Which rigid transformation would map MZK to QZK?
2 answers:
C. A reflection across the line containing ZK
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.
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