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6-8 Grade 8 Unit 2 Lesson 5

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Unit 2, Lesson 5

More Dilations

Grade 8

Practice

Problem 1

Triangles B and C have been built by dilating Triangle A.

Three triangles, 2 of which are dilations of the first. Please ask for further assistance.

Find the center of dilation.
Triangle B is a dilation of A with approximately what scale factor?
Triangle A is a dilation of B with approximately what scale factor?
Triangle B is a dilation of C with approximately what scale factor?

Problem 2

Here is a triangle.

Draw the dilation of triangle , with center , and scale factor 2. Label this triangle .
Draw the dilation of triangle , with center , and scale factor . Label this triangle .
Is a dilation of triangle ? If yes, what are the center of dilation and the scale factor?

Coordinate plane, x, negative 7 to 8, y, negative 6 to 6. A triangle, A, 4 comma negative 2, B, negative 2 comma negative 2, C, negative 2 comma 2.

Problem 3

Quadrilateral is dilated with center , taking to . Draw .

A quadrilateral, A, negative 2 comma 3, B, 3 comma 1, C, 1 comma negative 1, D, negative 3 comma negative 2. Another point, B prime, 6 comma 2.

Problem 4

ForLesson 15: Adding the Angles in a Triangle

Triangle is a right triangle, and the measure of angle is . What are the measures of the other two angles?