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6-8 Grade 8 Unit 2 Lesson 2

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K-5 Math •6-8 Math 9-12 Math

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Grade 6 Grade 7 •Grade 8

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Unit 1 •Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9

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Lesson 1 •Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13

K-5
6-8
9-12

Grade 6
Grade 7
Grade 8

Accelerated 6
Accelerated 7

Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8
Unit 9

Lesson 1
Lesson 2
Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Lesson 12
Lesson 13

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Curriculum

IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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Unit 2, Lesson 2

Circular Grid

Grade 8

Practice

Problem 1

Student Task Statement

Here are Circles and . Point is the center of dilation, and the dilation takes Circle to Circle .

Dilation

Plot a point on Circle . Label the point . Plot where goes when the dilation is applied and label the point .
Plot a point on Circle . Label the point . Plot the point that the dilation takes to and label it .

Lesson 2 Resources

Student Materials Student Materials in Spanish

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Problem 2

Student Task Statement

Here is triangle .

Triangle A B C and point P on a circular grid. The coordinates of triangle A B C are A(negative 2 comma 2), B(negative 4 comma negative 1) and C(3 comma negative 1) and of point P at P(0 comma 0).

Dilate each vertex of triangle using as the center of dilation and a scale factor of 2. Draw the triangle connecting the 3 new points.
Dilate each vertex of triangle using as the center of dilation and a scale factor of . Draw the triangle connecting the 3 new points.
Measure the longest side of each of the 3 triangles. What do you notice?
Measure the angles of each triangle. What do you notice?

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Problem 3

ForLesson 12: Congruent Polygons

Student Task Statement

Describe a sequence of translations, rotations, or reflections that show the triangles are congruent.

Triangles A B C and D E F.

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Problem 4

ForLesson 15: Adding the Angles in a Triangle

Student Task Statement

The line has been partitioned into 3 angles.

A straight line with two rays coming out of a single point.

Is there a triangle with these 3 angle measures? Explain.

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