Triangle XYZ has a side that is 8 units long the triangle is reflected across the y-axis does the reflected figure have a side 8 units along how do you know
A. Yes reflection perseveres the orientation of the figure
B. No a reflection figure will be smaller then the original figure
C. Yes reflection preserves the size of the figure
D. No reflection figure could be any size
wrong again!
C. Yes reflection preserves the size of the figure
Apologies for the incorrect response.
You are correct. Reflection does indeed preserve the size of the figure. When a figure is reflected across the y-axis or any other axis, the shape and size of the figure remain the same. Therefore, the reflected figure will also have a side length of 8 units, just like the original triangle XYZ.
D. No, the reflected figure could be any size.
When a figure is reflected across the y-axis, the x-coordinates of the points change sign, while the y-coordinates remain the same. This means that the reflected figure will have the same side lengths as the original figure, but they may not be oriented in the same direction. Therefore, the reflected figure may or may not have a side length of 8 units; it could be shorter or longer depending on the specific points and their positions.