Download Chpt 1 L5 Angle Pairs.notebook

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

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

Document related concepts

Pythagorean theorem wikipedia , lookup

Integer triangle wikipedia , lookup

History of trigonometry wikipedia , lookup

Line (geometry) wikipedia , lookup

Rational trigonometry wikipedia , lookup

Multilateration wikipedia , lookup

Trigonometric functions wikipedia , lookup

Perceived visual angle wikipedia , lookup

Euler angles wikipedia , lookup

Euclidean geometry wikipedia , lookup

Transcript
Chpt 1 L5 Angle Pairs.notebook
September 15, 2014
DO NOW:
1. If m<AOB=85 degrees, and m<AOC=130 degrees, what does m<BOC=? Classify <BOC.
2. DRAW A DIAGRAM!!
S is in the interior of <RQT. If m<RQS is 4x­20, and the m<SQT is 3x+14. If m<RQT=155 degrees, what does m<RQS=? Classify <RQS.
1
Chpt 1 L5 Angle Pairs.notebook
September 15, 2014
Angle Bisector:
A _______ that divides an angle into two __________ angles. It shares an
___________ with the two rays that make up the angle.
this is similar to a __________ when dealing with segments.
Picture:
Example:Example: KM bisects <JKL.
Extension:
If m<JKL=72, what is the m<JKM?
QS bisects <PQR. Solve for x and find m<PQR given that
m<PQS = 3x and m<SQR = 5x - 20.
2
Chpt 1 L5 Angle Pairs.notebook
September 15, 2014
Types of Angles
Vertical Angles:
Adjacent Angles:
Complementary Angles:
Supplementary Angles:
3
Chpt 1 L5 Angle Pairs.notebook
September 15, 2014
Matching!
4
Chpt 1 L5 Angle Pairs.notebook
September 15, 2014
Application:
5
Chpt 1 L5 Angle Pairs.notebook
September 15, 2014
Linear Pair: ________ angles whose noncommon sides are _________ _____.
They form a ______ ______.
If two angles form a linear pair, then they are ________.
Example: Solve for x
SUPPLEMENTARY VS. LINEAR PAIR
6
Chpt 1 L5 Angle Pairs.notebook
September 15, 2014
Extension problems! 1. 2. DRAW A DIAGRAM
7
Chpt 1 L5 Angle Pairs.notebook
September 15, 2014
3. DRAW A DIAGRAM
4. XY bisects <WXZ. m<WXY is 7x­7. m<YXZ is 5x+3. DRAW A DIAGRAM
a) Solve for x and find the m<WXY.
b) Find m<YXZ
5. <ABC and <CBD are vertical angles.
If m<ABC is
14x+3, and m<CBD is 10x +13, solve for x and
find the m<ABC.
DRAW A DIAGRAM
8
Chpt 1 L5 Angle Pairs.notebook
September 15, 2014
HELPFUL VIDEOS!
https://www.khanacademy.org/math/cc­eighth­grade­math/cc­8th­geometry/
cc­8th­angles­between­lines/e/angle_addition_postulate
https://www.khanacademy.org/math/cc­eighth­grade­math/cc­8th­geometry/
cc­8th­angles­between­lines/v/example­using­algebra­to­find­measure­of­
complementary­angles
https://www.khanacademy.org/math/cc­eighth­grade­math/cc­8th­geometry/
cc­8th­angles­between­lines/v/example­using­algebra­to­find­measure­of­
supplementary­angles
9