Question

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).

Triangle ABC has coordinates
A
(
1
,

4
)
;

B
(
3
,

−
2
)
;

and

C
(
4
,

2
)
.
Find the coordinates of the image
A
'
B
'
C
'
after a reflection over the x-axis.

Answer 1

Explanation:

Given:

Vertices of triangle ABC are A (1,4), B(3,−2) and C(4,2).

Triangle ABC reflected over the x-axis to get the triangle A'B'C'.

To find:

The coordinates of the image A'B'C'.

Solution:

If a figure reflected over the x-axis, then rule of transformation is

Now, using this rule, we get

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