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"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'?

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Triangle XYZ is shown on the coordinate plane below If triangle XYZ is reflected across the line y 1 to create triangle XYZ what is the ordered pair of X class=

Respuesta :

taskmasters
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

Answer:

(4,-3)

Step-by-step explanation:

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