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Geometry
ACT Plane Geometry
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Some geometry terms and coordinates for ACT math prep.
Terms in this set (32)
Slope-Intercept
y = mx+b
sine ratio
opposite ÷ hypotenuse
cosine ratio
adjacent ÷ hypotenuse
tangent ratio
opposite ÷ adjacent
Slope intercept form
y=mx+b
Point-Slope form
y-y₁= m(x - x₁)
Undefined (slope)
When there is a vertical line that has different y points, but the same x point
Zero (slope)
When there is a horizontal line that has different x points, but the same y point
Graphing < or > on a coordinate plane
dotted line
Graphing ≥ or ≤ on a coordinate plane
solid line
Graphing ≥ or > on a coordinate plane
shade upwards or to the right
Graphing ≤ or < on a coordinate plane
shade downwards or to the left
Area of a circle
Πr²
Area of a square
s², where s = length of a side
Area of a triangle
½(base x height) [or (base x height)÷2]
Area of a trapezoid
½(b₁ +b₂) x h [or (b₁ +b₂) x h÷2]
Perimeter of a rectangle
2Length + 2width [or (length + width) x 2]
Perimeter of a square
4s (where s = length of a side)
Area of rectangle, square, parallelogram
A = lw or (length x width)
Circumference (perimeter) of a circle
C = ∏d OR C = 2∏r
Circle
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Radius (Radii)
A segment connecting the center of a circle to any point on the circle (= r)
Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
Tangent
a LINE that touches the circle at EXACTLY ONE POINT
VOLUME of PRISM (cube etc.)
V = lwh or (length x width x height)
VOLUME of CYLINDER
V = ∏r²h
Perimeter
Distance around any object
Pythagorean Theorem
c² = a² + b² where c is the hypotenuse of the triangle and a and b are 2 sides of the triangle
Equilateral Triangle
3 sides have the same length
Isosceles Triangle
2 sides have the same length
Complete arc of a circle
360 degrees
Degrees of a straight line
180 degrees
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