Download Angles - MrLinseman

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MPM 1D Lesson
ANGLES
COMPLEMENTARY ANGLES

A
Complementary angles
add up to 90
C
B
D
SUPPLEMENTARY ANGLES
 supplementary angles
add up to
B
180
A
C
ACUTE ANGLE

acute angles are less
than 90
OBTUSE ANGLE

obtuse angles are
between 90 and 180
REFLEX ANGLE

reflex angles are
between
180 and 360
OPPOSITE ANGLES
OPPOSITE ANGLES

EXAMPLE
opposite angles are equal
112
 A  C
A
D
B
and
 B  D
y
x
z
C
x  ________ y  __________ z  __________
ANGLES
OF
2
PARALLEL LINES
ALTERNATE ANGLES



angles between two lines and are on opposite sides of a transversal that intersects the two
lines.
alternate angles are equal.
alternate angles form a _______________ pattern or a _______________ pattern
Example:
x
x
132
x
x
x
x  ____________
CORRESPONDING ANGLES



angles that are on the same side of a transversal and on the same side of each line
corresponding angles are equal
they form an ___________, ____________, ___________ or __________ pattern.
126
Example:


x


x  ____________
INTERIOR ANGLES

Angles that are between two lines and are on the same side of a transversal that intersects
the two lines
They are supplementary angles, therefore, they add up to 180

They form a ___________

or ___________ pattern.
Example:
x
126
x  y  180
x
y
x  ____________
3
CLASSIFYING TRIANGLES
SCALENE TRIANGLE

BY
LENGTH
ISOSCELES TRIANGLE
no equal sides

ACUTE TRIANGLE
BY
SIDES
EQUILATERAL TRIANGLE
 3 equal sides
2 equal sides
CLASSIFYING TRIANGLES
OF
SIZE
OF
RIGHT TRIANGLE
ANGLES
RIGHT ISOSCELES TRIANGLE
A
B

C
all angles are less than
90

OBTUSE TRIANGLE

the triangles has one
obtuse angle i.e. one angle is
greater that 90
the triangles has one
90 -angles
ACUTE SCALENE TRIANGLE

all angles are less than
90 and the sides are all
different in length
the triangles has one
90 -angles and two equal
sides
