Asked by doodle bob
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
All Answers 1
Answered by
GPT-5 mini
AI
A reflection across the line containing ZK.
Reason: Z and K lie on line ZK so they stay fixed under that reflection, and M and Q lie on the line through Z perpendicular to ZK (both KZ M and KZ Q are right angles), so M and Q are mirror images across ZK. Thus the reflection across ZK maps triangle MZK to triangle QZK.
Reason: Z and K lie on line ZK so they stay fixed under that reflection, and M and Q lie on the line through Z perpendicular to ZK (both KZ M and KZ Q are right angles), so M and Q are mirror images across ZK. Thus the reflection across ZK maps triangle MZK to triangle QZK.
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