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9-12 Integrated Math 1 Unit 2 Lesson 5

Gradeband

K-5 Math 6-8 Math •9-12 Math

Course

•Integrated Math 1 Integrated Math 2 Integrated Math 3

Unit

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

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

K-5
6-8
9-12

Integrated Math 1
Integrated Math 2
Integrated Math 3

Algebra 1
Geometry
Algebra 2
Extra Support Materials for Algebra 1

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

Modeling Prompts

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

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Unit 2, Lesson 5

Points, Segments, and Zigzags

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Integrated Math 1

Practice

Problem 1
Student Task Statement

Write a sequence of rigid motions to take figure to figure .

Two figures, A B C and D E F, each composed of two line segments that share an endpoint . A B slants upward and to the left and B C slants upward and to the right. Figure D E F is below and to the right of figure A B C. D E slants upward and to the left and E F slants upward and slightly to the left. B C and E F have one tick mark. A B and D E have two tick marks. Angles B and E marked equal.

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Problem 2

Student Task Statement

Prove the circle centered at is congruent to the circle centered at .

<p>Two circles. First circle, center A, with point B on circle. Radius A B drawn. Second circle, center C, with point D on circle. Radius C D drawn. A B and C D have one tick mark showing congruence.</p>

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Problem 3

Student Task Statement

Which conjecture is possible to prove?

All quadrilaterals with at least one side length of 3 are congruent.
All rectangles with at least one side length of 3 are congruent.
All rhombuses with at least one side length of 3 are congruent.
All squares with at least one side length of 3 are congruent.

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Problem 4

ForLesson 4: Congruent Triangles, Part 2

Student Task Statement

Match each statement using only the information shown in the pairs of congruent triangles.

The 2 sides and the included angle of one triangle are congruent to 2 sides and the included angle of another triangle.
The 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle.
In the two triangles, there are 3 pairs of congruent sides.

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Problem 5

ForLesson 2: Congruent Parts, Part 2

Student Task Statement

Triangle is the image of triangle after a reflection across line . Write a congruence statement for the two congruent triangles.

<p>Triangle H E F is the image of triangle H G F.</p>

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Problem 6

ForLesson 3: Congruent Triangles, Part 1

Student Task Statement

Triangle is congruent to triangle . So Lin knows that there is a sequence of rigid motions that takes to .

Select all true statements after the transformations:

<p>Triangle ABC is congruent to triangle EDF.</p>

Angle coincides with angle .

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Problem 7

ForLesson 19: Now What Can You Build?

Student Task Statement

This design began from the construction of a regular hexagon. Is quadrilateral congruent to the other two quadrilaterals? Explain how you know.

<p>2 Hexagons and quadrilaterals.</p>

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Lesson 5 Resources

Student Materials

Angle coincides with angle .

Angle coincides with angle .

Segment coincides with segment .

Segment coincides with segment .