If Lines p and q are parallel and mz1 110°, prove mz2 = 110°. %3D %3D Statements 1) Lines p and q are parallel 2) mz1%3D110° 3) 22 손 21 4) mz2% D 110° Reasons Given Given Corresponding Angles Theorem Substitution %3D Concept Check for Understanding Student Response 3. In the proof above, what are we trying to prove? 4. In the proof above: What does "given" mean? 5. In the proof above: a) How do you know that lines p and q are parallel? b) How do you know that mz1 = 110° %3D 3. Make sure you annotate the diagram! b. 6. What information in the diagram above shows that 21 and 22 are Corresponding Angles? 7. Why is it necessary for Line 3 of the proof that lines p and q are parallel? {Hint what reason is given in Line 3??] 8. In Line 4 of the above proof, the Statement is mz2 = 110°. How do you know that this is what we wanted to %3D prove?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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If Lines p and q are parallel and mz1 110°, prove mz2 = 110°.
%3D
%3D
Statements
1) Lines p and q are parallel
2) mz1%3D110°
3) 22 손 21
4) mz2% D 110°
Reasons
Given
Given
Corresponding Angles Theorem
Substitution
%3D
Concept Check for Understanding
Student Response
3. In the proof above, what are we trying
to prove?
4. In the proof above:
What does "given" mean?
5. In the proof above:
a) How do you know that lines p and q
are parallel?
b) How do you know that mz1 = 110°
%3D
3.
Make sure you annotate the diagram!
b.
6. What information in the diagram
above shows that 21 and 22 are
Corresponding Angles?
7. Why is it necessary for Line 3 of the
proof that lines p and q are parallel? {Hint
what reason is given in Line 3??]
8. In Line 4 of the above proof, the
Statement is mz2 = 110°. How do you
know that this is what we wanted to
%3D
prove?
Transcribed Image Text:If Lines p and q are parallel and mz1 110°, prove mz2 = 110°. %3D %3D Statements 1) Lines p and q are parallel 2) mz1%3D110° 3) 22 손 21 4) mz2% D 110° Reasons Given Given Corresponding Angles Theorem Substitution %3D Concept Check for Understanding Student Response 3. In the proof above, what are we trying to prove? 4. In the proof above: What does "given" mean? 5. In the proof above: a) How do you know that lines p and q are parallel? b) How do you know that mz1 = 110° %3D 3. Make sure you annotate the diagram! b. 6. What information in the diagram above shows that 21 and 22 are Corresponding Angles? 7. Why is it necessary for Line 3 of the proof that lines p and q are parallel? {Hint what reason is given in Line 3??] 8. In Line 4 of the above proof, the Statement is mz2 = 110°. How do you know that this is what we wanted to %3D prove?
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