Navigation

9-12 Integrated Math 2 Unit 1 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

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

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

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 | 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.

Settings

Audience

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 5

Unknown Angles

$Course Icon$

Integrated Math 2

Practice

Problem 1

a. Find the measure of each unknown angle.

b. Name the longest side in triangle \(CDE\). Explain your reasoning.

to access Practice Problem Solutions.

Problem 2

Find the unknown angles and then list the sides of triangle \(AED\) in order from least to greatest.

$\overline{AE}\cong\overline{EB}\cong\overline{AB}$

to access Practice Problem Solutions.

Problem 3

List reasonable angle measures for triangle \(ABC\).

to access Practice Problem Solutions.

Problem 4

from an earlier course

Are triangles \(ABC\) and \(DEF\) congruent? Explain your reasoning.

to access Practice Problem Solutions.

Problem 5

ForLesson 4: Big Angles, Long Sides. Small Angles, Short Sides.

Which side is the shortest in triangle \(ABC\)?
Explain your reasoning.

to access Practice Problem Solutions.

Problem 6

ForLesson 4: Big Angles, Long Sides. Small Angles, Short Sides.

In triangle \(ABC\), \(AB=2.5\), \(BC=5\), and angle \(B\) is obtuse. What does the Triangle Inequality tell you about possible lengths for \(AC\)? What do you know about the length of \(AC\) from the size of its opposite angle? Combine what you know about the length of \(AC\) into an inequality of the form \(\underline{\hspace{.5in}} < AC < \underline{\hspace{.5in}}\).

to access Practice Problem Solutions.

Lesson 5 Resources

Student Materials