In the diagram, polygon ABCD is flipped over a line of reflection to form a polygon with its vertices at A′, B′, C′, and D′. Points A′, B′, and D′ are shown, but the line of reflection and point C′ are not. The line of reflection is ? , and the coordinates of C' are (6,2). What is the line of reflection?

Given: In the diagram, polygon ABCD is flipped over a line of reflection to form a polygon with its vertices at A′, B′, C′, and D′. Points A′, B′, and D′ are shown, but the line of reflection and point C′ are not .

coordinates of C from the graph = (4,2)

If the coordinates of C'=(6,2)

we can see that value of y isn't change with reflection therefore the line of reflection would be x= ordinate of C'+ ordinate of C divided by 2=6+4 divided by 2=10 divided by 2=5

Therefore, the line of reflection must be x=5.

psm22415 psm22415 · Answer 2 · 2022-02-01T08:01:46+01:00

Reflection refers to the transformation of an image.

The line of reflection must be x =5.

What is a line of reflection?

Reflection refers to the mirror image of shape.

The image reflects with the help of line of reflection.

Given

In the diagram, polygon ABCD is flipped over a line of reflection to form a polygon with its vertices at A′, B′, C′, and D′.

Points A′, B′, and D′ are shown, but the line of reflection and point C′ are not.

The coordinates of point C are (4, 2) and C' (6, 2).

Then,

The reflection across the y-axis and x-axis is;

[tex]=\dfrac{4+6}{2}\\\\= \dfrac{10}{2}\\\\= 5[/tex]

Hence, the line of reflection must be x=5.

To know more about Line of reflection click the link given below.

https://brainly.com/question/10148719