Question

Consider the congruence statement ARAT AHOG. Which angle is

congruent to ZR?*
A. angle 0
B. angle H
C. angle g
D. angle a

Answer 1

In the congruence statement ARAT ≅ AHOG, angle R corresponds to angle H, so angle H is congruent to angle R.

Step-by-step explanation:

To determine which angle is congruent to ∠R given the congruence statement ARAT ≅ AHOG, we must look at the corresponding positions of each angle in the congruence statement. The letters of the congruence statement represent corresponding parts of the congruent figures, so if ∠R is the second letter in the first shape, then we look for the second letter in the second shape. This means ∠R corresponds to ∠H, which is the second letter in 'AHOG'. Therefore, ∠R ≅ ∠H, establishing that angle H is congruent to angle R.

Answer 2

Consider the congruence statement ARAT AHOG, the angle congruent to ZR is C. angle G

Step-by-step explanation:

The congruence statement given is ARAT AHOG.

We are asked to determine which angle is congruent to angle ZR. To find the congruent angle, we need to find another angle that is equal to ZR.

Based on the information provided, we can see that triangles GFC and AHD are congruent to the shaded triangles HKD and KFD.

Since angle ZR is part of triangle GFC, the congruent angle to ZR is angle G.

Therefore, Angle G is congruent to angle ZR.

So the correct answer is choice C. angle G