# Dilations Worksheets

What are Dilation Transformations? In mathematics, a dilation is a function from a metric space into itself that satisfies the identity for all points, where is the distance from to and is some positive real number. In Euclidean space, such a dilation is a similarity of the space. Dilations change the size but not the shape of an object or figure. OR A dilation is a transformation that produces an image that is the same shape as the original, but is a different size... A description of a dilation includes the scale factor (or ratio) and the center of the dilation. The center of dilation is a fixed point in the plane.

• ### Basic Lesson

Guides students through recognizing dilations. Under a dilation, triangle A(0,0), B(0,2), C(4,0) becomes triangle A'(0,0), B'(0,4), C(8,0). What is the scale factor for this dilation? B(0,2) becomes after dilation B'(0,4) that means y coordinate changed 2 to 4.

• ### Intermediate Lesson

Demonstrates the use of coordinates with dilations. Triangle ABC becomes A'B'C' after dilation as shown in figure. What is the scale factor?

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of the Dilations.

• ### Independent Practice 2

Students use Dilations in 20 assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with 12 problems to achieve the concepts of Dilations.

• ### Skill Quiz

This tests the students ability to understand Dilations.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

• ### Basic Lesson

Guides students through solving transformations in the form ofg dilations. If an image is 7 units in size, under a dilation of scale factor 3 what will be the size of figure after dilation?

• ### Intermediate Lesson

Demonstrates the concept of advanced skill while solving these problems. Under a dilation, the picture shown at the left has been reduced in size just half of the image. What is the scalar factor.

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of the core skill that is lead here. The length of a pencil is 6 inches. Under a dilation of scale factor 2, the length of the large/small pencil is:?

• ### Independent Practice 2

Students work on 20 different assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with 12 problems to achieve the concepts we explored.

• ### Skill Quiz

This tests the students ability to understand what we are studying here.