Question

Triangles M Z K and Q Z K share side Z K. Angles M K Z and Z K Q are congruent. Angles K Z M and K Z Q are both right angles. Which rigid transformation would map TriangleMZK to TriangleQZK? a rotation about point K a reflection across the line containing MZ a reflection across the line containing ZK a rotation about point Z

Answer 1

reflection across the line containing ZK

Explanation:

How To Solve This Problem

1. Understand what has to be true for each transformation.

• Dilation: triangles NOT congruent
• Translation: triangles in same direction
• Rotation: triangles in different direction, do not share a side
• Reflection: share a side OR a line can be drawn equidistant from both triangles at all points on the segment side, MUST BE congruent

2. Determine what characteristics the triangle fits.

3. The answer is is D. Reflections

4. As you can see the triangles are congruent by ASA (angle-side-angle).

5. If reflected across line ZK the pre-image is the same as the image. Therefore this is true.

Answer 2

a reflection across the line containing ZK

Explanation:

If you draw the figure, you see it is symmetrical about line ZK. Hence reflection across that line (ZK) will map one triangle to the other.