Question

10 fill in the blank 1 point congruent: yes congruent rule: choose your answer...

Explanation:

Step1: Identify the angles and sides

We have two triangles. There is a pair of equal angles (marked as equal in the figure), a pair of equal sides (marked with one tick each), and the vertical - opposite angles (formed by the intersection of the two lines) are equal.

Step2: Apply the congruence rule

The Angle - Side - Angle (ASA) congruence rule states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent. Here, we have two angles (the marked angles and the vertical - opposite angles) and a non - included side (but in the case of vertical - opposite angles, when we consider the structure of the triangles, it can be re - arranged to fit the ASA concept as the non - included side is between the two angles in a sense of triangle correspondence).

Answer:

ASA (Angle - Side - Angle)