating three sides equal in each triangle formed by the diagonal), the two triangles share the diagonal (a common side), and the other two sides of each triangle are marked equal. So we have three sides equal (SSS: Side - Side - Side postulate).

Step 1: Identify the sides of the triangles

The two triangles formed by the diagonal of the quadrilateral have three pairs of equal sides (the two sides of the quadrilateral marked equal for each triangle, and the common diagonal).

Step 2: Apply the SSS postulate

Since three sides of one triangle are congruent to three sides of the other triangle, we use the SSS postulate.

To determine if we use SSS or SAS, we check the marked sides/angles and shared sides. In the diagram, we have two sides marked equal in each triangle and a pair of vertical angles (which are equal) between them. So we have two sides and the included angle (SAS: Side - Angle - Side) congruent. The congruence statement would be $\triangle SBO\cong\triangle DHF$ by SAS because we have two sides (marked) and the included angle (vertical angles) congruent.

Looking at the diagram, the triangles have three pairs of marked equal sides. So by SSS (Side - Side - Side) postulate, they should be congruent.

Answer:

SSS

Question 6