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9-12 Geometry Unit 3 Lesson 12

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K-5 Math 6-8 Math •9-12 Math

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Algebra 1 •Geometry Algebra 2 Extra Support Materials for Algebra 1

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

Modeling Prompts

Lesson

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 Lesson 14 Lesson 15 Lesson 16 Lesson 17

K-5
6-8
9-12

Algebra 1
Geometry
Algebra 2
Extra Support Materials for Algebra 1

Integrated Math 1
Integrated Math 2
Integrated Math 3

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

Modeling Prompts

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Lesson 2
Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Lesson 12
Lesson 13
Lesson 14
Lesson 15
Lesson 16
Lesson 17

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Unit 3, Lesson 12

Practice with Proportional Relationships (Optional)

Geometry

Practice

Problem 1

Student Task Statement

Quadrilateral is similar to quadrilateral . Select all statements that must be true.

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Problem 2

Student Task Statement

Lines and are both vertical. What is the length of ?

Line A B is horizontal and has 3 points, A, B and D. Lines B C and D E are vertical. Line A C goes through C on B C and E on D E. A B is 2, B C is 3 and D E is 4.

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Problem 3

Student Task Statement

The quilt is made of squares with diagonals. Side length is 2.

What is the length of ?
What is the area of triangle ?

<p>Square A B C D.</p>

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Problem 4

ForLesson 11: Splitting Triangle Sides with Dilation (Part 2)

Student Task Statement

Segment is parallel to segment . What is the length of segment ?

<p>Triangle A B C.</p>

3.5
4
10
10.5

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Problem 5

ForLesson 11: Splitting Triangle Sides with Dilation (Part 2)

Student Task Statement

Elena thinks length is 16.5 units. Lin thinks the length of is 17.1 units. Do you agree with either of them? Explain or show your reasoning.

<p>Triangle A B C has segment D E, with D on A B and E on A C. A D is 4, D B is 2, A E is 9 and E C is 5 and D E is 11.</p>

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Problem 6

ForLesson 10: Other Conditions for Triangle Similarity

Student Task Statement

Mai thinks that knowing the measures of 2 sides is enough to show triangle similarity. Do you agree? Explain or show your reasoning.

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Problem 7

ForLesson 4: Dilating Lines and Angles

Student Task Statement

Line is dilated with a center of dilation at . The image is line . Approximate the scale factor.

<p>Parallel lines f and g. Line g is above and to the left of line f. Point C on line F. Point B on line g. Point A above and to the left of line G. Point D below and to the right of line f.<br>
</p>

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Lesson 12 Resources

Student Materials