### PROBLEM SOLVING LESSON 5-6 DILATIONS

Find the measures of the following angles. Explain how you know. What are the measures of the other two angles? Are the two triangles similar? Problem 2 Here are two similar polygons. The straight line is drawn from a fixed point called the center of dilation. Problem 4 from Unit 2, Lesson 4 Here are some line segments.

Label any new points. Problem 1 In each pair, some of the angles of two triangles in degrees are given. Do you agree with either of them? Use the information to decide if the triangles are similar or not. Problem 2 All three points displayed are on the line. Plot the points for each dilation described. If so, what is the scale factor?

More Geometry Lessons Transformation Games In these lessons, we will learn what is dilation or enlargement and reduction?

## Unit 2: Practice Problem Sets

Explain why they are similar. Label any new points. Describe a sequence of translations, rotations, and reflections that takes Polygon P to Polygon Q.

What are the measures of solvign other two angles? Problem 2 Here are two similar polygons. Measure the longest side of each of the three triangles. The diagram shows two nested triangles that share a vertex. If the scale factor is greater than 1, the image is an enlargement. Measure the side lengths and angles of each polygon.

# Dilate points (practice) | Dilations | Khan Academy

Problem 1 For each pair of points, find the slope of the line that passes through both points. Problem 3 Make a perspective drawing. Use a measurement tool to find the scale factor.

We welcome your feedback, comments and questions about this site or page. Problem 3 The figure shows two right triangles, each with its longest side on the same line.

Problem 3 The two triangles shown are similar. Problem 3 Here is a triangle. Dilation is a transformation in which each point of an object is moved along a straight line.

Each diagram has a pair solvig figures, one larger than the other. What are some ways you can convince Jada that her claim is not true?

# Dilate triangles (practice) | Dilations | Khan Academy

Problem 1 In each pair, some of the angles of two triangles in degrees are given. A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

The straight line is drawn from a fixed point called the center of dilation. In each pair, some of the angles of two triangles in degrees are given. Problem 6 from Unit 1, Lesson 12 Show that the two triangles are congruent. Problem 3 from Unit 1, Lesson 12 Describe a rigid transformation that you could use to show the polygons are congruent.

Problem 4 from Unit 1, Lesson 15 Which of these sets of angle measures could be the three angles in a triangle? Are the two triangles similar? Problem 5 from Unit 1, Lesson 14 The diagram shows two intersecting lines.

## Dilation Transformation

If the scale factor is between 0 and 1, the image is a reduction. Find the measures of the following angles. Please submit your feedback or enquiries via our Feedback page. Problem 1 Each diagram has lesaon pair of figures, one larger than the other.

The distance the points move depends on the scale factor. Problem 2 Draw two equilateral triangles that are not congruent. These two triangles are similar. The image is similar to the original object.