Name _______________________________
Geometry
Computer Lab
Special Pairs of Angles
Define Adjacent Angles : ________________________________________________
_______________________________________________________________________
Construct two intersecting line segments, AB and CD. Choose each segment
and construct "point at intersection", label as point E.
State the four sets of adjacent angles that are formed.
<AEC is adjacent to < ____ and <____ <CEB is adjacent to <____
and <____
<BED is adjacent to <____ and <____ <DEA is adjacent to <____
and <____
m<AEC = ____ m<DEB = _____ m<CEB = _____ m<AED =
_____
What can you conclude about <AEC and <BED? ___________________ and
<CEB and
<DEA? ____________________. These sets of angles are called "vertical
angles".
Define Vertical Angles : _________________________________________________
_______________________________________________________________________
What can you conclude about <AED and < AEC? _______________________________
These angles form a "linear pair". Define a Linear Pair of
Angles : ______________
_______________________________________________________________________
How many sets of linear pairs are formed with two intersecting lines? _______________
Construct a line segment AB. Choose this segment and construct "point
on object", label as point C. Construct line segment CD. m<ACD =
________ m<DCB = ________
What can you conclude about the sum of the measures of these two angles?
__________
Move point D around the screen. Does your conclusion stay the same? _____________
<ACD and <DCB are "supplementary angles".
Define Supplementary Angles : __________________________________________
_______________________________________________________________________
Construct a right angle ABC. Construct a segment BD in the interior of the
angle.
m<ABD = ___________ and m<DBC = ___________ What can you conclude
about
sum of the measures of these two angles? _____________________________________
Move point D around the interior of the right angle. Does your conclusion
stay the same?
_____________________________ <ABC and <DBC are "complementary
angles".
Define Complementary Angles: _________________________________________
______________________________________________________________________
Submitted by Becky Jameson from Harlem High School in Harlem, GA.
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