Question

The image of trapezoid PQRS after a reflection across Line W Y is trapezoid P'Q'R'S'.

2 trapezoids are shown. Line W Y is the line of reflection. Line segment R R prime has a midpoint at point Z. Line segment S S prime has a midpoint at point X.

What is m?

45º
90º
180º
270º

Answer 1

Answer:

90

Step-by-step explanation:

Answer 2

When a shape is reflected, it must be reflected over a line (i.e. its line of reflection).

The value of $\angle YXS$ is $90^o$

From the diagram (see attachment), we observe that:

Lines SS' and YX are perpendicular, and they meet at point X.

This means that the angle at X is 90 degrees.

Hence, the measure of $\angle YXS$ is:

$\angle YXS = 90^o$

Option (b) is true

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