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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