### PROBLEM SOLVING LESSON 5-6 DILATIONS

Problem 4 from Unit 1, Lesson 15 Which of these sets of angle measures could be the three angles in a triangle? Problem 4 from Unit 2, Lesson 7 A rectangle has length 6 and height 4. Problem 1 Each diagram has a pair of figures, one larger than the other. You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Problem 4 from Unit 2, Lesson 4 Here are some line segments.

Problem 1 In each pair, some of the angles of two triangles in degrees are given. Explain how you know. Find the measures of the following angles. If so, what is the scale factor? Draw two polygons that are not similar but could be mistaken for being similar.

Measure the side lengths and angles of each polygon. What are the measures of the other two angles? Find the measures of the following angles.

## Unit 2: Practice Problem Sets

These two triangles are similar. It is then called a reduction. Problem 4 from Unit 2, Lesson 5 The diagram shows two nested triangles that share a lesaon.

Note that in this example, all the points in the triangle have been transformed except point C, 56- is the only invariant point. Problem 1 These two triangles are similar. Problem 3 Draw two polygons that are not similar but could be mistaken for being similar. We will first look at enlargements which are dilations with scale factors greater than 1.

Include in your work the center of dilation, the shape you dilate, and the scale factor you use. Do you agree with either of them?

Problem 3 Here is a triangle. Problem 1 In each pair, some of the angles solvjng two triangles in degrees are given. You can rilations the free Mathway calculator and problem solver below to practice Algebra or other math topics.

In each pair, some of the angles of two triangles in degrees are given. O is the center of dilation and the scale factor is 1. Problem 4 from Solvinng 2, Lesson 7 A rectangle has length 6 and height 4.

For each pair, describe a point and a scale factor to use for a dilation moving the larger triangle to the smaller one. Problem 2 Draw two equilateral triangles that are not congruent. Describe a sequence of translations, rotations, and reflections that takes Polygon P to Polygon Q.

What do you notice?

Use a measurement tool to find the scale factor. We welcome your feedback, comments and questions about this site or page.

# Dilation Transformation (Solutions, Examples, Videos)

Select all that apply. Problem 3 The two triangles shown are similar.

Label any new points. Problem 1 Each diagram has a pair of figures, one larger than the other. The diagram shows two nested triangles that share a vertex.

Lrsson the scale factor is between 0 and 1, the image is a reduction. If so, what is the scale factor? Problem 3 Make a perspective drawing. Problem 5 from Unit 1, Lesson 14 The diagram shows two intersecting lines. Scroll down the page for more examples and explanations of dilations.

What is Dilation or Enlargement? Problem 4 from Unit 2, Lesson 4 Here are some line segments. Problem 2 All three points displayed are on the line.