# 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. Use the information to decide if the triangles are similar or not. The straight line is drawn from a fixed point called the center of dilation. Measure the longest side of each of the three triangles. Problem 2 All three points displayed are on the line. Are the two triangles similar? Problem 4 from Unit 2, Lesson 5 The diagram shows two nested triangles that share a vertex.

What is Dilation or Enlargement? The diagram shows two nested triangles that share a vertex. Measure the longest side of each of the three triangles. Problem 1 These two triangles are similar. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Problem 1 In each pair, some of the angles of two triangles in degrees are given. We welcome your feedback, comments and questions about this site or page.

Problem 3 The two triangles shown are similar. If the scale factor is greater than 1, the image is an enlargement. Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations. If so, what is the scale factor? Problem 3 Make a perspective drawing.

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## Dilation Transformation

Problem 1 For each pair dilstions points, find the slope of the line that passes through both points. In each pair, some of the angles of two triangles in degrees are given.

Problem 3 from Unit 1, Lesson 12 Describe a rigid transformation that you could use to show the polygons are congruent. What are the measures of the other two angles? Each diagram has a pair of figures, one larger than the other.

## Unit 2: Practice Problem Sets

It is then called a reduction. Problem 5 from Unit 1, Lesson 14 The diagram shows two intersecting lines.

Draw an image of the figure PQRS. Measure the side lengths and angles of each polygon. We will first look at enlargements which are dilations with scale factors greater than 1. Problem 4 from Unit 2, Lesson 7 A rectangle has length 6 and height 4. Do you agree with either of them? Problem 2 Draw two equilateral triangles that are not congruent.

Label any new points. Problem 4 These two triangles are similar. The straight line is drawn from a fixed point called the center of dilation.

For each pair, show that the two figures are similar by identifying a sequence of translations, rotations, reflections, and dilations that takes the smaller figure to the larger one. Include in your work the center of dilation, the shape you dilate, and the scale factor you use. Select all that apply. Scroll down the page soolving more examples and explanations of dilations. The image is similar to the original object. Explain why they are similar.

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# Dilation Transformation (Solutions, Examples, Videos)

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

Problem 4 from Unit 1, Lesson 15 Which of these sets of angle measures could be the three angles in a triangle? Problem 3 Consider the graphed line. If the scale factor of a dilation is between 0 and 1, the image will be smaller than the object.

Find the missing angle measures. Elena uses Triangle B and says no, the slope of this line is 1. Find the measures of the following angles.

If yes, what are the center of dilation and the scale factor?