Use the graph to answer the question.

Question

Use the graph to answer the question.

In which quadrant will the image lie if AB is reflected in the x-axis?

Line segment A B is plotted on a coordinate plane. Point A is at left parenthesis 2 comma 5 right parenthesis. Point B is located at left parenthesis 6 comma 3 right parenthesis.

A.
Quadrant I

B.
Quadrant II

C.
Quadrant III

D.
Quadrant IV

Answer 1

The image of AB after reflecting in the x-axis will be below the x-axis, in Quadrant IV.

Answer 2

A. isometry

Answer 3

A(n) _______________ is a mapping that does not change the size of the original figure.

A.
isometry

B.
mapping

C.
image

D.
preimage

Answer 4

Hmm, well, if AB is reflected in the x-axis, it means that the y-coordinate of each point will become its opposite. So the image of point A would be at (2, -5) and the image of point B would be at (6, -3).

Now, looking at the graph, we can see that the original points A and B are in Quadrant I. But after reflecting, the image points A' and B' will still lie above the x-axis. Therefore, the image will lie in Quadrant I.

So the answer is A. Quadrant I. Keep on graphing, my friend!

Answer 5

To answer this question using the graph, we need to understand how reflecting a point in the x-axis changes its coordinates. Reflecting a point in the x-axis simply means changing the sign of the y-coordinate while keeping the x-coordinate constant.

In this case, point A is at (2, 5) and point B is at (6, 3). Reflecting point A in the x-axis would result in a new point with the same x-coordinate of 2, but with the y-coordinate of -5. Reflecting point B in the x-axis would result in a new point with the same x-coordinate of 6, but with the y-coordinate of -3.

Now, let's look at the quadrants on the coordinate plane. Quadrant I is the top right quadrant, Quadrant II is the top left quadrant, Quadrant III is the bottom left quadrant, and Quadrant IV is the bottom right quadrant.

Since the y-coordinate of the reflected points will be negative, both the reflected point A and B will lie in Quadrant IV, which means the image will lie in Quadrant IV.

So, the correct answer is D. Quadrant IV.