### PROBLEM SOLVING LESSON 5-6 DILATIONS

Problem 3 Here is a triangle. 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. Do you agree with either of them? Measure the side lengths and angles of your triangles. The image is similar to the original object. Problem 3 Draw two polygons that are not similar but could be mistaken for being similar.

Plot the points for each dilation described. Problem 2 Here are two similar polygons. For each pair of points, find the slope of the line that passes through both 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. O is the center of dilation and the scale factor is 1.

Do you agree with either of them?

Problem 4 from Unit 2, Lesson 5 The diagram shows two nested triangles that share a vertex. Problem 3 Make a perspective drawing. Problem 3 The figure shows two right triangles, each with its longest side on the same line.

What do you notice? Problem 4 from Unit 2, Lesson 4 Here are some dilatiohs segments. Explain why they are not similar. Problem 2 Here are two similar polygons.

Problem 1 In each pair, some of the angles of two triangles in degrees are given. The image is similar to the original object. The center of dilation is the only invariant point.

Problem 3 Consider the graphed line. Problem 3 Draw two polygons that are not similar but could be mistaken for being similar. Measure the side lengths and angles of your triangles. Find the measures of the following angles. If the scale factor of a dilation is between 0 and 1, the image will be smaller than the object.

What are the measures of the other two angles? Label any new points. Describe a sequence of translations, rotations, and reflections that takes Polygon P to Polygon Q. Clare says the two triangles are congruent, because their angle measures are the same.

If you get stuck, try plotting the points on graph paper and drawing the line through them with a ruler. Measure the longest side of each of the three triangles. You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics.

## Unit 2: Practice Problem Sets

idlations Problem 4 These two triangles are similar. Explain why they are similar. 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.

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

Please submit your feedback or enquiries via our Feedback page. For each pair of points, find the slope of the line that passes through both points. Do you think two equilateral triangles will be similar solvibgsometimesor never? Problem 3 from Unit 1, Lesson 12 Describe a rigid transformation that you could use to show the polygons are congruent.

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# Dilate triangles (practice) | Dilations | Khan Academy

Scroll down the page for more examples and explanations of dilations. The distance the points move depends on the scale factor. Lessson two triangles are similar. Each diagram has a pair of figures, one larger than the other.