Download File - Ms. Sarles` Class

PICTURE THIS…
Angle Vocabulary
Angle: 2 rays with a
common endpoint.
The common endpoint
is called the vertex.
The rays are the sides
of the angle.
Angles are named using
three capital letters. The
vertex must be the middle
letter.
This is ∠𝑃𝑄𝑅 or ∠𝑅𝑄𝑃
Acute angle: an angle
whose measure is
between 0° and 90°.
(0°  mA  90°)
Right angle: an angle
whose measure equals
90°. (mA = 90°)
Obtuse angle: an angle
whose measure is
between 90° and 180°.
(90°  mA  180°)
Straight angle: an angle
whose measure is 180°.
(mA = 180°)
mABC: the measure of
angle ABC. The answer
will be measured in
degrees.
ABC  DEF: angle
ABC is congruent to
angle DEF. They are the
same size; I just don’t
know the measure in
degrees.
Adjacent angles: Two
coplanar angles that have
a common vertex, a
common side, and no
common interior points.
(cannot overlap)
Vertical angles: Two
nonadjacent angles
formed by intersecting
lines.
Intersecting lines: 2
lines with one point
in common.
Parallel lines: two lines
that lie in the same plane
and do not intersect.
Complementary angles:
two angles whose sum is
90°.
Supplementary angles:
two angles whose sum
is 180°.
because
Linear pair: two adjacent
angles whose noncommon sides are
opposite rays.
Opposite rays: 2 rays with
a common endpoint that
form a line.
Pairs of corresponding angles match up –
they are congruent (imagine you could place
one line on top of the other)
∠𝟏 ≅ ∠𝟓
∠𝟑 ≅ ∠𝟕
∠𝟐 ≅ ∠𝟔
∠𝟒 ≅ ∠𝟖
Pairs of alternate interior angles are
congruent (look at opposite sides in between
the parallel lines)
∠𝟒 ≅ ∠𝟓
∠𝟑 ≅ ∠𝟔
Pairs of alternate exterior angles are
congruent (look at opposite sides outside the
parallel lines)
∠𝟏 ≅ ∠𝟖
∠𝟐 ≅ ∠𝟕
Linear pairs are supplementary (remember
these make a straight line!)
∠𝟏 and ∠𝟐
∠𝟏 and ∠𝟑
∠5 and ∠6
∠5 and ∠𝟕
∠𝟑 and ∠𝟒
∠𝟐 and ∠𝟒
∠7 and ∠𝟖
∠𝟔 and ∠𝟖
NOT CONGRUENT!!
Vertical angles are congruent (remember
these are across from each other)
∠𝟏 ≅ ∠𝟒
∠5 ≅ ∠𝟖
∠𝟐 ≅ ∠𝟑
∠6 ≅ ∠𝟕
Same side interior angles or consecutive
interior angles are supplementary (look in
between the parallel lines on the same side)
∠𝟒 and ∠𝟔
∠𝟑 and ∠𝟓
NOT CONGRUENT!!
In a plane, if 2 lines are perpendicular to the same line, then they are parallel to each other.
≅
≅
+
= 180°