# Transformations

- Author:
- Sarah Pigman

- Topic:
- Geometry

## Question 1

What are the coordinates of the image after a translation of 3 units left and 5 units up?

## Question 2

Which is the rule for the following translation? A (2, 6) , B (4, 2) A' (-6, 2) B' (-4, -2)

## Question 3

Given XYZ where X (3, -5), Y (-2, 4) and Z (1, 6), reflect the triangle over the x-axis. What are the coordinates of the image?

## Question 4

Reflect the image over the line y = x. Provide a final picture of the preimage and image. What are the new coordinates?

## Question 5

Given the figure, A (5, 3), B(-2, 1), C (7, -3), What are the coordinates if the figure is reflected over the following: a.) x-axis b.) y-axis c.) y = x

## Question 6

If you rotate the point (4,3) clockwise about the origin, discover the location of the image.

## Question 7

Rotating a figure clockwise is the same as rotating a figure how many degrees counterclockwise?

## Question 8

If you rotate the point (-5, -2) clockwise about the origin, discover the location of the image.

## Question 9

If you rotated a point counterclockwise and the final location is (10, 10), where is the original location for the point?

## Question 10

Draw a triangle in the coordinate plane. Plot a point at the origin for the center of dilation with a ratio of 2. What are the coordinates after the dilation?

## Question 11

The coordinates of the vertices of a triangle are (4, 6), (2, 7), (5, 10). You dilate the triangle with a ratio of . What are the coordinates of the image?

## Question 12

The coordinates of a segment are (7, - 4) and (12, 5). You dilate the segment with a ratio of 1:4. What are the coordinates of the image?

## Question 13

A figure is dilated with a ratio of 2:3. One of the image points P' is located at (6, 10). Where was the point P located in the original figure?

## Question 14

Create a shape and perform one of the four transformations we have been working on. List below what your transformation was.