Geometry Flashcards
3 Triangle Similarity Rules?
5 Triangle Congruence Rules?
Ratio of Similar Triangle Lengths ?
Scale Factor
All lengths (side lengths, altitude, median etc.) are in the same ratio
Ratio of Areas of Similar Triangles = ?
Square of the scale factor
What is the Angle Bisector theorem?
What is the Side Splitter theorem?
What is the Exterior Angle Theorem?
Exterior Angle = Sum of 2 opposite interior angles
What is the Right Triangle Altitude Theorem?
Altitude Square = Product of two segments of the hypotenuse
Medians of a Triangle divide each other in what ratio?
Angle in a Semi-circle is = ?
Cyclic Quadrilateral Opposite Angle Sum = ?
Angle at Center = ___ x Angle at Circumference
Angles in the same segment are ______ ?
30-60-90 Triangle side ratios?
45-45-90 Triangle side ratios?
Area of Equilaterlal triangle with side length a ?
Sum of Exterior angles of any Polygon
360 degrees
Triangle Inequality in terms of sum of 2 sides?
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
a + b > c,
b + c > a,
a + c >b
Triangle Inequality in terms of sum of 2 sides?
The difference between the lengths of any two sides must be less than the length of the third side:
a > c−b,
b > c−a,
c > a−b
Area of Rhombus or Kite?
Volume of Cone ?
Curved Surface of a Cone?
Volume and Surface of Cylinder?
Volume and Surface of a Sphere?
Faces, Vertices and Edges of a Polygon?
Volume of any kind of pyramid whose base area is A and height is h ?
What are the Ratio Formulas?
Area of Triangle of sides a, b, c length?
Use Herons Formula
Distance between 2 coordinate points (x1,y1) and (x2,y2) ?
How to calculate area of triangle given 3 coordinates?
(x1,y1), (x2,y2) and (x3,y3)?
(Hint: Shoelace)
Midpoint between 2 coordinates (x1,y1) and (x2,y2) ?
( x1 + x2)/2, (y1 + y2)/2
