
Angles Measures and Relationships
Presentation
•
Mathematics, Education
•
8th - 10th Grade
•
Medium
GERALDO BANAAG
Used 16+ times
FREE Resource
8 Slides • 6 Questions
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Angles Measures and Relationships
Mr. Geraldo Banaag
FMS Geometry Honors
Sept 8-11, 2020
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Objectives:
- Measure and classify angles.
- Identify and use congruent angles and the bisector of an angle.
- Use Protractor Postulate and the Angle Addition Postulate
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Open Ended
How would you define an angle?
What properties can you share with the class about angles and its measure?
How do you think we can use the concept of angles in real-life?
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Angles: Basic Terms
(Recall)
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Measure Angles
If two noncollinear rays have a common endpoint, they form an angle. The rays are the sides of the angle. The common endpoint is the vertex. The angle at the right can be named as ∠A, ∠BAC, ∠CAB, or ∠1.
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Example:
a. Name all angles that have R as
a vertex.
b. Name the sides of ∠1.
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Congruent Angles
Angles that have the same measure are congruent angles. A ray that divides an angle into two congruent angles is called an angle bisector. In the figure, PN is the angle bisector of ∠MPR. Point N lies in the interior of ∠MPR and ∠MPN ≅ ∠NPR.
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Example:
Refer to the figure on the right.
If m∠MPN =
2x + 14 and m∠NPR = x + 34, find x and
find m∠NPR.
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ALGEBRA
In the figure QP and QR are opposite
rays.
QS bisects ∠PQT.
If m∠PQT = 60 and m∠PQS = 4x + 14, find the value of
x.
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Fill in the Blanks
Type answer...
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Multiple Choice
Name the vertex of ∠4.
A
B
C
D
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Multiple Choice
In the figure BA and BC are opposite rays.
BF bisects ∠CBE.
If m∠3 = 6y + 2 and m∠4 = 8y – 14, find m∠CBF.
50
100
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Angles Measures and Relationships
Mr. Geraldo Banaag
FMS Geometry Honors
Sept 8-11, 2020
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