PROBLEM SOLVING LESSON 5-6 DILATIONS

Problem 4 from Unit 2, Lesson 4 Here are some line segments. The straight line is drawn from a fixed point called the center of dilation. The center of dilation is the only invariant point. Problem 3 Consider the graphed line. Do you agree with either of them? For each pair, describe a point and a scale factor to use for a dilation moving the larger triangle to the smaller one.

Problem 1 For each pair of points, find the slope of the line that passes through both points. Problem 4 from Unit 2, Lesson 7 A rectangle has length 6 and height 4. Problem 3 The two triangles shown are similar. Measure the side lengths and angles of each polygon. Elena uses Triangle B and says no, the slope of this line is 1. 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.

Problem 5 from Unit 1, Lesson 14 The diagram shows two intersecting lines. Please submit your feedback or enquiries via our Feedback page. Problem 3 Here are three polygons.

Measure the longest side of each of the three triangles. 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. In each pair, some of the angles of two triangles in degrees are given. Explain why they are not similar. Draw two polygons that are not similar but could be mistaken for being problek.

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We welcome your feedback, comments and questions about this site or page. The distance the points move depends on the scale factor. Problem 1 Each diagram has a pair of figures, one larger than the other.

problem solving lesson 5-6 dilations

Select all that apply. Problem 2 Draw two equilateral triangles that are not congruent. Problem 3 from Unit 1, Lesson 12 Describe a rigid transformation that you could use to show the polygons are congruent.

Do you agree with either of them? Dilation is a transformation in which each point of an object is moved along a straight line.

Dilate points (practice) | Dilations | Khan Academy

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.

problem solving lesson 5-6 dilations

Problem 3 Consider the graphed line. Find dilationss measures of the following angles. Problem 3 The two triangles shown are similar. What are some ways you can convince Jada that her claim is not true? Clare says the two triangles are congruent, because their angle measures are the same. Note that in this example, all the points in the triangle have been transformed except point C, which is the only invariant point.

Problem 3 Make a perspective drawing. The straight line is drawn from a fixed point called the center of dilation. Each diagram has a pair of figures, one larger than the other.

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Unit 2: Practice Problem Sets

Label any new points. 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. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. For each pair, describe a point and a scale factor to use for a dilation moving the larger triangle to the smaller one.

If the scale factor of a dilation is between 0 and 1, the image will be smaller than the object. Enlarge triangle PQR with O as the center of enlargement and scale factor. Problem 4 from Unit 1, Lesson 15 Which of these sets of angle measures could be the three angles in a triangle?

Use the information to decide if the triangles are similar or not. The center of dilation is the only invariant point.

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