Warm-Up: Billiards (“Pool”). Who has played pool? What’s a “bank shot”? How do you know where to hit the ball on the side? It’s all in the angles! Angles are the foundation of geometry. 1.4 Angles & their Measures. Objectives: Define: Angle, side, vertex, measure, degree, congruent
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Define: Angle, side, vertex, measure, degree, congruent
Name angles with the vertex always in the middle
Measure angles with a protractor
Identify congruent angles
Classify angles as acute, right, obtuse, or straight
Add and subtract angle measures using the angle addition postulate
Sides – the rays XY & XZ
Vertex – the common endpoint; X
Named <YXZ, <ZXY (vertex is always in the middle), or <X (if it’s the only <X in the diagram).
Angles can also be named by a #. (<5)
In the figure, there are three different <Q’s (two smaller ones and a larger one). therefore, none of them should be called <B. The vertex is ALWAYS in the middle of the name
One angle only:
< EFG or < GFE
< ABC or < CBA
< CBD or < DBC
< ABD or < DBA
m<A = 55-20
(they have the same vertex, but don’t overlap) such as <1 & <2
m < FJH = m < FJG + m < GJH
m < FJH = 35° + 60°
If m<QRP=5xo, m<PRS=2xo, & m<QRS=84o, find x.