PROBLEM SOLVING LESSON 5-6 DILATIONS

Draw two polygons that are not similar but could be mistaken for being similar. Problem 3 The figure shows two right triangles, each with its longest side on the same line. The straight line is drawn from a fixed point called the center of dilation. Do you think two equilateral triangles will be similar always , sometimes , or never? Find the measures of the following angles.

Select all that apply. If the scale factor of a dilation is between 0 and 1, the image will be smaller than the object. Measure the longest side of each of the three triangles. Problem 1 Each diagram has a pair of figures, one larger than the other. Problem 3 Here is a triangle. The diagram shows two nested triangles that share a vertex. You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics.

Problem 6 from Unit 1, Lesson 12 Show that the two triangles are congruent.

problem solving lesson 5-6 dilations

If the scale factor is between 0 and 1, the image is a diations. Explain why they are not similar. Do you think two equilateral triangles will be similar alwayssometimesor never? Clare says the two triangles are congruent, because their angle measures are the same. Scroll down the page for more examples and explanations of dilations.

Dilate triangles (practice) | Dilations | Khan Academy

Problem 1 In each pair, some of the angles of two triangles in degrees are given. Problem 4 from Unit proboem, Lesson 7 A rectangle has length 6 and height 4. More Geometry Lessons Transformation Games In these lessons, we will learn what is dilation or enlargement and reduction? Problem 3 The figure shows two right triangles, each with its longest side on the same line.

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Ch.5, Lesson 6, Objective 2

Explain how you know. Measure the side lengths and angles of your triangles. Problem 4 from Unit 2, Lesson 4 Here are some line segments.

Do you agree with either of them? Select all that apply.

Unit 2: Practice Problem Sets

Problem 4 These two triangles are similar. What are some ways you can convince Jada that her claim is not true? If yes, what are the center of dilation and the scale factor? Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Dilation Transformation

It is then called a reduction. Problem 3 Draw two polygons that are not similar but could be mistaken for being similar.

problem solving lesson 5-6 dilations

Each diagram has a pair of figures, one larger than the other. Describe a sequence of translations, rotations, and reflections that takes Polygon P to Polygon Q. If you get stuck, try plotting the points on graph paper and drawing the line through them with a ruler.

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What are the measures of the other two angles? Elena uses Triangle B and says no, the slope of this line is 1. Problem 2 Draw two equilateral triangles that are not congruent. Problem 3 Consider the graphed line.

In each pair, some of the angles of two triangles in degrees are given. The distance the points move depends on the scale factor. The diagram shows two nested triangles that share a vertex.

Problem 2 All three points displayed are on the line. Problem 5 from Unit 1, Lesson 14 The diagram shows two intersecting lines. Problem 3 Here is a triangle. 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.