MATH SOLVE

10 months ago

Q:
# Which triangles are congruent by AAS?

Accepted Solution

A:

For two triangles to be congruent by AAS:

1- Two angles in the first triangle must be equal to two angles in the second triangle

2- A non included side in the first triangle is equal to a non included side in the second triangle

Now, let's check our options. We will find that:

For the two triangles UTV and ABC:

angle T = angle A

angle V = angle C

TU (non-included between angles T & V) = AB (non-included between angles A & C)

Therefore, we can conclude that:

Triangles ABC and UTV are congruent by AAS

1- Two angles in the first triangle must be equal to two angles in the second triangle

2- A non included side in the first triangle is equal to a non included side in the second triangle

Now, let's check our options. We will find that:

For the two triangles UTV and ABC:

angle T = angle A

angle V = angle C

TU (non-included between angles T & V) = AB (non-included between angles A & C)

Therefore, we can conclude that:

Triangles ABC and UTV are congruent by AAS