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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 on theme: "ANGLES Geometry 1.3a. State Standard: LG.1.G.4Geometry Apply, with and without appropriate technology, definitions, theorems, properties, and postulates."— Presentation transcript:

1 ANGLES Geometry 1.3a

2 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.

3 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

4 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 .

5 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°.

6 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?

7 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. 1 2 3 4

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

9 Parts of an angle: vertex side angle measured in degrees

10 What do you remember?

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

12 Types of angles: Which angles are linear pairs?

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

14 Types of angles:

15 Angle Addition Postulate

16 Examples

17

18 Types of Angles

19 Vertical Angles Theorem

20 Identify the Second Angle

21 Supplementary Angles

22 Complementary Angles

23 Examples

24


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