Geometry
Geometry
Geometry is the branch of mathematics that studies shapes of objects. Geo means “earth” and metry means “measure” so geometry literally means “earth measure”. We will be studying the following this semester:
- Lines-Parallel and Perpendicular
- Triangles
- Polygons
- Parallelograms
- Transformations
- Similarity
- Trigonometry
- Circles
Vocab List:
- Collinear points
- Coplanar lines
- Skew lines
- Distance Formula
- Midpoint/Midpoint Formula
- Transformation
- Rigid Motion
- Bisector
- Point-Slope Form
- Circumcenter
- Incenter
- Median
- Centroid
- Orthocenter
- Altitude
Chapter Two »
Vocab List:
- Counterexample
- Conditional Statement
- Hypothesis
- Conclusion
- Supplementary Angles
- Complementary Angles
- Adjacent Angles
- Vertical Angles
- Linear Pair
- Postulate
- Theorem
- Reflexive Property
- Transitive Property
- Substitution Property
- Converse
Chapter Three »
Vocab List:
- Area
- Perimeter
- Area and Perimeter Formulas of a Triangle
- Area and Perimeter Formulas of a Parallelogram
- Area and Perimeter Formulas of a Trapezoid
- Bases of the Trapezoid
- Legs of the Trapezoid
- Composite Figure
Chapter Four »
Vocab List:
- Disc
- Prisms
- Cylinders
- Cavalleri’s Principle
- Spheres
- Hemisphere
- Annulus
Chapter Five »
Vocab List:
- Remote Interior Angles
- Triangle Sum Theorem
- Exterior Angle Theorem
- Exterior Angle Inequality Theorem
- Triangle Inequality Theorem
- 45-45-90 Triangle Theorem
- 30-60-90 Triangle Theorem
Chapter Six »
Vocab List:
- Similar Triangles
- Included
- Geometric Mean
- Angle-Angle Similarity
- Side-Side-Side Similarity
- Side-Angle-Side Similarity
- Triangle Proportionality Theorem
- Triangle Proportionality Converse
- Midsegment Theorem
- Angle Bisector/Proportional Side Theorem
- Right Triangle/ Altitude Similarity Theorem
- Right Triangle Altitude/Hypotenuse
- Right Triangle Altitude Leg Theorem
Chapter Seven »
Vocab List:
- Congruent Triangles
- Side-Side-Side Congruence Theorem
- Angle-Side-Angle Congruence Theorem
- Side-Angle-Side Congruence Theorem
- Angle-Angle-Side Congruence Theorem
Chapter Eight »
Vocab List:
- Hypotenuse-Leg Congruence Theorem
- CPCTC
- Isosceles Triangle Base Angle Theorem
- Isosceles Triangle Base Angle Converse
- Isosceles Triangle Base Theorem
- Isosceles Triangle Vertex Angle Theorem
- Isosceles Triangle Perpendicular Bisector Theorem
- Isosceles Triangle Altitude to Congruent Sides Theorem
- Isosceles Triangle Angle Biscetor to Congruent Sides
- Vertex Angle
- Contrapositive
- Indirect Proof
- Hinge Theorem
- Hinge Converse
Chapter Nine »
Vocab List:
- Reference Angle
- Opposite Side
- Adjacent Side
- Tangent
- Cotangent
- Sine
- Cosecant
- Cosine
- Secant
- Law of Sines
- Law of Cosines
Chapter Ten »
Vocab List:
- Square
- Rectangle
- Parallelogram
- Rhombus
- Parallelogram/Congruent Parallel Side Theorem
- Kite
- Trapezoid/Isosceles Trapezoid
- Trapezoid Midsegment Theorem
- Biconditional Statement
- Angles of Polygons