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Transcript
HW-pg. 158-159 (1-25 odd)
3.1-3.3 Quiz THURSDAY 10-23-14
www.westex.org HS, Teacher Websites
10-17-14
Warm up—Geometry CPA
1. Angle 1 is alt. ext. with _____.
2. Angle 4 corresponds with _____.
1
2
3
4
5
6
7 8
GOAL:
I will be able to:
1. discover relationships between angles formed by
parallel lines cut by a transversal.
HW-pg. 158-159 (1-25 odd)
3.1-3.3 Quiz THURSDAY 10-23-14
www.westex.org
HS, Teacher Websites
Name _______________________
Date ____
GEO CPA
Parallel Lines Cut by a Transversal
GOAL:
I will be able to:
1. discover relationships between angles formed by parallel lines cut by a transversal.
Use the figure below for the following questions:
Step 1
Write down all of the pairs of angles that satisfy the following terms:
a. Corresponding Angles:
b. Alternate Interior Angles:
c. Alternate Exterior Angles:
d. Same-Side Interior Angles:
Step 2
Using a protractor, measure each angle in the above diagram and record your results in the diagram.
Step 3
Using the angle measures that you have just found, fill in the blanks of the following conditional
statements:
If two parallel lines are cut by a transversal, then the:
a. corresponding angles are _______________.
b. alternate interior angles are _______________.
c. alternate exterior angles are _______________.
d. same-side interior angles are _______________.
Step 4
Confirm your conjectures above by drawing two more parallel lines (trace your ruler on each side to make 2
parallel lines) cut by a transversal and measuring their angles in the space below.
Step 5
Draw two lines that are not parallel and then draw a transversal. Measure the angles once again and
determine if the same rules apply to two non-parallel lines cut by a transversal.
Query: What is the minimum number of angles in the diagram you drew in step 4 (and the diagram from the
first page) that you have to measure in order to determine the measure of all of the angles? Step 5?
Step 4 diagram
Step 5 diagram
__________
__________
3.2 Angles Formed by Parallel Lines and Transversals
Example 1: Using the Corresponding Angles Postulate
Find each angle measure.
A. mECF
B. mDCE
You Try:
Find mQRS.
Remember that postulates are statements that are accepted without proof.
Since the Corresponding Angles Postulate is given as a postulate, it can be used to prove the
next three theorems.
Example 2: Finding Angle Measures
Find each angle measure.
A. mEDG
You Try
Find mABD.
B. mBDG
EXIT TICKET
Name ________________________________
When two parallel lines are cut by a transversal:
1. Corr. <s are __________
Alt. Int. <s are _________
Alt. Ext. <s are __________
Same-Side Int. <s are _______ Same-Side Ext. <s are __________
Vert. <s are _________
EXIT TICKET
Name ________________________________
When two parallel lines are cut by a transversal:
1. Corr. <s are __________
Alt. Int. <s are _________
Alt. Ext. <s are __________
Same-Side Int. <s are _______ Same-Side Ext. <s are __________
Vert. <s are _________
EXIT TICKET
Name ________________________________
When two parallel lines are cut by a transversal:
1. Corr. <s are __________
Alt. Int. <s are _________
Alt. Ext. <s are __________
Same-Side Int. <s are _______ Same-Side Ext. <s are __________
Vert. <s are _________