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

Solution:

A trapezoid is a four-sided closed 2D figure which has an area and its perimeter.

Two sides of a trapezoid are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

The shortest distance between two parallel sides is known as the altitude.

These are the properties of a trapezoid that make it stand out from other quadrilaterals:

1. The bases (the top and bottom) are parallel to each other

2. Opposite sides of a trapezoid (isosceles) are of the same length

3. Angles next to each other sum up to 180°

4. The median is parallel to both the bases

Given,

The image of a trapezoid.

The angle YXS is 90° because the line WY is perpendicular to the segment SS'.

This is because WY is vertical, and SS' is horizontal.

So, the angle between the vertical and horizontal lines is 90°.

Therefore, mYXS is 90°.

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

Summary:

The image of trapezoid PQRS after a reflection across Line W Y is trapezoid P'Q'R'S'. The angle of mYXS is 90°.