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Geometry, Section 3-1: Parallel Lines and Transversals
Presentation
•
Mathematics
•
9th - 10th Grade
•
Medium
Standards-aligned
Jeremy Adelmann
Used 911+ times
FREE Resource
9 Slides • 13 Questions
1
Geometry,
Section 3-1
Parallel Lines and Transversals
2
Objectives
Students will be able to identify the relationship between two lines or two planes.
Students will be able to name angles formed by a pair of lines and a transversal.
G.CO.1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, and distance along a line, and distance around a circular arc.
3
Angle Relations
Please copy the diagram on the right.
You will be given a name of an ANGLE RELATIONSHIP.
Consider the meaning of the name of the ANGLE RELATIONSHIP.
Try to determine what angles fit the ANGLE RELATIONSHIP.
4
Open Ended
What do you think "Interior Angles" might mean?
5
Multiple Choice
Which angles do you think are "Interior Angles"?
∠5, ∠6, ∠7 and ∠8
∠1, ∠3, ∠6 and ∠8
∠2, ∠4, ∠5 and ∠7
6
Interior Angles
The INTERIOR ANGLES are:
∠2 , ∠4 , ∠5 and ∠7
7
Open Ended
What do you think EXTERIOR ANGLES might mean?
8
Multiple Choice
Which angles do you think are "Exterior Angles"?
∠5, ∠6, ∠7 and ∠8
∠1, ∠3, ∠6 and ∠8
∠2, ∠4, ∠5 and ∠7
9
Exterior Angles
The EXTERIOR ANGLES are:
∠1 , ∠3 , ∠6 and ∠8
10
Open Ended
Now that we have discussed Interior Angles, what might it mean to be ALTERNATE INTERIOR ANGLES?
11
Multiple Select
Which angles do you think are "Alternate Interior Angles"?
∠4 and ∠5
∠2 and ∠4
∠5 and ∠7
∠1 and ∠8
12
Alternate Interior Angles
The pairs of ALTERNATE INTERIOR ANGLES are:
∠2 and ∠7
and
∠4 and ∠5
13
Open Ended
Now that we have discussed Interior Angles (and Alternate Interior Angles), what might it mean to be CONSECUTIVE INTERIOR ANGLES?
14
Multiple Select
Which angles do you think are "Consecutive Interior Angles"?
∠4 and ∠7
∠2 and ∠4
∠5 and ∠7
∠1 and ∠6
15
Consecutive Interior Angles
The pairs of CONSECUTIVE INTERIOR ANGLES are:
∠2 and ∠5
and
∠4 and ∠7
16
Open Ended
We have discussed Exterior Angles, what might it mean to be ALTERNATE EXTERIOR ANGLES?
17
Multiple Select
Which angles do you think are "Alternate Exterior Angles"?
∠3 and ∠6
∠1 and ∠6
∠3 and ∠8
∠6 and ∠8
18
Alternate Exterior Angles
The pairs of ALTERNATE EXTERIOR ANGLES are:
∠1 and ∠8
and
∠3 and ∠6
19
Open Ended
"Consecutive Exterior Angles" DO NOT exist!
Why do you thing that is?
20
Open Ended
What might it mean to be CORRESPONDING ANGLES?
21
Multiple Select
Which angles do you think are "Corresponding Angles"? (Check all that apply.)
∠2 and ∠6
∠3 and ∠7
∠4 and ∠8
∠3 and ∠8
22
Corresponding Angles
The pairs of CORRESPONDING ANGLES are:
∠1 and ∠5 , ∠2 and ∠6 ,
∠3 and ∠7 , and ∠4 and ∠8
Geometry,
Section 3-1
Parallel Lines and Transversals
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