Question

After a rotation of 90° about the origin, the coordinates of the vertices of the image of a triangle are A'(5, 3), B'(–2, 1), and C'(1, 7). What are the coordinates of the vertices of the pre-image?

A -

B -

C -

Answer 1

The coordinates of the vertices of the preimages are A ( 3, 5) , B ( 1, 2) and C ( 7, -1)

How to determine the coordinates

It is important to note the following about the 90 degrees rotation about the origin

• A( x ,y ) becomes A' ( -y,  x )
• switch x and y and make y negative

Note that

A ( x, y) is the coordinates of the preimage

A' ( -y , x) is the coordinates after the said rotation about the origin

Converting the transformed coordinates to the preimage coordinates

For vertex A

A' ( 5, 3)

Compare with A' ( -y, x)

x = 3

y = -5

Substitute the values

A ( 3, 5 )

For vertex B

B' ( -2, 1)

Compare with B' ( -y, x)

x = 1

y = 2

Substitute the values

B ( 1, 2)

For vertex C

C' ( 1, 7)

Compare with C' ( -y, x)

x = 7

y = -1

Substitute the values

C ( 7, -1)

Thus, the coordinates of the vertices of the preimages are A ( 3, 5) , B ( 1, 2) and C ( 7, -1)

Learn more about transformation here:

https://brainly.com/question/4289712

#SPJ1