Section 1-4 Angles and their Measures. Angle Formed by two rays with a common endpoint –T–The rays are the sides of the angle –T–The common endpoint is.

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Presentation transcript:

Section 1-4 Angles and their Measures

Angle Formed by two rays with a common endpoint –T–The rays are the sides of the angle –T–The common endpoint is called the vertex of the angle.

X Y W Name the sides of the Angle. and Name the vertex of the angle. W

When naming an angle, the vertex must be in the middle when using 3 points.

An angle can be named by its vertex only if it names one angle!

For Example: X Y W

D A V E You cannot name this angle by its vertex because it names 3 angles!

Protractor Tool that measures angles –m–measured in degrees

Angles that have the same measure are called congruent angles.

Measures are equal! Angles are congruent! For example:

An angle separates a plane in 3 distinct parts: 1.Interior of the angle. 2.Exterior of the angle. 3.Angle itself.

A point is in the interior of an angle if it is between points that lie on each side of the angle. A point is in the exterior of an angle if it is not on the angle or in its interior.

X Y W Z V Interior Exterior

Angle Addition postulate If P is in the interior of, then P S T R

Classifying Angles

Types of angles 1.Right Angle: measure equals 90 degrees 2.Acute Angle: measure is greater than 0 degrees and less than 90 degrees

Types of angles: 3.Obtuse Angle: the measure is greater than 90 degrees but less than 180 degrees 4.Straight Angle: measure equals 180 degrees

Classify each angle. Straight Angle Obtuse Angle Right Angle Acute Angle

Adjacent angles: Two angles that have a common vertex and a common side, but have no common interior points.