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

C AAS

Explanation:

Answer 2

The triangles are congruent as per AAS congruence.

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.