ANGLES Geometry 1.3a. State Standard: LG.1.G.4Geometry Apply, with and without appropriate technology, definitions, theorems, properties, and postulates.

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Presentation transcript:

ANGLES Geometry 1.3a

State Standard: LG.1.G.4Geometry Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics and complementary, supplementary, vertical angles, linear pairs, and angles formed by perpendicular lines.

Vocabulary acute angle - an angle whose measure is between 0  and 90 . adjacent angles - two coplanar angles that share a vertex and a side but do not overlap. angle - two non-collinear rays having the same vertex

Vocabulary continued… complementary angles - two angles whose measures add up to 90 degrees. congruent - having the same measure; having the same size and shape. obtuse angle - an angle whose measure is between 90  and 180 .

Vocabulary continued… linear pair of angles - two adjacent angles whose non-shared rays form a straight angle. 1 2 right angle – an angle whose measure is exactly 90°.

Vocabulary continued… supplementary angles - two angles whose measures add up to 180 degrees. vertex of an angle – the common endpoint of the sides of an angle. Question: What is the difference in a linear pair and supplementary angles?

Last One… vertical angles - non-adjacent, non- overlapping congruent angles formed by two intersecting lines (They share a common vertex.)  1 and  3 are vertical angles.  2 and  4 are vertical angles

Let’s talk about angles… NOTE: If we name an angle by its vertex alone, there can only be one angle at that vertex…

Parts of an angle: vertex side angle measured in degrees

What do you remember?

Congruent Angles: Congruent angles do not necessarily have congruent side.

Types of angles: Which angles are linear pairs?

Naming Angles Why can’t we call it ⁄ E?

Types of angles:

Angle Addition Postulate

Examples

Types of Angles

Vertical Angles Theorem

Identify the Second Angle

Supplementary Angles

Complementary Angles

Examples