Question

in the following figure, determine the congruence rule by which the triangles are congruent to each other.
drag & drop the answer
angle - side - angle
side - side - side
side - angle - side
angle - angle - side
note: use ctrl + d to drag the option via keyboard
(figure of two triangles with marked sides and angles)
congruence rule:

Explanation:

Step1: Analyze triangle markings

In triangle \(ABC\) and \(PQR\), we see two sides marked equal (the tick marks) and the included angle (the angle between the two sides) marked equal (the arc marks).

Step2: Identify congruence rule

The Side - Angle - Side (SAS) congruence rule states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent. Here, we have two sides and the included angle equal, so the congruence rule is Side - Angle - Side.

Answer:

Side - Angle - Side