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Lessons 
1. Basics
2. Deductive Reasoning
• 2.1 If-Then Statements
• 2.2 How To Prove Theorems • 2.3 Pairs Of Angles • 2.4 Perpendicular Lines
3 - Parallel lines
4 - Congruent Triangles
5 - Quadrilaterals
6 - Inequalities
7 - Similar Polygon
8 - Rt. Triangles
9 - Circles
10 - Constructions
• 10.1 Construction
• 10.2 Perpendicular Lines • 10.3 Parallel Lines • 10.4 Concurrent Lines • 10.5 Circles
11 - Areas of 2D objects
12 - Areas and Volumes
13 - Coordinates
14 - Reflection/Rotation |
Theorem 3-10 The sum of the measures of the angles of a triangle is 180
Angle 1 + Angle 2 + Angle 3 = 180 Corollary I If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent.
/ 1 is congruent to / A / 2 is congruent to / B Therefore, / 3 is congruent to / C
Corollary II Each angle of an equiangular triangle has measure 60.
Corollary III In a triangle, there can be at most one right angle or obtuse angle. Corollary IV The acute angles of a right triangle are complementary.
Angle 1 + Angle 2 = 90
Theorem 3-11 The measure of an exterior angle of a triangle equals the sum of the measures of two remote (non-adjacent) interior angles. Angle 2 + Angle 3 = Angle 4
Theorem 3-12 The sum of the measures of the angles of a polygon with n sides is (n-2)180. Find the measure of each interior angle of a regular hexagon (6 sides)
(n-2)180 = (6-2)180= 720 720/6=120 Each interior angle = 120
Theorem 3-13 The sum of the measures of the exterior angles of any convex polygon, one angle at each vertex, is 360 Find the measure of each interior angle of a regular hexagon (6 sides)
Each exterior angle has measure 360/6= 60 Each interior angle has measure 180-60= 120 Each interior angle = 120
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Quickie Math Copyright (c) 2000 Team C006354 |
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