Question

Which rigid transformation would map MZK to QZK?

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

C. A reflection across the line containing ZK

Answer 2

Answer:- Reflection across line segment containing ZK is the rigid transformation which maps MZK to QZK .

Explanation:-

In ΔMZK and ΔQZK

∠MKZ=∠QKZ [given]

KZ=KZ [Reflexive property]

∠KZM=∠KZQ [right angle]

⇒ΔMZK ≅ ΔQZK [ASA congruence postulate]

⇒ corresponding parts of ΔMZK and ΔQZK are congruent.

⇒ ΔMZK transformed by reflection across the line containing ZK to form ΔQZK.