A PowerPoint presentation about parallel and transverse angles

1. BELLWORK: RECALL THE MIDPOINT OF ANY TWO
ENDPOINTS TO BE .

2. 3.1 PAIRS OF LINES AND ANGLES
We know that parallel lines never intersect because they have the same slope. Is
the following Biconditional Statement true? If not, give a counterexample.
Two lines never intersect iff they're parallel.
Define and illustrate the following vocabulary terms (pg 126).
Parallel Lines -
Perpendicular Lines -
Skew Lines -
Parallel Planes -

3. 3.2 PARALLEL LINES
AND
TRANSVERSALS
In mathematics
a transversal is
a line that
intersects with
at least two
other lines.

4. 3.2 PARALLEL LINES AND TRANSVERSALS
Corresponding Angles Theorem
If two parallel lines Examples
are cut by a transversal
then the pairs of
Corresponding Angles
are congruent.

5. 3.2 PARALLEL LINES AND TRANSVERSALS
Alternate Interior Angles Theorem
If two parallel lines Examples
are cut by a transversal
then the pairs of
Alternate Interior
Angles are congruent.

6. 3.2 PARALLEL LINES AND TRANSVERSALS
Alternate Exterior Angles Theorem
If two parallel lines Examples
are cut by a transversal
then the pairs of
Alternate Exterior
Angles are congruent.

7. 3.2 PARALLEL LINES AND TRANSVERSALS
Consecutive Interior Angles Theorem
If two parallel lines Examples
are cut by a transversal
then the pairs of
Consecutive Interior
Angles are
Supplementary.

8. 3.2 PARALLEL LINES AND TRANSVERSALS
Learning Check
Identify all the pairs of each angle type.
1) Corresponding Angles (There are 4 pair.)
2) Alt Int Angles (There are 2 pair.)
3) Alt Ext Angles (There are 2 pair.)
4) Consecutive Angles (There are 2 pair.)

9. 3.2 PARALLEL LINES AND TRANSVERSALS
Learning Check Solutions
Identify all the pairs of each angle type.
1) Corresponding Angles (There are 4 pair.)
<1 and <5 <2 and <6
<4 and <8 <3 and <7
2) Alt Int Angles (There are 2 pair.)
<4 and <6 <3 and <5
3) Alt Ext Angles (There are 2 pair.)
<2 and <8 <1 and <7
4) Consecutive Angles (There are 2 pair.)
<4 and <5 <3 and <6

10. 3.2 PARALLEL LINES AND TRANSVERSALS DAY 2
Bellwork

11. 3.2 PARALLEL LINES AND TRANSVERSALS DAY 2
From the diagram find the measure of the unknown labeled
angles. Given reasons for your solution.

12. 3.2 PARALLEL LINES AND TRANSVERSALS DAY 2
From the diagram find the measure of the unknown labeled
angles. Given reasons for your solution.

13. 3.2 PARALLEL LINES AND TRANSVERSALS DAY 2
From the diagram find the measure of the unknown labeled
angles. Given reasons for your solution.

14. 3.2 PARALLEL LINES AND TRANSVERSALS DAY 2
From the diagram find the measure of the unknown labeled
angles. Given reasons for your solution.

15. 3.2 PARALLEL LINES AND TRANSVERSALS DAY 2
From the diagram find the measure of the unknown labeled
angles. Given reasons for your solution.