Kenwood Academy High School
Name Period Date
Topic: Introduction to Geometry/Tools of Geometry (PA) Section 1.5 – Packet
|CRS |Level |Description |
|Review (13-19) | | |
|PPF: Exhibit some knowledge of the angles associated | | |
|with parallel lines | | |
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|Focus (20-23) | | |
|PPF: Find the measure of an angle using properties of| | |
|parallel lines | | |
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|PPF: Exhibit knowledge of basic angle properties and | | |
|special sums of angle measures | | |
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|Extension (24-27) | | |
|PPF: Use several angle properties to find an unknown | | |
|angle measure | | |
| |Level 1 |1. Name and Identify vertical and adjacent angle pairs. |
| | |2. Name and Identify complementary and supplementary angle pairs. |
| |Level 2 |3. Use relationships of vertical and adjacent angles to solve Algebra problems. |
| | |4.Use measures of complementary and supplementary angles to solve Algebra problems |
|CCSS |Level 3 |5. Identify perpendicular lines and solve related algebra problems |
|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.12 Make formal geometric constructions with a | | |
|variety of tools and methods (compass and | | |
|straightedge…copying an angle…bisecting an angle…) | | |
| |Level 4 |5. Interpret figures and draw conclusions |
|Instructions: |
|Read pages 37-39. |
|Fill in the definitions on the next page |
|Complete the examples |
|Do Assignment 1.5 Level 1 “Angle Pair Relationship” Worksheet |
|Level 1: |Practice |
|Define the following: | |
|Angle Pair |Assignment 1.4 Level 1 |
|Definition |Part 1 |
|Examples |Angle Pair Relationship |
|Non-examples |Worksheet |
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|Adjacent Angles |Assignment 1.4 Level 1 |
| |Part 2 |
| |Page 42, #11,12,13,15, |
| |16, 23-25 |
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|Linear Pairs | |
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|Linear Pairs Fact | |
|If 2 angles for linear pairs, then they add up to 180( | |
|[pic],[pic],[pic],[pic] | |
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|Vertical Angles | |
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|Vertical Angle Fact | |
|If 2 angles are vertical angles, then they are congruent. | |
|[pic],[pic],[pic],[pic] | |
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|Complementary Angles | |
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|Supplementary Angles | |
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|Example 1: | |
|[pic] | |
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|Example 2: | |
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|Example 3: | |
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|Example 4: | |
|Find the missing angle measures. | |
|2. 3. 4. | |
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|One angle of a pair of complementary angles is given. What is the measurement of the other angle? | |
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|5. 45° ________ 6. 82° ________ 7. 23° _________ | |
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|One angle of a pair of supplementary angles is given. What is the measurement of the other angle? | |
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|8. 173° ________ 9. 75° ________ 10. 92° _________ | |
|Level 2: |Assignment 1.5 Level 4 |
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|Find x, m(PQS, and m(SQR. |Angle Relationships |
| |Worksheet |
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| |Page 42 |
| |#18-22,28-30 |
|[pic] | |
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|Level 3 |Assignment 1.5 Level 3 |
|-Define perpendicular lines: | |
| |Page 42 #26,27, 37,43 |
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| |Geometry Word Problems |
|-Compare complementary angles and perpendicular pairs |Worksheet |
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|[pic] [pic] | |
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|Level 4 | |
|Determine whether each statement can be assumed from the figure. Explain. | |
|. [pic][pic] |Assignment 1.5 Level 4 |
| |Page 41 #8, 9, 31-35, 39|
|[pic] | |
|Pg 42 | |
|39-41 | |
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