Samantha drew
Δ
J
K
L
∆ JKL
with the coordinates
(
2
,
3
)
2, 3
,
(
4
,
3
)
4, 3
, and
(
5
,
2
)
5, 2
. She reflected this triangle over the x-axis to create an image. What are the coordinates of the image?
To reflect a point over the x-axis, we need to keep the x-coordinate the same but change the sign of the y-coordinate.
Let's apply this to each coordinate of the original triangle:
For the coordinate (2, 3), the x-coordinate remains the same and the y-coordinate becomes -3. So the image of (2, 3) is (2, -3).
For the coordinate (4, 3), the x-coordinate remains the same and the y-coordinate becomes -3. So the image of (4, 3) is (4, -3).
For the coordinate (5, 2), the x-coordinate remains the same and the y-coordinate becomes -2. So the image of (5, 2) is (5, -2).
Therefore, the coordinates of the image of ΔJKL are (2, -3), (4, -3), and (5, -2).