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Lesson 11 ProvingParallelLines pREAP
By edith lopez
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Last updated almost 2 years ago
20 questions
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title
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Refer to the shape below to write the following proofs
title
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Use the image to the right to Prove lines are parallel given different types of angle pairs
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10
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12
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You can look at these examples for guidance (no, there are not the answers to your previous page)
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Use the image on the page (shown here) to Prove different types of angle pairs given Parallel lines t and h.
Question 1
1.
Question 2
2.
Question 3
3.
Question 4
4.
Question 5
5.
Question 6
6.
Question 7
7.
Question 8
8.
Question 9
9.
Question 10
10.
Question 11
11.
Question 12
12.
Question 13
13.
Question 14
14.
Question 15
15.
Question 16
16.
Question 17
17.
Question 18
18.
Question 19
19.
Question 20
20.
<8 and <6 are
Vertical angle Postulate
Given
Supplementary angle Postulate
Transitive (substitution) Porperty
<3 and <6 Reason
Given
Transitive (substitution) Porperty
Supplementary angle Postulate
Vertical angle Postulate
Transitive (substitution) Porperty
Vertical angle Postulate
Given
Supplementary angle Postulate
<8 and <3 are
Vertical angle Postulate
Transitive (substitution) Porperty
Corresponding angles Postulate
Given
<8 and <5 are
Transitive (substitution) Porperty
Vertical angle Postulate
Given
Linear angles Postulate
Then we exchange equal angles...
Linear angles Postulate
Transitive (substitution) Porperty
Vertical angle Postulate
Given
What kind of angles are <3 and <7
Alternate Interior
Same side interior
Corresponding
Alternate Exterior
Same side exterior
Given
Prove
Addition Property
None
Use your answer on 7.
Converse of the alternate exterior angles Thm
Converse of the Corresponding angles Postulate
Converse of the alternate interior angles Thm
Converse of the same side exterior angles Thm
Converse of the Same side interior angles Post.
What kind of angles are <3 and <5
Alternate Exterior
Alternate Interior
Same side interior
Corresponding
Same side exterior
None
Prove
Addition Property
Given
Use your answer of 10.
Converse of the Corresponding angles Postulate
Converse of the same side exterior angles Thm
Converse of the Same side interior angles Post.
Converse of the alternate interior angles Thm
Converse of the alternate exterior angles Thm
What kind of angles are <1 and <8 (it's not Angle 7, its angle 8!)
Corresponding
Alternate Exterior
Same side exterior
Alternate Interior
Prove
Given
Addition Property
None
Division Prop
Multiplication Property
None
Transitive or Substititution
Use your answer on question 13
Converse of the same side exterior angles Thm
Converse of the Same side interior angles Post.
Converse of the alternate interior angles Thm
Converse of the Corresponding angles Postulate
Converse of the alternate exterior angles Thm
What kind of angles are <4 and <5
Same side exterior
Alternate Exterior
Alternate Interior
Corresponding
Same side interior
None
Prove
Given
Addition Property
None
Multiplication Property
Division Prop
Transitive or Substititution
Use your answer on question 17
Converse of the alternate interior angles Thm
Converse of the Same side interior angles Post.
Converse of the Corresponding angles Postulate
Converse of the alternate exterior angles Thm
Converse of the same side exterior angles Thm
