Name
Period
Date
Topic: Unit 3 Angle Relationships/ Parallel Lines and perpendicular Lines (PA) #1
CRS
PPF (13-23): Exhibit some knowledge of the angles
associated with parallel lines,
Exhibit knowledge of basic angle properties and special sums of
angle measures (e.g., 90°, 180°, and 360°)
PPF (24-27)
PPF: Use several angle properties to find an unknown
angle measure
EEI (28-32)
EEI: Manipulate expressions and equations. Write expressions,
equations, and inequalities for common algebra settings
CCSS
G-CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment,
based on the undefined notions of point, line, distance along a line, and distance around a circular
arc
G-CO.9 Prove theorems about lines and angles. Theorems include: vertical angles are congruent;
when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding
angles are congruent; points on a perpendicular bisector of a line segment are exactly those
equidistant from the segment’s endpoints.
G-CO.10 Prove theorems about triangles. Theorems include: measures of interior angles of a
triangle sum to 180°; based angles of isosceles triangles are congruent; the segment joining
midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a
triangle meet at a point.
G-CO.12 Make formal geometric constructions with a variety of tools and methods (compass and
straightedge…copying an angle…bisecting an angle…)
Section1.5 Level One Objectives
 Name and Identify vertical and adjacent angle pairs.
 Name and Identify complementary and supplementary angle pairs.
Key Concepts
Definition
Examples
Adjacent Angles
Non-Examples
Vertical Angles
Complementary Angles
1
Supplementary Angles
Linear pairs
 Perpendicular Line Properties:
1. Perpendicular lines intersect to form 4 right angles.
2.
3.
4.  is the symbol for perpendicular
Determine whether each statement can be assumed
from the figure.
Explain
2
 Level One Assignment
(1)pg 42 11-16
(2) Angle Pair Relationships Practice Worksheet #1-19 all, 25-38 all
Section 2.8 Level Two Objectives
 Name and Identify complementary and supplementary angle pairs.
Supplementary and Complementary Angles
there are two basic postulates for working with angles. The
Protractor Postulate assigns numbers to angle measures, and the Angle Addition Postulate relates parts of an angle to
the whole angle. Include examples with the Postulates and Theorems
Protractor Postulate
Angle Addition Postulate
 The two postulates can be used to prove the following two theorems
Supplement Theorem
Complement Theorem
3
Find the measure of each numbered angle
1.
2.
3.
4.
Determine whether the following statements are always, sometimes, or never true.
If the measure of ∠1 is 60⁰ and the measure of ∠2 is
(7y + 4)⁰, find the measure of the two angles.
Two angles are supplementary. If the larger angle is 6
more than 5 times the smaller angle, what are the angle
measures?
4
 Right Angle Properties:
3. Perpendicular lines intersect to form 4 right angles.
4. All right angles are congruent.
5. Perpendicular lines form congruent adjacent angles.
6. If two angles are congruent and supplementary, then each angle is a right angle
7. If two congruent angles form a linear pair, then they are right angles.
Examples: Draw an Example of #1-5 below.
1.
4.
2.
3.
5.
 Level Two Assignment
(1)pg 112 #16-32 all
(2) Angle Pair Relationships Practice Worksheet #20-24 all, 39,40
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Section 1.5 Level Three Objectives
 Use relationships of vertical and adjacent angles to solve Algebra problems.
 Use measures of complementary and supplementary angles to solve Algebra problems
Find x, mPQS, and mSQR.
If m∠BGC = 2x - 5 and m∠CGD = 4x - 13, find x so that
m∠ BGD is a right angle
The measure of the supplement of an angle is 36 degrees less than the measure of the other angle. Find the measures of
the angles.
 Level Three Practice pg 42 17-22, 27-30, 41-43
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Section 1.5 Level Four Objectives
 Students will be able to apply properties of supplementary, complementary, vertical and right angles.
 Students will be able to solve multi-step Geometry problems based on given information.
Angle Congruence Properties:
Reflexive Property: Angle 1 is congruent to angle 1.
Symbols:
Symmetric Property: If Angle 1 is congruent to angle 2, then angle 2 is congruent to angle 1.
Symbols:
Transitive Property: If angle 1 is congruent to angle 2, and angle 2 is congruent to angle 3, then angle 1 is congruent to
angle 3.
Symbols:
Theorems
Justify,
Justify,
 Level Four Practice pg 111 1, 8, 9, 25, 26
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