Question

1. describe how the original figure in the example problem was moved to get the image. 2. a figure and a line of reflection are shown. draw the image of the figure after it is reflected across the line. 3. look at the image you drew in problem 2. are the properties of the sides and angles in the image the same as the properties of the sides and angles in the original figure? explain.

Explanation:

Step1: Analyze problem 1

Translation is a transformation that moves every point of a figure the same distance in the same direction. So, the original figure in the example problem was translated (moved) to get the image.

Step2: Analyze problem 2

To draw the reflection of the figure across the line: For each point in the original figure, measure the perpendicular distance to the line of reflection. Then, on the opposite side of the line of reflection, mark a point the same perpendicular distance from the line. Connect these new - marked points to form the reflected figure.

Step3: Analyze problem 3

A reflection is a rigid transformation. Rigid transformations preserve the size and shape of a figure. This means that the lengths of the sides and the measures of the angles in the image are the same as the lengths of the sides and the measures of the angles in the original figure.

Answer:

1. The original figure was translated to get the image.
2. (Here, a visual drawing is required. But conceptually, follow the steps in Step2 above to draw the reflected figure.)
3. Yes, the properties of the sides and angles in the image are the same as the properties of the sides and angles in the original figure because reflection is a rigid transformation that preserves size and shape.