Lesson 3-3 Day Two Proving Lines Parallel
By Ingrid Kretschmann
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Last updated about 3 years ago
16 Questions
7
1.
Match the Statements with the appropriate Reasons:
- Definition of supplementary angles
- Linear Pair Postulate
- Given
- Corresponding Angles Postulate
- Definition of congruent angles
- Definition of supplementary angles
- Definition of Linear Pair
- Substitution Property of Equality
1
2.
Are the lines parallel? Why or Why Not?
Are the lines parallel? Why or Why Not?
1
3.
Are the lines parallel? Why or Why Not?
Are the lines parallel? Why or Why Not?
1
4.
Which lines/segments are parallel?How do you know?
Which lines/segments are parallel?
How do you know?
1
5.
Which lines/segments are parallel?How do you know?
Which lines/segments are parallel?
How do you know?
1
6.
Which lines/segments are parallel?How do you know?
Which lines/segments are parallel?
How do you know?
1
7.
Which lines/segements are parallel?How do you know?
Which lines/segements are parallel?
How do you know?
1
8.
Which lines are parallel if angle 2 is congruent to angle 3?Justify your answer:
Which lines are parallel if angle 2 is congruent to angle 3?
Justify your answer:
4
9.
Not all "Reasons" need to be used:
- Consecutive Interior Angles CONVERSE Theorem
- Consecutive Interior Angles Theorem
- Given
- Definition of supplementary angles
1
10.
Find the value of x for which line "l" is parallel to line "m".State which theorem/postulate allows you to say this.
Find the value of x for which line "l" is parallel to line "m".
State which theorem/postulate allows you to say this.
1
11.
Find the value of x for which line "r" is parallel to line "s".State which theorem/postulate allows you to say this.
Find the value of x for which line "r" is parallel to line "s".
State which theorem/postulate allows you to say this.
5
12.
Use the given information to determine which lines, if any, are parallel.Justify each conclusion with a theorem or postulate.
Use the given information to determine which lines, if any, are parallel.
Justify each conclusion with a theorem or postulate.
SELECT ALL THAT APPLY:
5
13.
Use the given information to determine which lines, if any, are parallel.Justify each conclusion with a theorem or postulate.
Use the given information to determine which lines, if any, are parallel.
Justify each conclusion with a theorem or postulate.
SELECT ALL THAT APPLY:
6
14.
Drag the appropriate Statement to the Reason given:
Drag the appropriate Statement to the Reason given:
The Reasons on the left are in the correct order.
You drag the Reason in the left column to the appropriate Statement on the right:
- Given
- Definition of Linear Pair
- Linear Pair Postulate
- Definition of Supplementary Angles
- Congruent Supplements Theorem
- Converse of the Corresponding Angles Postulate
2
15.
The ONLY time that you would use the CONVERSE theorems is when you are trying to SHOW that the lines are parallel.
The ONLY time that you would use the CONVERSE theorems is when you are trying to SHOW that the lines are parallel.
2
16.
If the problem already states that the lines are parallel, then you would NOT use the Converse Theorems.
If the problem already states that the lines are parallel, then you would NOT use the Converse Theorems.