#### PROBLEM SOLVING LESSON 5-6 DILATIONS

Problem 3 Make a perspective drawing. In each pair, some of the angles of two triangles in degrees are given. 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. Explain why they are similar. Please submit your feedback or enquiries via our Feedback page. Problem 1 For each pair of points, find the slope of the line that passes through both points. Problem 2 Draw two equilateral triangles that are not congruent.

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 3 from Unit 1, Lesson 12 Describe a rigid transformation that you could use to show the polygons are congruent. If you get stuck, try plotting the points on graph paper and drawing the line through them with a ruler. Explain how you know. Problem 5 from Unit 1, Lesson 14 The diagram shows two intersecting lines.

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.

Prolbem 1 For each pair of points, find the slope of the line that passes through both points. Find the measures of the following angles.

Describe a sequence of translations, rotations, lroblem reflections that takes Polygon P to Polygon Q. Problem 1 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.

If so, what is the scale factor? Problem 4 from Unit 1, Lesson 15 Which of dliations sets of angle measures could be the three angles in a triangle?

In each pair, some of the angles of two triangles in degrees are given. Dilatuons diagram has a pair of figures, one larger than the other. Draw two polygons that are not similar but could be mistaken for being similar.

## Unit 2: Practice Problem Sets

For each soolving, 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.

If the scale factor is greater than 1, the image is an enlargement. You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Measure the longest side of each of the three triangles.

# Dilate triangles (practice) | Dilations | Khan Academy

If yes, what are the center of dilation and the scale factor? Plot the points for each dilation described. What do you notice? These two triangles are similar. Problem 3 The two triangles shown are similar.

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. Problem 2 Here are two similar polygons. Problem 3 Here are three polygons. Are the two triangles similar? It is then called a reduction. If the scale factor is between 0 and 1, the image is a reduction. Select all that apply. Draw an image of the figure PQRS. Problem 2 All three points displayed are on the line.

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The image is similar to the original object. The center of dilation is the only invariant point. Problem aolving from Unit 1, Lesson 12 Show that the two triangles are congruent.

## Dilation Transformation

Explain why they are not similar. Problem 3 Draw two polygons that are not similar but dilationx be mistaken for being similar. We will first look at enlargements which are dilations with scale factors greater than 1.