Question

A line segment has endpoints at (3, 2) and (2, –3). Which reflection will produce an image with endpoints at (3, –2) and (2, 3)? A.a reflection of the line segment across the x-axis B. a reflection of the line segment across the y-axis C. a reflection of the line segment across the line y = x D.a reflection of the line segment across the line y = –x

Answer 1

For this case we have the following points:

(3, 2)

(2. 3)

We apply the following transformation:

(x, y) -------------> (x, -y) ----------------> (x ', y')

This transformation represents a reflection of the points on the x axis.

We have then:

(3, 2) -------------> (3, - (2)) ----------------> (3, -2)

(2, -3) -------------> (2, - (- 3)) ----------------> (2, 3 )

We observe that the points obtained are the points that are sought.

Answer:

A. a reflection of the line segment across the x-axis

Answer 2

A reflection of the line segment across the x-axis" rreflection will produce an image with endpoints at (3, –2) and (2, 3)

Given

A line segment has endpoints at (3, 2) and (2, –3).

What is reflection?

Reflection of Light occurs when a ray of light back by a body or surface of light,

First, we want to change the segment with endpoints at (3, 2) and (2, -3) to a segment with endpoints (3, –2) and (2, 3)

Note that the only thing that changes is the x-value of the endpoints, so we need to apply a reflection that only changes the x-value.

That reflection is a reflection across the y-axis.

For a general point (x, y), a reflection across the y-axis transforms the point to (-x, y).

Then the correct option is:

"a reflection of the line segment across the x-axis"

To know more about reflection click the link given below.

https://brainly.com/question/17288842