Question

In the following graph, the teacher asks a student named Jerome to give the coordinates of atriangle created by reflecting AABC about the x axis. Jerome states that the coordinates of thenew triangle, AA'B'C' are A' (-2, -3), B (-3,-2). C'(-4,-8).1.1.State whether the coordinates for Jerome's transformed triangle are correct. In at least foursentences, support your response with a brief explanation. Be sure to use the termtransformation in your explanation

Answer 1

Let's start by reading and making note of the original triangle's vertices A, B and C:

A = (2, 3)

B = (5, 2)

C = (4, 8)

Now, let's recall what a reflection about the x-axis means:

what changes is the y-coordinate, while the x-coordinate stays the same.

The y-coordinate changes to the opposite of what it was.

Therefore, for our case, the transformation should bring the following new vertices :

A' = (2, -3)

B' = (5, -2)

C' = (4, -8)

Therefore, the answer that Jerome gave is not correct, and our response is supported by the explanation given above for what happens when a reflection about the x-axis has to reflect : " the image is like the mirror image about the x-axis" - like if a mirror is placed on the x axis and you see the image on the other side of the mirror. SO for such the x-coordinate stays the same, and the y-coordinate flips to its opposite.