Studied by 10 people
the formula for the area of a circle
r is the radius
the radius of circle
is half of the dimeter
to simplify a rotation in
rewrite it in fraction form
what does the pythagorean theorem state?
a2+b2=c2, where a and b are the lengths of the legs at a right triangle with a hypotenuse of length c.
the length of a line segment is?
the sum of the lengths of its parts
the formula for the circumference of a circle
c=2 3.14r where r is the length of the radius. the diameter of a circle is twice the length of the radius.
when given the circumference of c, it is:
efficient to calculate the length of the diameter d with the formula c=3.14d
the circumference of a circle is:
equal to 3.14 times the length of the diameter.
the diameter of a circle is:
a segment that passes through the center and has end points on the circle.
the midpoint formula
(xm,ym) = coordinates of the midpoint. (x1, y1,) = coordinates of the first point. (x2, y2) = coordinates of the second point.
when parallel lines are intersected by another line (called a transversal) the pairs of alternate interior angles are called?
congruent
the measures of the interior angles sum up to?
180
additional notes.
the tangent ratio is only defined for an acute angle of a right triangle. so it may be necessary to first draw the missing side to complete a right
additional notes.
the tangent of an acute angle is a right triangle is equal to the ratio of a the length of the leg opposite the angle to the length of the leg adjacent to the angle.
when parallel lines are cut by transversal, the following pairs of angles are formed:
congruent corresponding angles. congruent alternate interior angles. supplementary consecutive interior angles.
additional notes.
the diagonal of a rectangle divides the rectangle into two congruent right triangles.
additional notes.
use the Pythagorean theorem to find the length of a diagonal of a rectangle.
the equation of a circle in standard form:
(h, k) is the center and r is the radius
Sine =
Opposite/Hypotenuse
Cosine
Adjacent/Hypotenuse
Tangent
Opposite/Adjecent
Isosceles Triangle
an isosceles triangle is a triangle that has two sides of equal length.
Equilateral Triangle
an equilateral triangle is a triangle in which all three sides have the same length.
Right Angled Triangle
Right triangles are triangles in which one of the interior angles is 90 degrees, a right angle.
Rhombus
parallelogram with opposite equal acute angles
Quadrilateral
a four-sided figure.
Trapezoid
a quadrilateral with only one pair of parallel sides.
Parellelogram
a parallelogram is a simple quadrilateral with two pairs of parallel sides.
Pentagon
five sides and five angles
The formula for an area of a triangle
1/2**BaseHeight
Area of a Rectangle
Length*Width
Length x Width x Height
Length x Width x Height = Volume of Cuboid
The formula for the volume of a sphere
4/3piradius 3
Area of a trapezoid
1/2**(Base1+base2)Height
if you have coordinates that are Vertical and Horizontal
Horizontal and vertical shifts are independent (ie, do not affect each other), so it is possible to calculate the result of both translations in a single step.
Area of a triangle
= 1/2 x base x height
angles of a triangle add up to?
180
area of a rectangle
A=length*width
Volume of a cylinder
V = πr2h
Note 
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