Question

Triangle XYZ has points X = (-4,4), Y = (0,1), and Z = (4,4). Triangle X'Y'Z' has points X' = (-5,4), Y' = (-1,-1), Z' = (3,-4). What is the transformation of XYZ to X'Y'Z'?

A) Shifted to the left 1 and reflected about the x-axis
B) Shifted to the left 1 and reflected about the y-axis
C) Shifted to the right 1 and reflected about the x-axis
D) Shifted to the right 1 and reflected about the y-axis

Answer 1

A) Shifted to the left 1 and reflected about the x-axis. Triangle XYZ has been shifted to the left 1 unit and reflected about the x-axis to form Triangle X'Y'Z'.

Step-by-step explanation:

To determine the transformation from Triangle XYZ to Triangle X'Y'Z', we need to analyze the changes in the coordinates of the corresponding points.

Point X(-4,4) in Triangle XYZ corresponds to point X'(-5,4) in Triangle X'Y'Z'. The x-coordinate has shifted to the left by 1 unit. The y-coordinate remains the same.

Using the same approach, we can see that for points Y and Z, the x-coordinate has also shifted to the left by 1 unit in Triangle X'Y'Z'.

Therefore, the correct answer is A) Shifted to the left 1 and reflected about the x-axis.