Question

The coordinates of the vertices of triangle XYZ are given in the table.

X Y Z
(0,−6) (−10,4) (3,−1)


Triangle XYZ is reflected across the y-axis.

What are the vertices of triangle X'Y'Z'?



Enter your answers in the boxes.

X': (
, ​
​)

Y': (
, ​
​)

Z': (
, ​
​)

Answer 1

X': (0,-6)
Y':(10,4)
Z':(-3,-1)

Answer 2

Answer: X'(0,6) Y'(10,4) Z'(-3,-1)

Explanation:

Given: Triangle XYZ is reflected across the y-axis.

The coordinates of the vertices of triangle XYZ are

X(0,−6) Y(−10,4) Z(3,−1)

We know that the rule for a reflection over the y -axis is

`(x,y)\rightarrow(-x,y)` .

Then, the coordinates of X'Y'Z' will be

`X(0,6)\rightarrow X'(0,6)`

`Y(-10,4)\rightarrow Y'(10,4)`

`Z(3,-1)\rightarrow Z'(-3,-1)`