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9-12 Integrated Math 1 Unit 1 Lesson 11

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K-5 Math 6-8 Math •9-12 Math

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•Integrated Math 1 Integrated Math 2 Integrated Math 3

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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 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18 Lesson 19

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Unit 1, Lesson 11

Defining Reflections

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Integrated Math 1

Practice

Problem 1

Student Task Statement

Which of these constructions would construct a line of reflection that takes the point to point ?

Construct the perpendicular bisector of segment .
Construct the line through perpendicular to segment .
Construct the line passing through and .
Construct a line parallel to line .

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Problem 2

Student Task Statement

A point stays in the same location when it is reflected over line .

What can you conclude about ?

<p>Line L, with endpoints at the bottom left and top right</p>

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Problem 3

Student Task Statement

Lines and are perpendicular with point of intersection .

Noah says that a 180 degree rotation, with center , has the same effect on points in the plane as reflecting over line . Do you agree with Noah? Explain your reasoning.

<p>Perpendicular lines L and M, intersecting at point P. L is horizontal, m is vertical.</p>

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Problem 4

ForLesson 10: Rigid Transformations

Student Task Statement

Here are four original triangles that have each been transformed by a different transformation. Which transformation is not a rigid transformation?

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Problem 5

ForLesson 10: Rigid Transformations

Student Task Statement

There is a sequence of rigid transformations that takes to , to , and to . The same sequence takes to . Draw and label :

<p>Triangles A B C and A prime B prime C prime. Point D is located on side A C.</p>

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Problem 6

ForLesson 9: Speedy Delivery

Student Task Statement

Here are 3 points in the plane. Explain how to determine whether point is closer to point or point .

<p>Three points, point A to the left of point B, point C above both points A and B.</p>

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Problem 7

ForLesson 7: Construction Techniques 5: Squares

Student Task Statement

Diego says a quadrilateral with 4 congruent sides is always a regular polygon. Mai says it never is one. Do you agree with either of them? Explain your reasoning.

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Lesson 11 Resources

Student Materials Student Materials in Spanish