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. | |

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|Complementary Angles | |

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|Supplementary Angles | |

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|Example 1: | |

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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 |

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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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|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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