Question

question 11
listen
consider the diagram below.
the image is not necessarily drawn to scale.
which of the congruence shortcuts proves the two triangles in the diagram are congruent?
geometric figure

Explanation:

Step1: Identify Common Side

The two triangles share a common side (the diagonal), so that side is equal for both triangles.

Step2: Identify Marked Sides and Angle

One pair of sides is marked as equal (the tick marks), and the included angle between the equal side and the common side is equal (the curved marks for the angle).

Step3: Apply SAS Congruence

The Side - Angle - Side (SAS) congruence criterion states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent. Here, we have two sides (one pair marked equal, one common side) and the included angle equal, so SAS applies.

Answer:

The congruence shortcut is SAS (Side - Angle - Side).