4-3 a right angle theorem learner objective: students will apply a right angle theorem as a way of...
TRANSCRIPT
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
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.
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.
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.
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
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.
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.
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.
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
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.