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Objectives: -Identify and use the Parallel Postulate and the Triangle Sum Theorem Warm-Up: Position one letter in each of the five openings. Do this in.

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Presentation on theme: "Objectives: -Identify and use the Parallel Postulate and the Triangle Sum Theorem Warm-Up: Position one letter in each of the five openings. Do this in."— Presentation transcript:

1 Objectives: -Identify and use the Parallel Postulate and the Triangle Sum Theorem Warm-Up: Position one letter in each of the five openings. Do this in such a manner that three numbers are spelled out that total thirteen. Words may be written clockwise and counterclockwise, and individual letters may be shared.

2 The Parallel Postulate: Given a line and a point not on the line, there is one and only one line that contains the given point and is parallel to the given line.

3 The Triangle Sum Theorem:

4 Exterior Angle Theorem:

5 Example: Two angle measures are given. Find the missing angle measure or state that the triangle does not exist.

6 Example: A D B E F C

7 Find the indicated angle measure. 1 2 3

8 Example: Find x and the measure of each angle. C A B

9 Example: Find x and the measure of each angle. C A B

10 Example: Find x and the measure of each angle. C A B

11 Example: Refer to the diagram below to complete the table. 2 3 14

12 Objectives: -Identify and use Triangle Sum Theorem with algebraic scenarios that require factoring. Warm-Up: Travel through this maze totaling exactly 100 points. No passage or intersection may be used more than once. Enter and exit the maze at the designated arrows.

13 Factoring / Zero Product Property Review:

14

15 Example: Find x and the measure of each angle. Z W Y

16 Example: Find x and the measure of each angle. C A B

17 Example: Find x and the measure of each angle. F D E

18 Example: Find x and the measure of each angle. C A B

19 Example: Find x and the measure of each angle. F D E


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