Question

Jon drew a triangle with coordinates (5,1), (7,-2) and (3,-1) he drew an image of the triangle with the coordinates of (5,-1), (7,2) and (3,1) How did he make the image
A. Translated figure 2 units
B. Translated figure 4 units
C. Reflected over x axis
D. Reflected over y axis

Answer 1

Answer: C. Reflected over x axis

Step-by-step explanation:

When we reflect a figure over x-axis , then the magnitude of each corresponding coordinate remains same but the polarity of y-coordinate gets changed.

i.e. The rule for reflection across x-axis is :_

$(x,y)\to(x,-y)$

Given : Jon drew a triangle with coordinates (5,1), (7,-2) and (3,-1) he drew an image of the triangle with the coordinates of (5,-1), (7,2) and (3,1).

We can see that the magnitude of each corresponding coordinate remains same but the polarity of y-coordinate got change.

It means he made the image by reflecting it over x-axis.

Hence, C is the CORRECT answer.

Answer 2

Jon reflected over the x axis.

Reflecting over the x axis turns the y corrdinate into the opposite sign of the y coordinate. Here is the formula for that, if you want to take notes.

(x,y)—>(x,-y)

I hope this helped. Your answer to this question is D