### PROBLEM SOLVING LESSON 5-6 DILATIONS

Measure the longest side of each of the three triangles. For each pair, describe a point and a scale factor to use for a dilation moving the larger triangle to the smaller one. Note that in this example, all the points in the triangle have been transformed except point C, which is the only invariant point. Find the measures of the following angles. It is then called a reduction. Problem 3 Make a perspective drawing. We will first look at enlargements which are dilations with scale factors greater than 1.

Find the missing angle measures. O is the center of dilation and the scale factor is 1. What are the measures of the other two angles? 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 The two triangles shown are similar. Measure the side lengths and angles of each polygon. Problem 4 from Unit 1, Lesson 15 Which of these sets of angle measures could be the three angles in a triangle?

Problem 5 from Unit 1, Lesson 14 The diagram shows two intersecting lines.

# Dilation Transformation (Solutions, Examples, Videos)

The diagram shows two nested triangles that share a vertex. If you get stuck, try plotting the points on dilationd paper and drawing the lessson through them with a ruler. More Geometry Lessons Transformation Games In these lessons, we will learn what is dilation or enlargement and reduction?

If so, what is the scale factor? You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics.

Problem 1 Each diagram has a pair of figures, one larger than the other. Use the information to decide if the triangles are similar or not. Are the two triangles similar?

Please submit your feedback or enquiries via our Feedback solvkng. For each pair of points, find the slope of the line that passes through both points.

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. What probem Dilation or Enlargement? Find the measures of the following angles.

These two triangles are similar. Plot the points for each dilation described.

Do you think two equilateral triangles will be similar alwayssometimesor 55-6 For each pair, describe a point and a scale factor to use for a dilation moving the larger triangle to the smaller one. Problem 2 Here are two similar polygons. Explain why they are similar. Measure the longest side of each of the three triangles.

## Unit 2: Practice Problem Sets

Dilation is a transformation in which each point of an object is moved along a straight line. Enlarge triangle PQR oroblem O as the center of enlargement and scale factor. Problem 3 Make a perspective drawing. Problem 3 The figure shows two right triangles, each with its longest side on the same line. Try the given examples, or type in your eolving problem and check your answer with the step-by-step explanations.

Problem 3 Here are three polygons.

# Ch.5, Lesson 6, Objective 2

What do you notice? For each pair, show that the two figures are similar by identifying a sequence of translations, rotations, pesson, and dilations that takes the smaller figure to the larger one.

Label any new points.

Problem 4 These two triangles are similar. Draw an image of the figure PQRS. Problem 3 Here is a triangle.

## Dilation Transformation

Select all that apply. Measure the side lengths and angles of each polygon. It is then called a reduction. Problem 4 dialtions Unit 2, Lesson 4 Here are some line segments.