Honors Geometry Section 1.3 part 1 Angles and Their Measures

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# Honors Geometry Section 1.3 part 1 Angles and Their Measures - PowerPoint PPT Presentation

Honors Geometry Section 1.3 part 1 Angles and Their Measures. An * angle is t he figure formed by the union of two rays with a common endpoint. The rays are called the ____ of the angle and their common endpoint is the _____ of the angle. sides. vertex.

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Presentation Transcript

An *angle is the figure formed by the union of two rays with a common endpoint.The rays are called the ____ of the angle and their common endpoint is the _____ of the angle.

sides

vertex

The same angle can be named in different ways:1) 2) 3)

by 3 points, with the middle point being the vertex

by just the vertex – must have only one angle with this vertex

The same angle can be named in different ways:1) 2) 3)

by 3 points, with the middle point being the vertex

by just the vertex – must have only one angle with this vertex

by using a number placed in the interior near the vertex

Angles are measured using a __________.A common unit used for measuring angles is the ______. Radians and gradients are also used.

protractor

degree

We write ______to represent the measure of .Postulate 1.3.2: Two angles are congruent iffTick marks are used to indicate congruent angles in a figure.

their measures are equal.

We write ______to represent the measure of .Postulate 1.3.2: Two angles are congruent iffTick marks are used to indicate congruent angles in a figure.

their measures are equal.

Angles are classified according to their measure.An *acute angle is an angle whose measure is A *right angle is an angle whose measure is

between 0 and 90 degrees.

exactly 90 degrees.

To indicate a right angle in a figure, place a small square at the vertex.Perpendicular lines are two lines that intersect To indicate that is perpendicular to , we write _________

to form right angles.

An *obtuse angle is an angle whose measure is A *straight angle is an angle whose measure is

between 90 and 180 degrees.

exactly 180 degrees.

The Angle Addition Postulate is similar to the Segment Addition Postulate.Postulate 1.3.3: Angle Addition Postulate: If S is in the interior of , then