angles geometry 1.3a. state standard: lg.1.g.4geometry apply, with and without appropriate...
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ANGLES
Geometry 1.3a
State Standard:
LG.1.G.4 GeometryApply, 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.
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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:
vertexside
angle measuredin 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
Examples
Types of Angles
Vertical Angles Theorem
Identify the Second Angle
Supplementary Angles
Complementary Angles
Examples
Examples