Name _________________________________________
Hour _________
Chapter 3: Angles and Triangles
STUDY GUIDE & HOMEWORK PACKET
Enduring Understandings (Know these concepts to do well on the test!)
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Two angles are complementary angles when the sum of their measures is 90 degrees.
Two angles are supplementary angles when the sum of their measures is 180 degrees.
Parallel lines that are cut by a transversal produce several pairs of congruent angles with
special names.
All triangles have an interior angle measurement of 180 degrees.
All quadrilaterals have an interior angle measurement of 360 degrees.
Vocabulary (Make flash cards)
Transversal
Interior angles
Exterior angles
Interior angles of a
polygon
Exterior angles of a
polygon
Convex polygon
Concave polygon
Regular polygon
Indirect measurement
Equations & Key Ideas (Make flash cards)
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The sum of the interior angle measures of a triangle is 180 degrees 𝑥 + 𝑦 + 𝑧 = 180
The measure of the exterior angle of a triangle is equal to the sum of the measures of the
two nonadjacent interior angles 𝑧 = 𝑥 + 𝑦 (page 112 for picture)
The sum S of the interior angle measures of a polygon with n sides is: 𝑆 = (𝑛 − 2) ∙ 180°
The sum of the measures of the exterior angles of a convex polygon is 360 degrees
Our math book
Engage New York: 8th grade math
https://www.engageny.org/resource/grade-8-mathematics-module-1
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Module 2: The concept of congruence
Module 3: Similarity
Supplementary Resources:
Big Ideas: www.bigideasmath.com
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Click on the blue bar that says "Looking for Easy Access Materials?"
In the upper right hand corner, click "Students"
Scroll to the bottom of the page to EASY ACCESS HOME EDITION and find "Choose Program
for Access". Make sure you have "Common Core 2014" chosen, and then click "GO"
Click the regular pathways blue edition Big Ideas Math book (BLUE with airplane on the
cover)
o Go to chapter 3: ANGLES AND TRIANGLES
Other Websites for help:
Khan Academy: www.khanacademy.org and search for:
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Transversals
Angles formed by parallel lines and transversals
Adjacent angles
Corresponding angles
Alternate interior angles
Alternate exterior angles
Interior and exterior angles
Angles of a polygon
Similar triangles
Learn Zillion: www.learnzillion.com and type this (the standard numbers that we are working on)
into the search bar and search for VIDEOS
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8.G.5 (There are a lot of lessons and videos available for this standard!)
Practice:
(Complete these practice problems and understand the objectives to do well on the test!)
45 minutes of homework at home. If you have WORKED for 45 minutes at home and have not
finished your homework, please have your parents sign your homework with a short note saying
you worked, and it will be counted as COMPLETE for 5 points.
Lesson
started on
Homework
due on
Lesson
Objective
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Lesson 3.1:
Parallel Lines and
Transversals
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Lesson 3.2:
Angles of Triangles
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Identify the angles formed when parallel
lines are cut by a transversal
Find the measures of angles formed
when parallel lines are cut by a
transversal
Understand that the sum of the interior
angle measures of a triangle is 180°
Find the measures of interior and
exterior angles of triangles
Homework
Day 1: page 107
#3-11, 15-17
Day 2: page 108
#18-24, 27-28, 3135
Page 114 #4-9, 1114, 23-26
Quiz over lessons 3.1 and 3.2
Work on page 117 all questions to prepare for the quiz
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Lesson 3.3:
Angles of Polygons
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Lesson 3.4: Using
Similar Triangles
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Find the sum of the interior angle
measures of polygons
Understand that the sum of the exterior
angle measures of a polygon is 360°
Find the measures of interior and
exterior angles of polygons
Understand the concept of similar
triangles
Identify similar triangles
Use indirect measurement to find
missing measures
Review Day. Work on pages 132-136 to prepare for the chapter test
Chapter 3 Test: No notes, yes calculators
Day 1: page 123
#4-10, 12-14
Day 2: page 124
#16-19, 22-28, 3438
Page 130 #6-13,
19-22