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Angle Relationship Notes
Shapes and Designs
Problem 3.4
Adjacent Angles
side
vertex
Two angles that share a ____________
and a ___________.
overlap
They may not __________________.
adjacent
Angle ABC is _____________________
to angle CBD.
B
𝐵𝐶
____________
is the side they share, and ___________
is the common vertex.
nothing
Adjacent angles tell us _____________
about the measures of the angles.
Complementary angles
(remember Co – 90!!!)
90°
TWO angles that have a sum of _______________.
Since the
Right
30° angle and the 60° angle form a _____________
complementary
angle
________________,
they are ______________________.
If
two lines, rays or segments meet and form right angles, they
complementary
are _________________________.
If the measure of angle 1 is 30°, the measure of angle 2 must
60°
be ______________
because the two angles
90°
must add up to ________°
Complementary angles
Since one angle measures 30° and the other measures 60°, the
90°
sum of their measures is __________°
therefore, the two
complementary Complementary angles
angles are _________________.
adjacent
DO NOT
_______________
need to be __________________.
Supplementary angles
TWO angles whose measures add up to
180
__________°.
Since the 110° angle and the 70° are
LINEAR, together they form a straight line, they are
supplementary
_______________________.
Since the sum of the
180
two angles is _________°,
they are called
supplementary
_________________.
Supplementary angles
adjacent
DO NOT need to be ____________.
__________
Vertical Angles
Angles formed by the ______________
of two
intersection
lines
straight
____________
____________.
other
opposite
each __________.
They are ______________
from ______
Vertical angles are ALWAYS
congruent
_____________________.
Corresponding Angles
parallel
A pair of angles that are formed when two _______________
transversal
lines are cut by a _____________________.
These two angles
location at each intersection. If the
are in the same ______________
transversal were cut in half and laid on top of each other,
______________
position
location or _________.
the two angles would be in the same _________
always
congruent
Corresponding angles are ______________
______________.
Corresponding angles can be tested using the
“F” test…
Alternate Interior Angles
inside
Two angles that are _____________
parallel lines
transversal
and are on opposite sides of a _________________.
The measures of alternate interior angles are always
congruent
______________________.
Alternate Interior angles can be tested with the
“Z” test…
Alternate Exterior Angles
outside
Two angles that are _______________ parallel lines
transversal
and are on opposite sides of a __________________.
The measures of alternate exterior angles are
congruent
always ______________________.
Same Side Interior Angles
inside
Two angles that are _______________
parallel lines and are
same
transversal
on the ________________
side of the ________________.
The measures of same side interior angles always add up
supplementary
to _______
180° and are ______________________.
Same Side Exterior Angles
outside
Two angles that are _______________
parallel lines and are
same
transversal
on the ________________
side of the ________________.
The measures of same side exterior angles always add up
supplementary
180° and are ______________________.
to _______