Question

A(5,3), B(2,1), and C(-2,4) are the coordinates of a triangle's vertices. If the triangle is reflected over the x-axis, what are the coordinates of the image?

a. A'(5,-3), B(2,-1), C(-2,-4)
b. A'(-5,3), B(-2,1), C(-2,4)
c. A'(-5,3), B(-2,1), C(2,4)
d. A(-5,-3), B(-2,-1), C(2,-4)

Answer 1

The coordinates of the image after reflecting the triangle over the x-axis are A'(5,-3), B(2,-1), and C(-2,-4)

Step-by-step explanation:

To reflect a point over the x-axis, we keep the x-coordinate the same and change the sign of the y-coordinate. Let's apply this rule to the given coordinates:

A(5,3) reflects to A'(5,-3)

B(2,1) reflects to B(2,-1)

C(-2,4) reflects to C(-2,-4)

Therefore, the coordinates of the image after reflecting the triangle over the x-axis are A'(5,-3), B(2,-1), and C(-2,-4).