Question

question 1 of 5
select the correct answer from each drop - down menu.
consider the triangles shown.
a pair of triangles that are congruent by the asa criterion is
a pair of triangles that are congruent by the sas criterion is

Explanation:

Step1: Recall ASA criterion

ASA (Angle - Side - Angle) means two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Step2: Recall SAS criterion

SAS (Side - Angle - Side) means two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Step3: Analyze triangles for ASA

Examine the marked angles and sides of the triangles. Triangles B and F have two pairs of equal angles and the included side equal, so they are congruent by ASA.

Step4: Analyze triangles for SAS

Triangles D and T have two pairs of equal sides and the included angle equal, so they are congruent by SAS.

Answer:

A pair of triangles that are congruent by the ASA criterion is B and F.
A pair of triangles that are congruent by the SAS criterion is D and T.