Lesson | Practice | Loading...

Sign in to access protected content and invite other educators

Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.

Curriculum

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

Professional Learning

Illustrative Mathematics® has operated as an independent 501(c)3 non-profit organization since 2013.

©2024 Illustrative Mathematics®. Licensed under CC BY-NC 4.0.

The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written permission of Illustrative Mathematics.

This site includes public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses. See the image attribution section for more information.

Navigation

9-12 Integrated Math 1 Unit 1 Lesson 10

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 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18 Lesson 19

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
Lesson 12
Lesson 13
Lesson 14
Lesson 15
Lesson 16
Lesson 17
Lesson 18
Lesson 19

Settings

Audience

family

Not all roles available for this page.

Assessment Access

Sign in to view assessments and invite other educators

Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.

teacher
student
family

Unit 1, Lesson 10

Rigid Transformations

$Course Icon$

Integrated Math 1

Practice

Problem 1
Student Task Statement
Here are 4 triangles that have each been transformed by a different transformation. Which transformation is not a rigid transformation?

A

B

C

D

A
B
C
D

to access Practice Problem Solutions.

Problem 2

Student Task Statement

What is the definition of congruence?

If two figures have the same shape, then they are congruent.
If two figures have the same area, then they are congruent.
If there is a sequence of transformations taking one figure to another, then they are congruent.
If there is a sequence of rotations, reflections, and translations that take one figure to the other, then they are congruent.

to access Practice Problem Solutions.

Problem 3

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 B C.</p>

to access Practice Problem Solutions.

Problem 4

ForLesson 9: Speedy Delivery

Student Task Statement

Three schools are located at points , , and . The school district wants to build its new stadium at a location that will be roughly the same distance from all 3 schools. Where should they build the stadium? Explain or show your reasoning.

<p>A square with 3 points inside. Point A is in the upper left. Point B is in the bottom left. Point C is near the middle right.</p>

to access Practice Problem Solutions.

Problem 5

ForLesson 6: Construction Techniques 4: Parallel and Perpendicular Lines

Student Task Statement

To construct a line passing through point that is parallel to the line , Han constructed the perpendicular bisector of and then drew line .

<p>Overlapping circles with centers A and B. Vertical line through intersection points. 1 intersection point labeled D. Horizontal line through AB and horizontal line through D with point C on it.</p>

Is guaranteed to be parallel to ? Explain how you know.

to access Practice Problem Solutions.

Problem 6

ForLesson 5: Construction Techniques 3: Perpendicular Lines and Angle Bisectors

Student Task Statement

This diagram is a straightedge and compass construction of a line perpendicular to line passing through point . Select all the statements that must be true.

<p>Three circles.</p>

to access Practice Problem Solutions.

Lesson 10 Resources

Student Materials Student Materials in Spanish