4-3 A Right Angle Theorem Learner Objective: Students will apply a Right Angle Theorem as a way of...

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4-3 A Right Angle Theorem Learner Objective: Students will apply a Right Angle Theorem as a way of proving that two angles are right angles and to solve problems involving right angles. Advanced Geometry

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Page 1: 4-3 A Right Angle Theorem Learner Objective: Students will apply a Right Angle Theorem as a way of proving that two angles are right angles and to solve.

4-3 A Right Angle Theorem

Learner Objective: Students will apply a Right Angle Theorem as a way of proving  that two angles are right angles and to solve problems involving right angles.

Advanced Geometry

Page 2: 4-3 A Right Angle Theorem Learner Objective: Students will apply a Right Angle Theorem as a way of proving that two angles are right angles and to solve.

Learner Objective: Students will apply a Right Angle Theorem as a way of proving  that two angles are right angles and to solve problems involving right angles.

Theorem:

 If two angles are both supplementary and congruent, then they are right angles.

p

m

1 2

Given:

Prove: and

are right angles.

Proof: Since 1 and 2 form a straight angle (line p), they are supplementary (Def. of Supp. Angles). Therefore m 1 + m 2 = 180. Since 1 2, we can use substitution to get the equation m 1 + m 1 = 180, so 2(m 1) = 180 m 1 = 90Thus 1 is a right angle (Def. of rt. angle) and so is 2.

Page 3: 4-3 A Right Angle Theorem Learner Objective: Students will apply a Right Angle Theorem as a way of proving that two angles are right angles and to solve.

Learner Objective: Students will apply a Right Angle Theorem as a way of proving  that two angles are right angles and to solve problems involving right angles.

Page 4: 4-3 A Right Angle Theorem Learner Objective: Students will apply a Right Angle Theorem as a way of proving that two angles are right angles and to solve.

Learner Objective: Students will apply a Right Angle Theorem as a way of proving  that two angles are right angles and to solve problems involving right angles.

Page 5: 4-3 A Right Angle Theorem Learner Objective: Students will apply a Right Angle Theorem as a way of proving that two angles are right angles and to solve.

Learner Objective: Students will apply a Right Angle Theorem as a way of proving  that two angles are right angles and to solve problems involving right angles.

HW Pg. 182

# 1,2,4, 10, 13, 14

Page 6: 4-3 A Right Angle Theorem Learner Objective: Students will apply a Right Angle Theorem as a way of proving that two angles are right angles and to solve.

Learner Objective: Students will apply a Right Angle Theorem as a way of proving  that two angles are right angles and to solve problems involving right angles.

Page 7: 4-3 A Right Angle Theorem Learner Objective: Students will apply a Right Angle Theorem as a way of proving that two angles are right angles and to solve.

Learner Objective: Students will apply a Right Angle Theorem as a way of proving  that two angles are right angles and to solve problems involving right angles.

Page 8: 4-3 A Right Angle Theorem Learner Objective: Students will apply a Right Angle Theorem as a way of proving that two angles are right angles and to solve.

Learner Objective: Students will apply a Right Angle Theorem as a way of proving  that two angles are right angles and to solve problems involving right angles.

Page 9: 4-3 A Right Angle Theorem Learner Objective: Students will apply a Right Angle Theorem as a way of proving that two angles are right angles and to solve.

Learner Objective: Students will apply a Right Angle Theorem as a way of proving  that two angles are right angles and to solve problems involving right angles.

STATEMENTS REASONS

Page 10: 4-3 A Right Angle Theorem Learner Objective: Students will apply a Right Angle Theorem as a way of proving that two angles are right angles and to solve.

Learner Objective: Students will apply a Right Angle Theorem as a way of proving  that two angles are right angles and to solve problems involving right angles.

Page 11: 4-3 A Right Angle Theorem Learner Objective: Students will apply a Right Angle Theorem as a way of proving that two angles are right angles and to solve.

Learner Objective: Students will apply a Right Angle Theorem as a way of proving  that two angles are right angles and to solve problems involving right angles.

Page 12: 4-3 A Right Angle Theorem Learner Objective: Students will apply a Right Angle Theorem as a way of proving that two angles are right angles and to solve.

Learner Objective: Students will apply a Right Angle Theorem as a way of proving  that two angles are right angles and to solve problems involving right angles.

Page 13: 4-3 A Right Angle Theorem Learner Objective: Students will apply a Right Angle Theorem as a way of proving that two angles are right angles and to solve.

Learner Objective: Students will apply a Right Angle Theorem as a way of proving  that two angles are right angles and to solve problems involving right angles.

Page 14: 4-3 A Right Angle Theorem Learner Objective: Students will apply a Right Angle Theorem as a way of proving that two angles are right angles and to solve.

Learner Objective: Students will apply a Right Angle Theorem as a way of proving  that two angles are right angles and to solve problems involving right angles.

Page 15: 4-3 A Right Angle Theorem Learner Objective: Students will apply a Right Angle Theorem as a way of proving that two angles are right angles and to solve.

Learner Objective: Students will apply a Right Angle Theorem as a way of proving  that two angles are right angles and to solve problems involving right angles.

Page 16: 4-3 A Right Angle Theorem Learner Objective: Students will apply a Right Angle Theorem as a way of proving that two angles are right angles and to solve.

Learner Objective: Students will apply a Right Angle Theorem as a way of proving  that two angles are right angles and to solve problems involving right angles.

Page 17: 4-3 A Right Angle Theorem Learner Objective: Students will apply a Right Angle Theorem as a way of proving that two angles are right angles and to solve.

Learner Objective: Students will apply a Right Angle Theorem as a way of proving  that two angles are right angles and to solve problems involving right angles.

Page 18: 4-3 A Right Angle Theorem Learner Objective: Students will apply a Right Angle Theorem as a way of proving that two angles are right angles and to solve.

Learner Objective: Students will apply a Right Angle Theorem as a way of proving  that two angles are right angles and to solve problems involving right angles.

Page 19: 4-3 A Right Angle Theorem Learner Objective: Students will apply a Right Angle Theorem as a way of proving that two angles are right angles and to solve.

Learner Objective: Students will apply a Right Angle Theorem as a way of proving  that two angles are right angles and to solve problems involving right angles.

Page 20: 4-3 A Right Angle Theorem Learner Objective: Students will apply a Right Angle Theorem as a way of proving that two angles are right angles and to solve.

Learner Objective: Students will apply a Right Angle Theorem as a way of proving  that two angles are right angles and to solve problems involving right angles.

Page 21: 4-3 A Right Angle Theorem Learner Objective: Students will apply a Right Angle Theorem as a way of proving that two angles are right angles and to solve.

Learner Objective: Students will apply a Right Angle Theorem as a way of proving  that two angles are right angles and to solve problems involving right angles.

Page 22: 4-3 A Right Angle Theorem Learner Objective: Students will apply a Right Angle Theorem as a way of proving that two angles are right angles and to solve.

Learner Objective: Students will apply a Right Angle Theorem as a way of proving  that two angles are right angles and to solve problems involving right angles.

Page 23: 4-3 A Right Angle Theorem Learner Objective: Students will apply a Right Angle Theorem as a way of proving that two angles are right angles and to solve.

Learner Objective: Students will apply a Right Angle Theorem as a way of proving  that two angles are right angles and to solve problems involving right angles.


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