Question

1. determine which method if any can prove the triangles are congruent. * 1 point

1.
sss
sas
asa
aas
hl
not possible

Explanation:

Step1: Analyze the given information

We have two right - angled triangles. One pair of legs (the sides marked with one tick) are equal, another pair of legs (the sides marked with two ticks) are equal.

Step2: Recall the congruence criteria

For right - angled triangles, the Hypotenuse - Leg (HL) criterion states that if the hypotenuse and one leg of a right - angled triangle are equal to the hypotenuse and one leg of another right - angled triangle, the triangles are congruent. But here we have two pairs of legs equal. The Side - Angle - Side (SAS) criterion for general triangles: 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. In right - angled triangles, the right angle is the included angle between the two legs.

Answer:

SAS