Plane Geometry

Basic Concepts

·          Points

·          Straight Lines

·          Line Segments

·          Ruler Postulate

·          Midpoint of a Segment and Bisector

·          Rays

·          Types of Lines

1.       Intersecting Lines

2.       Perpendicular Lines

3.       Parallel Lines

4.       Transversal

5.       Parallel Lines Cut by Transversal

·          Angles

1.       Protractor

2.       Angle Addition Postulate

3.       Congruent Angles

4.       Straight Angle

5.       Right Angle

6.       Acute Angle

7.       Obtuse Angle

8.       Pairs of Angles

9.       Adjacent Angles and Linear Pair

10.    Complementary Angles

11.    Supplementary Angles

12.    Vertical Angles

13.    Angle Bisector

·          Symmetry

1.       Line Symmetry

2.       Point Symmetry

3.       Rotational Symmetry

4.       Translational Symmetry

5.       Glide-Reflectional Symmetry

Triangles

·          Construction of A Triangle

·          Types by Sides

1.       Equilateral Triangles

2.       Isosceles Triangles

3.       Scalene Triangles

·          Types by Angles

1.       Right Triangles

2.       Obtuse Triangles

3.       Acute Triangles

4.       Equiangular Triangles

·          Congruence

·          Similarity

·          Similar Triangles

Polygons

·          Quadrilaterals

·          Types of Quadrilaterals

1.       Parallelogram

2.       Rectangle

3.       Rhombus

4.       Square

5.       Trapezoid

·          Perimeter

·          Area

·          Area of A Square or A Rectangle

·          Area of A Parallelogram

·          Area of A Triangle

·          Area of A Trapezoid

·          Pythagorean Theorem

·          Explanations of Pythagorean Theorem

Circles

·          Radius, Diameter, and Chord

·          Locating the Center of a Circle

·          Circumference and Circumference/Diameter Ratio

·          Area of a Circle

·          Central Angles and Arc

·          Inscribed Angles

·          Concentric Circles

·          Tangents to a Circle