Which confirms that ΔABC∼ΔA'B'C by the AA criterion?
1 Answer
Choice D
Explanation:
First, we need to define what the AA
This theorem is used for
So, we can set up an algebraic expression here.
We know that angle B is the exact same measure as angle B'.
Therefore:
Solve for x.
Plug in x into the angle measure for angle B:
You get that angle B is equal to 65 degrees. This matches choice D.
But wait, let's check that answer and make sure that angles C and C' are equal to 75 degrees.
So, we set up an equation that means that angle C must be equal to C':
Solve:
Plug in x=11 into the equation 8x-13, and you find that angle C=75 degrees. Assuming that this is the similar triangle, angle C' is also 75 degrees, so therefore, D is the correct answer.