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9-12 Integrated Math 1 Unit 2 Lesson 3

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•Integrated Math 1 Integrated Math 2 Integrated Math 3

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Unit 2, Lesson 3

Congruent Triangles, Part 1

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Integrated Math 1

Practice

Problem 1

Student Task Statement

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

<p>Congruent triangles ABC and EFG.</p>

Select all true statements after the transformations:

Angle coincides with angle .
Angle coincides with angle .
Segment coincides with segment .
Segment coincides with segment .
Segment coincides with segment .

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Problem 2

Student Task Statement

A rotation by angle using point as the center takes triangle onto triangle .

<p>Triangle CBA and CDE.</p>

Explain why the image of ray lines up with ray .
Explain why the image of coincides with .
Is triangle congruent to triangle ? Explain your reasoning.

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Problem 3

Student Task Statement

The triangles are congruent. Which sequence of rigid motions will take triangle onto triangle ?

<p>Triangle ABC and ZXY.</p>

Translate using directed line segment . Rotate using as the center so that coincides with . Reflect across line .

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Problem 4

ForLesson 2: Congruent Parts, Part 2

Student Task Statement

Triangle is the image of triangle after a 180-degree rotation around point . Select all statements that must be true.

<p>Triangle HEF is the image of triangle FGH after a 180 degree rotation about point K.</p>

Triangle is congruent to triangle .

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Problem 5

ForLesson 2: Congruent Parts, Part 2

Student Task Statement

Line is a line of symmetry for figure . Tyler says that is congruent to because sides and are corresponding.

<p>Line SD is a line of symmetry for figure ASMHZDPX.</p>

Why is Tyler's congruence statement incorrect?
Write a correct congruence statement for the pentagons.

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Problem 6

ForLesson 1: Congruent Parts, Part 1

Student Task Statement

Triangle is congruent to triangle . Select all the statements that are a result of corresponding parts of congruent triangles being congruent.

<p>Two congruent triangles labeled A B C and D E F.</p>

Segment is congruent to segment .

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Problem 7

ForLesson 1: Congruent Parts, Part 1

Student Task Statement

When triangle is reflected across line , the image is triangle . Why is angle congruent to angle ?

<p>Triangle ACD with altitude AB.</p>

Corresponding parts of congruent figures are congruent.
Congruent parts of congruent figures are corresponding.
Segment is a perpendicular bisector of segment .

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Lesson 3 Resources

Student Materials Student Materials in Spanish

Translate using directed line segment . Rotate using as the center so that coincides with . Reflect across line .

Translate using directed line segment . Rotate using as the center so that coincides with . Reflect across line .

Translate using directed line segment . Rotate using as the center so that coincides with . Reflect across line .

Triangle is congruent to triangle .

Angle is congruent to angle .

Angle is congruent to angle .

Segment is congruent to segment .

Segment is congruent to segment .

Segment is congruent to segment .

Segment is congruent to segment .

Angle is congruent to angle .

Angle is congruent to angle .

Angle is congruent to angle .

An isosceles triangle has a pair of congruent angles.