140 likes | 258 Views
Warm-up. If F lies between points E and G, mEF =3 cm. and mEG =38cm. What is mFG ? Objective: TLW measure and classify angles and add angle measures. 1.5: Measuring Angles. Obj : Use a protractor to measure angles and name angles. Other Geometric Figures.
E N D
Warm-up • If F lies between points E and G, mEF=3 cm. and mEG=38cm. What is mFG? • Objective:TLW measure and classify angles and add angle measures
1.5: Measuring Angles Obj: Use a protractor to measure angles and name angles.
Other Geometric Figures • Angle: a figure formed by 2 rays with a common endpoint. • Vertex of the angle: The common endpoint • Sides of the angle: the rays
Ex: Identify the vertex of the angle below and name its sides. Vertex__________ Sides ________ ----------- A R C
Angles • Naming an angle (3 ways) • < with the name of the vertex • < with a point from one side, the vertex, and a point from the other side • < with a number shown in the interior
Example B G 3 L Possible Names H
Using a Protractor to Measure Angles • Line arrow of protractor with vertex of angle • Place edge of protractor on one ray of angle • Determine which #’s to use (ray is on 0) • Find degree measure where other ray intersects the protractor
Definitions • Congruent Angles: Angles with the same degree measure • Ex: • Note: To indicate that angles are congruent in a pic use arcs on the angles 80° 80°
Types of Angles • Acute: 0-90 degrees • Right: 90 degrees • Obtuse: 90-180 degrees • Straight: 180 degrees
Angle Addition Postulate • If point S is in the interior of < PQR, then m < PQS + m < SQR = m < PQR R Q S P