"Triangle XYZ is shown on the coordinate plane below. If triangle XYZ is reflected across the line y = 1 to create triangle X'Y'

Question

barxatty [35]

2 years ago

13

"Triangle XYZ is shown on the coordinate plane below. If triangle XYZ is reflected across the line y = 1 to create triangle X'Y'

Z', what is the ordered pair of X'?
"

Mathematics

1 answer:

baherus [9] · Answer 1 · 2022-07-27T15:20:38+03:00

Original points:
X (4,5)
Y (5,3)
Z (1,3)

When a point is reflected over the x-axis, its original coordinate (x,y) becomes (x,-y)

When a point is reflected over the y-axis, its original coordinate (x,y) becomes (-x,y)

I am assuming the triangle is reflected over the x-axis. But we have to consider that the line y = 1.

Point X (4,5)

all things held constant, x' would have the coordinates (4,-5)

but line y = 1. So, x' (4, -3)

5 - 1 = 4
1 - 4 = -3