Question

given △qrs ≅ △qrs, describe a pair of rigid motions that maps △qrs to △qrs. choose the correct answer below. a. reflection across the y - axis, translation of 10 units down b. rotation of 90° about the origin, translation of 6 units up c. translation of 10 units right, translation of 6 units down d. reflection across the y - axis, translation of 6 units down

Explanation:

Step1: Analyze reflection across y - axis

Reflection across the y - axis changes the sign of the x - coordinates of the vertices of the triangle.

Step2: Analyze translations

Translation moves the triangle without changing its shape or orientation. By observing the position of the triangles, we see that after reflection across the y - axis, a translation of 6 units down maps one triangle to the other.

Answer:

D. Reflection across the y - axis, translation of 6 units down