Transcript Angle. - Denton ISD

Point. A location.
Line. Opposite directions infinitely.
Line segment. Distance between two points.
Ray. Goes in one direction infinitely.
Angle. Two rays that share a common vertex.
Vertex. The corner of an angle or shape.
Legs. Another way to say the sides or rays of an angle.
COPY IN SPIRAL.
2 WAYS TO NAME AN ANGLE
:
Q
R
S
1. BY
LEG, VERTEX, LEG
QRS SRQ
VERTEX LETTER MUST
BE IN THE MIDDLE.
R
2. BY
VERTEX ONLY.
R
ONLY THE VERTEX LETTER.
Things you need to know:
COPY IN YOUR SPIRAL.
• A circle has 360°
•
•
•
•
•
Straight angle: 180°
Obtuse angle: 91° to 179°
Right angle: exactly 90°
Acute angle: 1°-89°
Supplementary angles: 2 or more angles that add to 180°
ADJACENT Supplementary angles: 2 or more angles that add to 180°
and share a common vertex and side.
• Complementary angles: 2 or more angles that add to 90°
ADJACENTcomplementary angles: 2 or more angles that add to 90°
and share a common vertex and side..
EXAMPLES:
Complementary Angles:
Two or more angles whose sum is
22
36
22 + 36 + 32 =
These angles are complementary
32
90
ADJACENT Complementary
Angles
• Two or more angles that share a common vertex
and side -whose sum is 90
A
B
C
E
AEB +
30°
D
BEC +
30°
DEC
30°
= 90°
EXAMPLES
Supplementary Angles
• Two or more angles whose sum is 180
90
90 + 33 + 57 = 180
33
57
These 3 angles are supplementary
ADJACENT supplementary angles
• Two or more angles that share a common
vertex and side whose sum is 180
A
B
C
47 61
F
23
What is the measure
of
CFD?
AFB +
D
E
BFC +
CFD +
DFE =
COPY IN SPIRAL:
Triangle angles are
supplementary.
ALWAYS.
Because all 3 angles will ALWAYS add to 180°.
NOW YOU MAY CLOSE YOUR SPIRAL
AND WORK ON THE PRACTICE
WORKSHEET..