1.4. ANGLE MEASURES DAY ONE Honors Geometry. Do Now: What is the distance between a. R and Q? b. S...
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Transcript of 1.4. ANGLE MEASURES DAY ONE Honors Geometry. Do Now: What is the distance between a. R and Q? b. S...
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1 .4 . ANGLE MEASURES DAY ONE
Honors Geometry
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Do Now:
What is the distance between a. R and Q?
b. S and R?
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Do Now:
The answers for the challenge problem packet is posted to the right. Check them out and see which ones you want me to go over
* Note: I refuse to do #7. That one was super challenge and if you get it great, if not no worries :D if you want to see how it’s done come by sometime and I’ll show you :D
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Homework
Questions?Struggles?Ask Ask Ask!
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Definitions:
Ray: Part of a line, it has one endpoint and extends indefinitely in the other direction.
Notation: The name must begin with the endpoint.
Ex:
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Definitions
Opposite Rays: Rays at a 180 degree angle. Collinear.
Ex:
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Example One:
Name three rays in the picture below
Name two sets of opposite rays in the picture
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Definition:
Angle: formed by two non-collinear rays that have a common endpoint.
Sides: The rays are the sides of the angleVertex: The endpoint is called the vertex of
the angle.
Notation: The middle letter must be the vertex of the angle
Ex:
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Example Two:
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Example Three:
Which angles have R as a vertex?
What are the sides of <1?
What is another name for <SRP?
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Example Four:
1. Name the vertex of <4 2. Name the sides of <BDC 3. Write another name for <DBC
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You Try!
Determine the sides and vertex of each angle then come up with THREE ways to write the angle.
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Angles:
There are four types of angles Acute Obtuse Right Straight
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Angles- Four Types
Obtuse Angles: Angles between 90 < x < 180 degrees
Ex:
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Angles- Four Types
Acute Angles: Angles with 0 < x < 90 degrees
Ex:
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Angles- Four Types
Right Angles: 90 degree anglesDenoted by a little square.
Ex:
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Angles- Four Types
Straight Angles: 180 degree angle i.e. a straight line.
EX:
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Example Five:
Classify each angle as right, obtuse, acute or straight. <MPR
<NPR
<SPR
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You Try!
Classify each angle as obtuse, right, straight or acute. <LMN
<PMN
<QML
<PML
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Example Six
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Example Seven:
If m<ROT = 155 degrees, what are m<ROS and m<TOS?
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You Try!
<DEF is a straight angle. What are m<DEC and m<CEF?
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Practice Problems
Try some on your own/in small groups
As always if you are confused don’t hesitate to ask me or your group members questions!
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