geometry 3 3 n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Geometry 3.3 PowerPoint Presentation
Download Presentation
Geometry 3.3

Loading in 2 Seconds...

play fullscreen
1 / 28

Geometry 3.3 - PowerPoint PPT Presentation


  • 142 Views
  • Uploaded on

Geometry 3.3 . Proving Lines Parallel. Learning Target. Students should be able to… Use the angles formed by a transversal to prove two lines are parallel. Warm-up. Homework Check. Homework Check. Homework Check. Homework Check. Homework Check. Homework Check.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Geometry 3.3' - arnold


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
geometry 3 3

Geometry 3.3

Proving Lines Parallel

learning target
Learning Target
  • Students should be able to…
    • Use the angles formed by a transversal to prove two lines are parallel.
review what is a converse
Review…What is a converse?

A converse is found by switching the hypothesis and the conclusion.

Switch the “if” and the “then” statement.

The converse does not have to be true.

practicing converse statements
Practicing Converse Statements

Original Statement:

If my dog is a Dalmatian, then it has spots.

Converse Statement:

If my dog has spots, then it is a Dalmatian.

Is the converse true???

practicing converse statements1
Practicing Converse Statements

Original Statement:

If it is sunny outside, then it won’t rain.

Converse Statement:

If it won’t rain, then it will be sunny outside.

Is the converse true???

practicing converse statements2
Practicing Converse Statements

Original Statement:

If my cell phone is turned off, then it will not ring.

Converse Statement:

If my cell phone will not ring, then it is turned off.

Is the converse true???

practicing converse statements3
Practicing Converse Statements

Do you have a statement to try?

Original Statement:

Converse Statement:

Is the converse true???

connecting
Connecting

Today we are using the converse with the theorems or postulates we discovered yesterday in section 3-2.

Who can remember what any of the theorems or postulates were yesterday?

corresponding angles postulate
Corresponding Angles Postulate

Corresponding Angles Postulate:

If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

Converse of the Corresponding Angles Postulate:

If two coplanar lines are cut by a transversal so that a pair of corresponding angles are congruent, then the two lines are parallel.

alternate interior angles theorem
Alternate Interior Angles Theorem

Alternate Interior Angles Postulate:

If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

Converse of the Corresponding Angles Postulate:

If two coplanar lines are cut by a transversal so that a pair of alternate interior angles are congruent, then the two lines are parallel.

alternate exterior angles theorem
Alternate Exterior Angles Theorem

Alternate Exterior Angles Postulate:

If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.

Converse of the Corresponding Angles Postulate:

If two coplanar lines are cut by a transversal so that a pair of alternate exterior angles are congruent, then the two lines are parallel.

same side interior angles theorem
Same-Side Interior Angles Theorem

Alternate Exterior Angles Postulate:

If two parallel lines are cut by a transversal, then the two pairs of same-side interior angles are supplementary.

Converse of the Corresponding Angles Postulate:

If two coplanar lines are cut by a transversal so that a pair of same-side interior angles are supplementary, then the two lines are parallel.

corresponding angles postulate1
Corresponding Angles Postulate

We already know that…

If two parallel lines are cut by a transversal their corresponding angles are congruent.

Now we are going to look at the converse of this postulate.

Converse of the Corresponding Angle Postulate:

If corresponding angles are congruent, then the two lines are parallel.

3 3 guided notes
3-3 Guided Notes

Converse of the Alternate Exterior Angle Theorem

Converse of the Same-Side Interior Angle Theorem

Converse of the Alternate Interior Angle Theorem

homework assignment
Homework Assignment
  • We will be having a Review/Quiz day on Monday.
  • It will cover 3.1 – 3.3. We will work through practice problems in class before taking the quiz.
  • Homework Assignment:
    • Page 166 – 167 #1 – 9 odd