# Lesson 1Leaping Lizards!Develop Understanding

For each of the right triangles, determine the measure of the missing side. Leave the measures in exact form if irrational.

## Set

Use the images and pre-images of the insects on the grids shown to answer the problems. You may sketch on the grids to show attributes of the transformation to assist yourself in the work.

### 7.

Name the single transformation that can be used to carry the pre-image to the image for each pair of insects.

### 8.

Consider the connection between corresponding points for each of the transformations, to visualize the pathway the points might follow between image and pre-image, which of the following statements are true and which are false. Draw a sketch to accompany your response.

#### a.

In a reflection, pairs of corresponding points lie on parallel lines.

True or False?

#### b.

In a translation, pairs of corresponding points are on parallel lines.

True or False?

#### c.

In a rotation, pairs of corresponding points are on parallel lines.

True or False?

#### d.

In a reflection, pairs of corresponding points lie on segments perpendicular to the line of reflection.

True or False?

#### e.

In a rotation, pairs of corresponding points lie on concentric circles.

True or False?

#### f.

In a translation, pairs of corresponding points lie on concentric circles.

True or False?

Perform each of the transformations as described. Focus on anchor points!

### 9.

Translate the grasshopper right and up .

### 10.

Reflect the ant over the line . Create anchor points as needed.

## Go

Graph each function on the coordinate grid provided.

### 13.

State at least one similarity and one difference between the functions and .

### 16.

State at least one similarity and one difference between the functions and .

### 19.

State at least one similarity and one difference between the functions and .