Please please please help !!!
Figure ABCD is reflected about the y-axis to obtain figure A′B′C′D′:

A coordinate plane is shown. Figure ABCD has vertices A at 2 comma 5, B at 1 comma 2, C at 3 comma 1, and D at 4 comma 5. Figure A prime B prime C prime D prime has vertices A prime at negative 2 comma 5, B prime at negative 1 comma 2, C prime at negative 3 comma 1, and D prime at negative 4 comma 5.
Which statement best describes the relationship between the two figures? (4 points)

A)Figure ABCD is similar to figure A′B′C′D′.
B)Figure ABCD is bigger than figure A′B′C′D′.
C)The measure of angle D is equal to the measure of angle A′.
D)The measure of angle D is equal to the measure of angle B′.

These shapes are not identical, because the angles and sides are mirrored, but much like a mirrored object, they are similar. Another way to explain it is when you look into a mirror what you are seeing is not what people see when they see you with their eyes, it's a REFLECTION!

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varshamittal029 varshamittal029 · Answer 2 · 2022-07-12T23:10:44+02:00

The correct option is Option A: figure ABCD is similar to A′B′C′D′.

What is reflection?

Reflection is the translation of the figure about an axis or point so that the distance of the reflected figure from the axis is the same as the distance of the original figure from the axis.

When a point of coordinate (x,y) is reflected about the y-axis then the coordinate of the reflected point will be (-x,y).

In quadrilateral ABCD the coordinate of A is (2,5) and the coordinate of A' is (-2,5). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point A' is the reflection of point A.

In quadrilateral ABCD the coordinate of B is (1,2) and the coordinate of B' is (-1,2). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point B' is the reflection of point B.

In quadrilateral ABCD the coordinate of C is (3,1) and the coordinate of C' is (-3,1). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point C' is the reflection of point C.

In quadrilateral ABCD the coordinate of D is (4,5) and the coordinate of D' is (-4,5). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point D' is the reflection of point D.

So all the points of quadrilateral ABCD are reflected about the y-axis.

As it is a reflection about the y-axis for which the size will not be changed and both the reflected and the original figure will be similar.

Therefore the correct option is Option A: figure ABCD is similar to A′B′C′D′.

Learn more about reflection

here: https://brainly.com/question/15175017

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