Download 2.5.1 Investigation Linear and Vertical Pair of Angles

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GEOMETRY
Q1T2
2.5.1 Angle Relationships
Investigation 1 • The Linear Pair Conjecture
Name
Period
Date
You will need: a protractor
S
Step 1
P
R
Q
Draw P@#Q$ and place a point R___
P and Q. Choose another
  between
›
​     You have just created a linear
point S not on P@#Q$ and draw RS .
pair of angles. Place the “zero edge” of your protractor along P@#Q$.
What do you notice about the sum of the measures of the linear
pair of angles?
 
​ 
Step 2
Compare your results with those of your group. Does everyone
make the same observation? Complete the statement.
Linear Pair Conjecture
If two angles form a linear pair, then
Discovering Geometry Investigation Worksheets ©2009 Michael Serra Mrs. Paunovska
.
LESSON 2.5 1
Page 1
GEOMETRY
Q1T2
2.5.1 Angle Relationships
Investigation 2 • Vertical Angles Conjecture
Name
Period
Date
You will need: a straightedge, patty paper
4
1 2
3
Step 1
Draw two intersecting lines onto patty paper or tracing paper.
Label the angles as shown. Which angles are vertical angles?
Step 2
Fold the paper so that the vertical angles lie over each other.
What do you notice about their measures?
Step 3
Fold the paper so that the other pair of vertical angles lie over
each other. What do you notice about their measures?
Step 4
Compare your results with the results of others. Complete
the statement.
Vertical Angles Conjecture
If two angles are vertical angles, then
Discovering Geometry Investigation Worksheets ©2009 Michael Serra Mrs. Paunovska
.
LESSON 2.5 1
Page 2
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