Question

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the Equation Editor. If such a symbol is needed, type "RightArrow." For example: P(0, 0) RightArrow P′(1, 2).

Write a translation rule that maps point
D
(
7
,

−
3
)
onto point
D
'
(
2
,

5
)
.
please help

Answer 1

A'(1, -4)

B'(3, 2)

C'(4. -2)

Explanation:

Given

Triangle ABC with coordinates

A(1, 4), B(3, -2), C(4, 2)

To find

Coordinates of the image A'B'C' after a reflection over the x-axis

Solution

Rule for reflection over x-axis is

R(x) = (x, y) → (x, -y)

The coordinates will change as follows

A(1, 4) → A'(1, -4)

B(3, -2) → B'(3, 2)

C(4, 2) → C'(4. -2)