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Lesson 11 ProvingParallelLines pREAP

Last updated almost 2 years ago

20 Nsɛmmisa

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.

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

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1.

<8 and <6 are

Vertical angle Postulate

Given

Supplementary angle Postulate

Transitive (substitution) Porperty

Asemmisa {{asɛmmisaAhyɛnsode}}

2.

<3 and <6 Reason

Given

Transitive (substitution) Porperty

Supplementary angle Postulate

Vertical angle Postulate

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3.

Transitive (substitution) Porperty

Vertical angle Postulate

Given

Supplementary angle Postulate

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4.

<8 and <3 are

Vertical angle Postulate

Transitive (substitution) Porperty

Corresponding angles Postulate

Given

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5.

<8 and <5 are

Transitive (substitution) Porperty

Vertical angle Postulate

Given

Linear angles Postulate

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6.

Then we exchange equal angles...

Linear angles Postulate

Transitive (substitution) Porperty

Vertical angle Postulate

Given

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7.

What kind of angles are <3 and <7

Alternate Interior

Same side interior

Corresponding

Alternate Exterior

Same side exterior

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8.

Given

Prove

Addition Property

None

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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.

Asemmisa {{asɛmmisaAhyɛnsode}}

10.

What kind of angles are <3 and <5

Alternate Exterior

Alternate Interior

Same side interior

Corresponding

Same side exterior

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11.

None

Prove

Addition Property

Given

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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

Asemmisa {{asɛmmisaAhyɛnsode}}

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

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14.

Prove

Given

Addition Property

None

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15.

Division Prop

Multiplication Property

None

Transitive or Substititution

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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

Asemmisa {{asɛmmisaAhyɛnsode}}

17.

What kind of angles are <4 and <5

Same side exterior

Alternate Exterior

Alternate Interior

Corresponding

Same side interior

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18.

None

Prove

Given

Addition Property

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19.

None

Multiplication Property

Division Prop

Transitive or Substititution

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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