karlavaldivia99
contestada


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

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 class=

Respuesta :

C. A reflection across the line containing ZK
JeanaShupp

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.