Question

A composition of transformations maps ΔXYZ to ΔX"Y"Z".

Triangle X Y Z is reflected across the line of reflection m to form triangle X prime Y prime Z prime. Triangle X prime Y prime Z prime is rotated 90 degrees about point X prime to form triangle X double-prime Y double-prime Z double-prime.

The first transformation for this composition is [________], and the second transformation is a 90° rotation about point X'.

a 180° rotation about point X
a 270° rotation about point X
a translation to the right
a reflection across line m

Answer 1

Answer:

reflection across line m

Step-by-step explanation:

it is going across because of double prime

Answer 2

The first transformation for this composition is a reflection across line m, and the second transformation is a 90° rotation about point X'.

How to estimate the composition of transformations maps?

When you convert a point across a line y = x then x-coordinate and y-coordinate change.

Also when you reflect a point across the line y = -x then signs exist changed and both coordinates change places.

When transformation maps X"Y" Z" .Then the first transformation for this composition exists, and the second transformation exists at 90° rotation about point X'.

Therefore, the correct answer is option D. first transformation across the line.

To learn more about composition of transformations maps

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