Lesson 3 Leap Frog Solidify Understanding
In each problem, there will be a pre-image and several images based on the given pre-image. Determine which of the images are rotations of the given pre-image and which of them are reflections of the pre-image. If an image is the result of a rotation and a reflection, then state both. (Compare all images to the pre-image.)
On each of the coordinate grids there is a labeled point and line. Use the line as a line of reflection to reflect the given point. Label the image of the point as indicated.
(Hint: points reflect along paths perpendicular to the line of reflection. Use perpendicular slope!)
For each pair of points,
Rotate the given figure as described.
For each linear equation, write the slope of a line parallel to the given line.
For each linear equation, write the slope of a line perpendicular to the given line.
Find the slope between each pair of points. Then, using the Pythagorean theorem, find the distance between each pair of points. You may use the graph to help.