PROBLEM SOLVING LESSON 5-6 DILATIONS

For each pair, describe a point and a scale factor to use for a dilation moving the larger triangle to the smaller one. Are the two triangles similar? We will first look at enlargements which are dilations with scale factors greater than 1. Problem 3 The two triangles shown are similar. Measure the side lengths and angles of your triangles. You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. For each pair of points, find the slope of the line that passes through both points.

Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. Measure the longest side of each of the three triangles. Explain why they are not similar. Problem 4 from Unit 2, Lesson 5 The diagram shows two nested triangles that share a vertex. Problem 1 In each pair, some of the angles of two triangles in degrees are given. Label any new points. If yes, what are the center of dilation and the scale factor?

Problem 3 The two triangles shown are similar.

Problem 2 All three points displayed are on the line. Problem 3 Here is a triangle.

problem solving lesson 5-6 dilations

Use a measurement tool to find solvig scale factor. For each pair of points, find the slope of the line that passes through both points. O is the center of dilation and the scale factor is 1.

Unit 2: Practice Problem Sets

Problem 1 In each pair, some of the angles of two triangles in degrees are given. Include in your work the center of dilation, the shape you dilate, and the scale factor you use. Problem 3 Draw two polygons that are not similar but could be mistaken for being similar. We will first look at enlargements which are dilations with scale factors greater than 1. Enlarge triangle PQR with O as the center of enlargement and scale factor.

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Scroll down the pesson 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. Measure the side lengths and angles of each polygon. Problem 3 Consider the graphed line.

Dilate triangles (practice) | Dilations | Khan Academy

Problem 3 from Unit 1, Lesson 12 Describe a rigid transformation that solvinb could use to show the polygons are congruent. The diagram shows two nested triangles that share a vertex.

problem solving lesson 5-6 dilations

Clare says the two triangles are congruent, because their angle measures are the same. Label any new points. Use the information to decide if the triangles are similar or not. If you get stuck, try plotting the points on graph paper and drawing the line through them with a ruler. Problem 3 Here are three polygons. Explain how you know.

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. Problem 1 For each leson of points, find the slope of the line that passes through both points. The center of dilation is the only invariant point.

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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 1 These two solvlng are similar. Problem 3 The figure shows two right triangles, each with its longest side on the same line. Explain why they are not similar.

Dilation is a transformation in which each point of an object is moved along a straight line. Problem 5 from Unit 1, Lesson 14 The diagram shows two intersecting lines. We welcome your feedback, comments and questions about this site or page. In each pair, some of the angles of two triangles in degrees are given. If so, what is the scale factor? If the scale factor is between 0 and 1, the image is a reduction.