7th Grade Math Definitions

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7th Grade Math Definitions
Angles
Acute angle: An angle that measures less than 90 .
D
Complementary angles: Two angles whose measures have a sum of 90 .
E
Congruent angles: Angles that have the same measure.
Obtuse angle: An angle that measures more than 90 and less than 180 .
A
B
V
Right angle: An angle that measures 90 .
Supplementary angles: Two angles whose measures have a sum of 180 .
Parallel Lines and Transversals
Parallel lines: In the diagram, lines l and m do not intersect and are parallel.
t
Transversal: A line (t) that intersects two or more lines.
Corresponding angles: A pair of angles formed by a
a
b
l
transversal and two lines; in the diagram, the pairs
c
d
of corresponding angles are
a and
e,
b and
f ,
c and
g, and
d and
h.
m
e
f
Interior angles: Angles on the inner sides of two
g
h
lines cut by a transversal In the diagram, angles
c, d, e, and f are interior angles.
Exterior angles: Angles that are outside the two parallel lines. In the diagram, angles a, b, g, and h are
exterior angles.
Alternate interior angles: A pair of angles formed by a transversal and two lines; in the diagram, the pairs of
alternate interior angles are
c and
f and
d and
e.
Alternate exterior angles A pair of angles formed by a transversal and two lines; in the diagram, the pairs of
alternate exterior angles are
a and
h and
b and
g.
Vertical angles: A pair of opposite and congruent angels formed by
2
intersecting lines. In the diagram,
1 and
3 are vertical angles
1
3
4
and
2 and
4 are also congruent and vertical angles.
Order of Operations -- P.E.M.D.A.S.
1) Evaluate the expressions inside the grouping symbols
2) Evaluate all exponents
3) Multiply and/or divide in order from left to right
4) Add and/or subtract in order from left to right
Grouping Symbols include:
• Parentheses ( )
• Brackets [ ]
. .
4 + 6
• Fraction Bars, as in
, which means (4 + 6)
2
2

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