Measuring and Constructing Angles

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Geometry
Farris 2015

I can measure and create angles of
a given measure by using a
protractor. I can classify types of
angles by their measurement.
Angle – a figure formed by two rays, or
sides, with a common endpoint called
the vertex.

Interior angle – set of all points between
the sides of the angle.
Exterior angle – set of all points outside
the angle.
Protractor Postulate

Postulate 1-3-1
Given line AB and a point O on line AB,
all rays that can be drawn from O can be
put into a one-to-one correspondence
with the real numbers from 0 – 180.
Types of angles

Real life angles

 https://www.youtube.com/watch?v=QBUhsL6kTZQ
Angle Addition Postulate

Postulate 1-3-2
If S is in the interior of angle PRQ, then
measure of angle PQS + measure of
angle SQR = measure of angle PQR
example
Constructing Congruent
Angles

 https://www.youtube.com/watch?v=sfO1sAWO0s
M
Paper, pencil, compass,
straight edge needed
Constructing Angle Bisectors

Angle Bisector – a ray that divides an angle
Into two congruent angles.
 https://www.youtube.com/watch?v=lIwvSzfUkOY
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