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6-8 Grade 8 Unit 2 Lesson 3

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IM K-5 Math
IM 6-8 Math
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Unit 2, Lesson 3

Dilations with No Grid

Grade 8

Practice

Problem 1

Student Task Statement

Segment measures 3 cm. Point is the center of dilation. How long is the image of after a dilation with:

Scale factor 5?
Scale factor 3.7?
Scale factor ?
Scale factor ?

Lesson 3 Resources

Student Materials Student Materials in Spanish

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Problem 2

Student Task Statement

Here are points and . Plot the points for each dilation described.

Points A and B

is the image of using as the center of dilation and a scale factor of 2.
is the image of using as the center of dilation and a scale factor of 2.
is the image of using as the center of dilation and a scale factor of .
is the image of using as the center of dilation and a scale factor of .

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Problem 3

Student Task Statement

Make a perspective drawing. Include in your work the center of dilation, the shape you dilate, and the scale factor you use.

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Problem 4

ForLesson 1: Projecting and Scaling

Student Task Statement

Triangle and triangle are scaled copies. Side measures 12 cm and is the longest side of . Side measures 8 cm and is the longest side of .

Triangle is a scaled copy of triangle with what scale factor?
Triangle is a scaled copy of triangle with what scale factor?

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Problem 5

ForLesson 14: Alternate Interior Angles

Student Task Statement

The diagram shows two intersecting lines.

Find the missing angle measures.

Two intersecting lines, forming an X.

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Problem 6

ForLesson 12: Congruent Polygons

Student Task Statement

Here are 2 triangles.

Two triangles in an x y plane.

Show that the 2 triangles are congruent.
Find the side lengths of triangle and the angle measures of triangle .

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