Download Angle Relationships Toolkit

Angle Relationships Toolkit
Complementary Angles (COMP)
Supplementary Angles (SUPP)
Complementary angles are two
angles that together form a right
angle
Supplementary angles are
two angles that together form
a straight line
a  b  90
w  z  180
Vertical Angles (VERT)
Corresponding Angles (CORR)
Vertical Angles are opposite
each other at the intersection
of two lines
Corresponding angles are in
the exact same position at an
intersection
cg
VERT are always congruent
If the lines are parallel, then CORR are congruent
Alternate Exterior Angles (AEA)
Alternate Interior Angles (AIA)
AIA are between the lines
on opposite sides of the
transversal
if
AEA are outside the lines
on opposite sides of the
transversal
f m
if
If the lines are parallel, then AIA are congruent
Same Side Interior Angles (SSI)
SSE angles are outside the
lines on the same side of the
transversal
g  m  180
if
If the lines are parallel, then SSI are supplementary
Triangle Angle Sum Theorem (∆ Sum)
cn
If the lines are parallel, then AEA are congruent
Same Side Exterior Angles (SSE)
SSI angles are between the
lines on the same side of the
transversal
if
d m
if
d  n  180
If the lines are parallel, then SSE are supplementary
∆ Sum states the measures of the angles in a triangle add up to 180°
∠A+∠B+∠C=180°