3. Mr. Garber & Ms. Hain Practice: Prove Theorems about Parallel Lines Statements 1) Lines p and q are parallel 2) mz1 110° 3) 22 슬 21 Reasons Given Given Corresponding Angles Theorem - -- 4) mz2 = 110° Substitution 9) What Theorem would you use to prove that 23 42? 10) If mz1= mz2 and mz2 =mz3, then which Theorem would be the reason that mz1 = mz3? 11) What line(s) would you add to Statement the proof above to prove that Reason 5) 5) mz3 = 110°? %3D 6) 6) 12) Proof: The Alternate Exterior Angles Theorem At Prove that if two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are 2, d. congruent. [Use the diagram on the right ] b. Statement Reason Use the list (The list is out of order) 1) p || q (p is parallel to q) Vertical Angles are Congruent 1) 2) 1 2 Transitive Property 2) 3)22 3 Given 3) 4) 21 스 23 Corresponding Angles Theorem () Wrap Up; Daily Checklist DI correctly answered what is given and what is to be proven OI was able to follow each step of at least one proof OI worked well with my partner
3. Mr. Garber & Ms. Hain Practice: Prove Theorems about Parallel Lines Statements 1) Lines p and q are parallel 2) mz1 110° 3) 22 슬 21 Reasons Given Given Corresponding Angles Theorem - -- 4) mz2 = 110° Substitution 9) What Theorem would you use to prove that 23 42? 10) If mz1= mz2 and mz2 =mz3, then which Theorem would be the reason that mz1 = mz3? 11) What line(s) would you add to Statement the proof above to prove that Reason 5) 5) mz3 = 110°? %3D 6) 6) 12) Proof: The Alternate Exterior Angles Theorem At Prove that if two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are 2, d. congruent. [Use the diagram on the right ] b. Statement Reason Use the list (The list is out of order) 1) p || q (p is parallel to q) Vertical Angles are Congruent 1) 2) 1 2 Transitive Property 2) 3)22 3 Given 3) 4) 21 스 23 Corresponding Angles Theorem () Wrap Up; Daily Checklist DI correctly answered what is given and what is to be proven OI was able to follow each step of at least one proof OI worked well with my partner
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter1: Line And Angle Relationships
Section1.6: Relationships: Perpendicular Lines
Problem 27E
Related questions
Question
Help with page please
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Mr. Garber & Ms. Hain
Practice: Prove Theorems about Parallel Lines
Statements
1) Lines p and q are parallel
2) mz1 110°
3) 22 슬 21
Reasons
Given
Given
Corresponding Angles
Theorem
- --
4) mz2 = 110°
Substitution
9) What Theorem would you use
to prove that 23 42?
10) If mz1= mz2 and mz2 =mz3,
then which Theorem would be
the reason that mz1 = mz3?
11) What line(s) would you add to Statement
the proof above to prove that
Reason
5)
5)
mz3 = 110°?
%3D
6)
6)
12) Proof: The Alternate Exterior Angles Theorem
At
Prove that if two parallel lines are cut by a transversal,
then the pairs of alternate exterior angles are
2,
d.
congruent.
[Use the diagram on the right ]
b.
Statement
Reason Use the list
(The list is out of order)
1) p || q (p is parallel to q)
Vertical Angles are Congruent
1)
2) 1 2
Transitive Property
2)
3)22 3
Given
3)
4) 21 스 23
Corresponding Angles Theorem
()
Wrap Up; Daily Checklist
DI correctly answered what is given and what is to be proven
OI was able to follow each step of at least one proof
OI worked well with my partner](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6d49283a-c742-42c4-bb61-9ece2654b02c%2F9f2f3809-dd77-4491-9753-1f24abae101e%2F5rhkzb3.jpeg&w=3840&q=75)
Transcribed Image Text:3.
Mr. Garber & Ms. Hain
Practice: Prove Theorems about Parallel Lines
Statements
1) Lines p and q are parallel
2) mz1 110°
3) 22 슬 21
Reasons
Given
Given
Corresponding Angles
Theorem
- --
4) mz2 = 110°
Substitution
9) What Theorem would you use
to prove that 23 42?
10) If mz1= mz2 and mz2 =mz3,
then which Theorem would be
the reason that mz1 = mz3?
11) What line(s) would you add to Statement
the proof above to prove that
Reason
5)
5)
mz3 = 110°?
%3D
6)
6)
12) Proof: The Alternate Exterior Angles Theorem
At
Prove that if two parallel lines are cut by a transversal,
then the pairs of alternate exterior angles are
2,
d.
congruent.
[Use the diagram on the right ]
b.
Statement
Reason Use the list
(The list is out of order)
1) p || q (p is parallel to q)
Vertical Angles are Congruent
1)
2) 1 2
Transitive Property
2)
3)22 3
Given
3)
4) 21 스 23
Corresponding Angles Theorem
()
Wrap Up; Daily Checklist
DI correctly answered what is given and what is to be proven
OI was able to follow each step of at least one proof
OI worked well with my partner
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