Question

1. are the below triangles congruent? *

yes by sss
yes by sas
yes by asa
yes by aas
yes by hl
no

Explanation:

Step1: Identify triangle properties

Both are right triangles ($90^\circ$ angle). One pair of legs (single tick) are congruent, another pair of legs (double tick) are congruent.

Step2: Match congruence rule

For right triangles, two pairs of congruent legs satisfy the Side-Angle-Side (SAS) rule: the right angle is the included angle between the two legs, with two sides and included angle congruent.

Answer:

Yes by SAS