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Lesson 11 ProvingParallelLines pREAP

Posljednje ažuriranje almost 2 years ago

20

Refer to the shape below to write the following proofs

Use the image to the right to Prove lines are parallel given different types of angle pairs

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.

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Pitanje 1

1.

<8 and <6 are

Vertical angle Postulate

Given

Supplementary angle Postulate

Transitive (substitution) Porperty

Pitanje 2

2.

<3 and <6 Reason

Given

Transitive (substitution) Porperty

Supplementary angle Postulate

Vertical angle Postulate

Pitanje 3

3.

Transitive (substitution) Porperty

Vertical angle Postulate

Given

Supplementary angle Postulate

Pitanje 4

4.

<8 and <3 are

Vertical angle Postulate

Transitive (substitution) Porperty

Corresponding angles Postulate

Given

Pitanje 5

5.

<8 and <5 are

Transitive (substitution) Porperty

Vertical angle Postulate

Given

Linear angles Postulate

Pitanje 6

6.

Then we exchange equal angles...

Linear angles Postulate

Transitive (substitution) Porperty

Vertical angle Postulate

Given

Pitanje 7

7.

What kind of angles are <3 and <7

Alternate Interior

Same side interior

Corresponding

Alternate Exterior

Same side exterior

Pitanje 8

8.

Given

Prove

Addition Property

None

Pitanje 9

9.

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.

Pitanje 10

10.

What kind of angles are <3 and <5

Alternate Exterior

Alternate Interior

Same side interior

Corresponding

Same side exterior

Pitanje 11

11.

None

Prove

Addition Property

Given

Pitanje 12

12.

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

Pitanje 13

13.

What kind of angles are <1 and <8 (it's not Angle 7, its angle 8!)

Corresponding

Alternate Exterior

Same side exterior

Alternate Interior

Pitanje 14

14.

Prove

Given

Addition Property

None

Pitanje 15

15.

Division Prop

Multiplication Property

None

Transitive or Substititution

Pitanje 16

16.

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

Pitanje 17

17.

What kind of angles are <4 and <5

Same side exterior

Alternate Exterior

Alternate Interior

Corresponding

Same side interior

Pitanje 18

18.

None

Prove

Given

Addition Property

Pitanje 19

19.

None

Multiplication Property

Division Prop

Transitive or Substititution

Pitanje 20

20.

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