Question

Given FGH with vertices F(-1, 3), G(-5, 1), and H(-3, 5) reflected by Rx-axis

Find the coordinate of vertices F'G'H the image of FGH

1, F(-1, 3), G(-5, 1), and H(-3, 5)
2, F(-1, -3), G(-5, -1), and H(-3, -5)
3, F(1, 3), G(5, 1), and H(3, 5)
4, F(-1, 3), G(-5, 1), and H(-3, -5)

Answer 1

Option F is true.

Explanation:

The rule of reflection across the x-axis

P(x, y) → P'(x, -y)

For example, when a point P with coordinates (1, 2) is reflected across the x-axis, the coordinates of the image of point P will be: P'(1,-2).

i.e.

P(x, y) → P'(x, -y)

P(1, 2) → P'(1, -2)

Now, given FGH with vertices F(-1, 3), G(-5, 1), and H(-3, 5) reflected by Rx-axis.

Using the rule of reflection across the x-axis

• P(x, y) → P'(x, -y)

Thus, the coordinate of vertices F'G'H the image of FGH will be:

F(-1, 3) → F'(-1, -3)

G(-5, 1) → G'(-5, -1)

H(-3, 5) → H'(-3, -5)

Hence, option F is true.