Triangle HKM is reflected across line L to form triangle PQR. Which statement is true?

Statement A is true.

Step-by-step explanation:

Step 1:

When a reflection occurs, the side lengths and the angles are preserved. Reflection is a rigid transformation i.e. the parameters remain constant.

As side lengths and angles are preserved statements C and D cannot be the answers.

Step 2:

Now we plot the points of the triangle before and after reflection.

The point R contains the angle of the triangle before reflection and the point Q contains the angle of the triangle after reflection.

So we need to search for the option where R in the first triangle is replaced by Q in the second triangle i.e. ∠KHM = ∠QPR.

So the answer is statement 1. Reflections preserve angle measures and side lengths, so by the Side-Angle-Side congruence theorem, it can be concluded that ∠KHM = ∠QPR.

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