## PROBLEM SOLVING LESSON 5-6 DILATIONS

If you get stuck, try plotting the points on graph paper and drawing the line through them with a ruler. More Geometry Lessons Transformation Games In these lessons, we will learn what is dilation or enlargement and reduction? The image is similar to the original object. The center of dilation is the only invariant point. Find the measures of the following angles. Explain how you know. Problem 3 The two triangles shown are similar.

Find the missing angle measures. If the scale factor of a dilation is between 0 and 1, the image will be smaller than the object. Scroll down the page for more examples and explanations of dilations. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. Problem 3 Consider the graphed line. Problem 3 Make a perspective drawing. Problem 3 The two triangles shown are similar.

Draw an image of the figure PQRS. Problem 4 from Unit 2, Lesson 5 The diagram shows two nested triangles that share a vertex.

# Dilation Transformation (Solutions, Examples, Videos)

Problem 2 All three points displayed are on the line. The distance the points move depends on the scale factor. Problem 1 For each pair of points, find the slope of the line that passes through both points. Find the missing angle measures. If yes, what are the center of dilation and the scale factor?

In each pair, some of the angles of two triangles in degrees are given.

If the scale factor is greater than 1, the image is an enlargement. Problem 1 Each diagram has a pair of figures, one larger than the other.

Problem 3 Make a perspective drawing. Rotate to landscape screen format on a mobile phone or small solvving to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

Problem 2 Here are two similar polygons.

Measure the longest side of each of the three triangles. Problem 1 These two triangles are similar. Scroll down the page for more examples and explanations 56 dilations. Problem 4 These two triangles are similar. If so, what is the scale factor? Enlarge triangle PQR with O as the center of enlargement and scale factor. Problem solvig Here are three polygons. The center of dilation is the only invariant point.

The diagram shows two nested triangles that share a vertex. Select all that apply.

Are the two triangles similar? Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

## Unit 2: Practice Problem Sets

Explain why they are not similar. Problem 3 Here is a triangle. Explain why they are similar. Problem 3 The figure shows two right triangles, each with its longest side on the same line.

Problem 3 from Unit 1, Lesson 12 Describe a rigid dlations that you could use to show the polygons are congruent. Measure the side lengths and angles of each polygon.

## Dilation Transformation

Label any new points. Note that in this example, all the points in the triangle have been transformed except point C, which is the only invariant point. Problem 2 Draw two equilateral triangles that are not congruent. Problem 5 from Unit 1, Lesson 14 The diagram shows two intersecting lines. Problem 3 Consider the graphed line. Do you think two equilateral triangles will be similar alwayssometimesor never?