Question

According to the diagram below TSU = KLM by HA we know that T = K because they are both right angles which of the following theorems can also show congruence NEED HELP ASAP!!

Answer 1

Answer:

The triangles are congruent as per AAS congruence.

Step-by-step explanation:

AAS congruence states that when two triangles are congruent when their two angles are equal and the side not contained between those angles is also equal.

Let us have a look at the given triangles $\triangle TSU$ and $\triangle KLM.$

It is given that they are right angled triangles and following dimensions are also equal:

1. $\angle T = \angle K = 90^\circ$

2. $\angle M = \angle U$

3. The side not between the angles i.e. the hypotenuse SU = LM

So, the two triangles $\triangle TSU$ and $\triangle KLM.$ are congruent as per AAS congruence.

i.e. $\triangle TSU$ $\cong$ $\triangle KLM.$ as per AAS congruence.