Triangle XYZ is shown on the grid. Reflect triangle XYZ across the y-axis and then translate up 4 units.
What are the coordinates of Z’?
To reflect triangle XYZ across the y-axis, we need to change the sign of the x-coordinate of each point.
For point Z (3,1), when reflected across the y-axis, the coordinate becomes (-3,1).
After reflecting, we need to translate the triangle up 4 units. Since the y-coordinate of Z’ is already at 1, adding 4 more units will give us the final y-coordinate of Z’, which is 5.
Therefore, the coordinates of Z’ after reflecting triangle XYZ across the y-axis and translating up 4 units are (-3,5).
The vertices of triangle ABC are located at (1, 2), (1, 5), and (5, 2).
Graph the image of triangle ABC after a reflection over the x-axis.
To reflect triangle ABC over the x-axis, we need to change the sign of the y-coordinate of each point.
The vertices of triangle ABC are:
A (1, 2)
B (1, 5)
C (5, 2)
After reflecting over the x-axis, the new coordinates will be:
A' (1, -2)
B' (1, -5)
C' (5, -2)
Plotting these new points will give you the image of triangle ABC after a reflection over the x-axis:
A' (1, -2)
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A (1, 2)
B' (1, -5) B (1, 5)
C' (5, -2)
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C (5, 2)