Download Angles - MrLinseman

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

Document related concepts

Line (geometry) wikipedia, lookup

Euclidean geometry wikipedia, lookup

Pythagorean theorem wikipedia, lookup

Rational trigonometry wikipedia, lookup

Integer triangle wikipedia, lookup

Trigonometric functions wikipedia, lookup

Multilateration wikipedia, lookup

Technical drawing wikipedia, lookup

History of trigonometry wikipedia, lookup

Golden ratio wikipedia, lookup

Euler angles wikipedia, lookup

Reuleaux triangle wikipedia, lookup

Penrose tiling wikipedia, lookup

Rotation formalisms in three dimensions wikipedia, lookup

Transcript
Name:
Date:
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
