Question

tell why the two triangles are congruent. give the congruence statement. then list all other corresponding parts of the triangles that are congruent
why are the two triangles congruent?
a the two triangles are congruent because of the side - angle - side (sas) postulate.
b the two triangles are congruent because of the angle - angle - side (aas) theorem.
c the two triangles are congruent because of the angle - side - angle (asa) postulate.
d the two triangles are congruent because of the side - side - side (sss) postulate.
what is the congruence statement?
$\triangle jklcong\trianglesquare$

Explanation:

Step1: Identify congruent parts

From the figure, we can see that one side is marked equal (the sides with red marks), and two angles (the right - angles and the other marked angles) are equal.

Step2: Apply congruence postulate

Since we have two angles and a non - included side (AAS - Angle - Angle - Side) equal. The AAS theorem states that if two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle, then the two triangles are congruent.

Step3: Write congruence statement

For \(\triangle JKL\) and \(\triangle BTH\), \(\angle J=\angle B\), \(\angle L=\angle H\), \(JK = BT\). So, \(\triangle JKL\cong\triangle BTH\)

Answer:

The two triangles are congruent because of the angle - angle - side (AAS) theorem. The congruence statement is \(\triangle JKL\cong\triangle BTH\)