Use right angle congruence

1
EXAMPLE 1
Use right angle congruence
Write a proof.
2
EXAMPLE 2
Prove a case of Congruent Supplements Theorem
3
EXAMPLE 2
Prove a case of Congruent Supplements Theorem
4
for Examples 1 and 2
GUIDED PRACTICE
1. How many steps do you save in the proof in
Example 1 by using the Right Angles Congruence
Theorem?
2. Draw a diagram and write GIVEN and PROVE
statements for a proof of each case of the
Congruent Complements Theorem.
5
for Examples 1 and 2
GUIDED PRACTICE
6
for Examples 1 and 2
GUIDED PRACTICE
7
EXAMPLE 3
Prove the Vertical Angles Congruence Theorem
8
EXAMPLE 3
Prove the Vertical Angles Congruence Theorem
9
for Example 3
GUIDED PRACTICE
10
for Example 3
GUIDED PRACTICE
11
for Example 3
GUIDED PRACTICE
6. Which previously proven theorem is used in
Example 3 as a reason?
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EXAMPLE 4
Standardized Test Practice
SOLUTION
13
for Example 4
GUIDED PRACTICE
Use the diagram in Example 4.
7. Solve for x.
14
for Example 4
GUIDED PRACTICE
Use the diagram in Example 4.
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Daily Homework Quiz
1
5
GIVEN
1
PROVE
is supplementary to 4
Statements (Reasons)
1.
1
5
2.
m 1 m 5
3.
4 and are a linear pair.
5
16
Daily Homework Quiz
4 and are supplementary .
4.
5
5.
m 4 m 5 180
m 4 m 1 180
6.
7.
1 is supplementary to 4.