1.4 Angles and Their Measures. Geometry Mrs. Spitz Fall 2005. Standard/Objectives:. Standard : Students will understand geometric concepts and applications Benchmark : Use visualization, spatial reasoning, and geometric modeling to solve problems. Standard/Objectives:.
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Standard: Students will understand geometric concepts and applications
Benchmark: Use visualization, spatial reasoning, and geometric modeling to solve problems.
Performance Standard: Solve problems involving complementary, supplementary and congruent angles.
The angle that has sides AB and AC is denoted by BAC, CAB, A. The point A is the vertex of the angle.Using Angle Postulates
mBAC = 50°.
mBAC = mDEF
ANGLES ARE CONGRUENT
BAC DEFNote – Geometry doesn’t use equal signs like Algebra
“is congruent to”
“is equal to”
Note that there is an m in front when you say equal to; whereas the congruency symbol ; you would say congruent to. (no m’s in front of the angle symbols).
The measure of AOB is equal to the absolute value of the difference between the real numbers for OA and OB.Postulate 3: Protractor Postulate
A point is in the exterior of an angle if it is not on the angle or in its interior.Interior/Exterior
Find the angle of vision seen by the left eye alone.Ex. 2: Calculating Angle Measures
Two angles are adjacent angles if they share a common vertex and side, but have no common interior points.
Angles are classified according to their measure. Those measuring less than 90° are acute. Those measuring 90° are right. Those measuring between 90° and 180° are obtuse, and those measuring exactly 180° are straight angles.