Download presentation
Presentation is loading. Please wait.
Published byPhillip Davis Modified over 5 years ago
1
Learner Objective: Students will draw valid conclusions and will prove angles congruent using
congruent complement and supplement theorems. Opener: Given: If two of the non-straight angles
are selected at random, find the
probability that the angles are: Answer 1. Supplementary 7/36 Answer 2. Complementary 1/9 Answer 3. Congruent 5/36
3
Advanced Geometry Section 2.3 / 4 Drawing Conclusions / Congruent Supplements and
Complements Learner Objective: Students will draw valid conclusions and will prove
angles congruent using congruent complement and supplement
theorems.
4
Procedure for Drawing Conclusions
Learner Objective: Students will draw valid conclusions and will prove angles congruent using congruent complement and supplement theorems. Procedure for Drawing Conclusions 1. Memorize theorems, definitions, and postulates. 2. Look for key words and symbols in the given information. 3. Think of all the theorems, definitions, and postulates that involve
those keys. 4. Decide which theorem, definition, or postulate allows you to
draw a conclusion. 5. Draw a conclusion, and give a reason to justify the conclusion.
Be certain that you have not used the reverse of the correct
reason.
5
Learner Objective: Students will draw valid conclusions and will prove angles congruent using
congruent complement and supplement theorems.
7
If angles are complementary to the same angle,
Learner Objective: Students will draw valid conclusions and will prove angles congruent using congruent complement and supplement theorems. If angles are complementary to the same
angle, then they are congruent. Given: complementary to 2 3 complementary to 2 Proof: Since Complementary to 2 and 3 Complementary to 2, = 90 and = 90 Then = and = Then = So = 3 Therefore, ≅ 3 Prove: ≅ 3 1 2 3
8
If angles are complementary to congruent angles,
Learner Objective: Students will draw valid conclusions and will prove angles congruent using congruent complement and supplement theorems. If angles are complementary to congruent
angles, then they are congruent. Given: 1 Complementary to 2 3 Complementary to 4 1 ≅ 3 Proof: Since Complementary to 2 and 3 Complementary to 4, Prove: 2 ≅ 4 = 90 and = 90 A B C D 1 2 E F G H 3 4 Then = and = Since ≅ 3 = So = 4 Therefore, ≅ 4
9
If angles are supplementary to the same angle,
Learner Objective: Students will draw valid conclusions and will prove angles congruent using congruent complement and supplement theorems. If angles are supplementary to the same
angle, then they are congruent. Given: supplementary to 2 3 supplementary to 2 Proof: Since 1 supplementary to 2 and 3 supplementary to 2 Prove: ≅ 3 A B C D E 1 2 3 = and = 180 Then = and = Thus = So = 3 Therefore, ≅ 3
10
If angles are supplementary to congruent angles,
Learner Objective: Students will draw valid conclusions and will prove angles congruent using congruent complement and supplement theorems. If angles are supplementary to congruent
angles, then they are congruent. Given: supplementary to 2 3 supplementary to 4 1≅ 3 Proof: Since supplementary to 2 and supplementary to 4 = and = 180 Then = and = Since 1≅ 3, = So = 4 Therefore, ≅ 4 2 1 3 4 A B C D E F G H Prove: ≅ 4
11
Learner Objective: Students will draw valid conclusions and will prove angles congruent using
congruent complement and supplement theorems.
12
Learner Objective: Students will draw valid conclusions and will prove angles congruent using
congruent complement and supplement theorems.
13
Learner Objective: Students will draw valid conclusions and will prove angles congruent using
congruent complement and supplement theorems.
14
Learner Objective: Students will draw valid conclusions and will prove angles congruent using
congruent complement and supplement theorems. Statement Reason
15
Learner Objective: Students will draw valid conclusions and will prove angles congruent using
congruent complement and supplement theorems. Statement Reason
16
Learner Objective: Students will draw valid conclusions and will prove angles congruent using
congruent complement and supplement theorems. Statement Reason
17
Learner Objective: Students will draw valid conclusions and will prove angles congruent using
congruent complement and supplement theorems. Statement Reason
18
Learner Objective: Students will draw valid conclusions and will prove angles congruent using
congruent complement and supplement theorems. Assignment 2.4: Pg. 79 #1-8, 10, 11
19
Learner Objective: Students will draw valid conclusions and will prove angles congruent using
congruent complement and supplement theorems.
20
Learner Objective: Students will draw valid conclusions and will prove angles congruent using
congruent complement and supplement theorems.
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.