Question

choose the triangle shortcut that can be used to state the triangles below are congruent.
choose
the triangles are not congruent.
side angle side
hypotenuse leg
side side side
angle angle side
angle side angle

Explanation:

To determine the congruence shortcut, we analyze the triangles:

1. Vertical angles at \( K \) are congruent (a pair of angles).
2. The marked sides (one from each triangle) are congruent (a pair of sides).
3. Another pair of sides (the other marked sides) are congruent. Wait, no—wait, looking at the diagram, we have a pair of angles (vertical angles) and two pairs of sides? Wait, no, let's re - examine. Wait, the correct approach: The triangles have a pair of congruent angles (vertical angles at \( K \)) and two pairs of congruent sides? No, wait, the Side - Angle - Side (SAS) criterion states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent. Here, the vertical angles at \( K \) are the included angles between the two pairs of marked (congruent) sides. So we have two sides and the included angle congruent, which matches the SAS criterion.

Answer:

Side Angle Side