Question

Based only on the information given in the diagram, which congruence

theorems or postulates could be given as reasons why AJKL AMNO?
Check all that apply.
K
N
LM
☐A. HA
B. LL
C. HL
D. SAS
E. LA
F. AAS
(VIEW PICTURE!!!)

Answer 1

The two triangles are similar based on SAS and AAS. (Option D, F).

What are similar triangles?

Similar triangles have the same corresponding angle measures and proportional side lengths.

The triangle similarity criteria are:

• AAS (Angle - Angle- Side)
• SSS (Side - Side - Side)
• SAS (Side - Angle - Side)

From the given diagram, we can see that the corresponding sides of the right triangle are equal and also the right angles are also equal.

Thus, we can conclude that the two triangles are similar based

SAS ( Side - Angle - Side ) similarity criteria

AAS ( Angle - Angle- Side ) similarity criteria

So options D and F are correct.