# Lesson 2 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.)

### 1.

#### a.

#### b.

#### c.

#### d.

### 2.

#### a.

#### b.

#### c.

#### d.

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!)

### 3.

Reflect point

### 4.

Reflect point

### 5.

Reflect point

### 6.

Reflect point

For each pair of points,

### 7.

### 8.

Rotate the given figure as described.

### 9.

Rotate

### 10.

Rotate

For each linear equation, write the slope of a line parallel to the given line.

### 11.

### 12.

### 13.

For each linear equation, write the slope of a line perpendicular to the given line.

### 14.

### 15.

### 16.

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.

### 17.

Slope:

Distance:

### 18.

Slope:

Distance: