Question

Which equation shows the correct relationship between the measures of the angles of the two triangles? The measure of angle ABC = The measure of angle A prime B prime C prime The measure of angle ABC = The measure of angle B prime C prime A The measure of angle BCA = The measure of angle A prime B prime C prime The measure of angle BCA = The measure of angle C prime A prime B prime

Answer 1

The correct answer is:

The measure of angle ABC= The measure of angle A prime, B prime, C prime 

Or, the first option. This would make ABC congruent to A'B'C'. It is the only one that makes sense.

I hope this helps!
~kaikers

Answer 2

Reflection is basically flip of a figure either vertically or horizontally. Reflex may be either over a point, a line or a plane. When figures reflected, the figure so formed will be congruent to the original figure.

Reflections of graphs involves reflecting over a specific line.

Therefore the equation that shows correct relationship between angles of the two triangles is "the measure of angle ABC = The measure of angle A prime B prime C prime."

Explanation:

It is clear form the figure that Δ$\rm A'B'C'$ is the reflex of Δ$\rm ABC$.

Reflex figures are congruent.

Therefore, Δ$\rm A'B'C'$ ≅ Δ$\rm ABC$.

Hence, corresponding angles and sides of both the triangles will be equal.

Therefore, ∠$B$ =∠$B'$

Hence statement A is correct.

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