April 11 ACT Prep
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23 Terms
how to add/subtract matrices
simple arithmetic, add straight through the entire matrix
how to multiply matrices
multiply each row by each column
how to find the determinant of a matrix
multiply swoop down minus swoop up
basic vector identity in both standard and component form (which one is x, which is y)
v = <a,b>; a is x (left and right), B is y (up and down) left and down are negative.
how to add vectors
straight across, simple arithmetic
how to get from individual vectors to line segment vectors (EX: D= (x,y); E= (x,y); what is segment DE)
subtract D - E to get line segment DE
angles across from each other are
equal
angles next to each other are
supplementary (x + y = 180)
alternate interior angles are
equal
interior angles on the same side are
supplementary (x + y = 180)
corresponding angles (i.e. angles on the same side, one outside and one inside) are
equal
how to find the sum of interior angles (degree number)
180 (# of sides - 2)
area formula of a circle
a = (pie)r²
circumference formula of a circle
C = 2(pie)r
area formula of a trapezoid
a = ½ (b1 + b2) h
cylinder volume formula
v = (pie)r²h
when you change units in a problem, you MUST do what before solving
convert the units first (feet to yards, inches to feet, etc)
volume formula of three-dimensional solids
V = B times h (B is the AREA of the base, h is the height)
45-45-90 triangles side lengths
hypotenuse is x(sq rt)2, other two sides are just x
30-60-90 triangles side lengths
smallest side (across from 30) is x, large side (across from 60) is x(sq rt)3, hypotenuse is 2x
similar triangles (same shape, different size) properties
angles are IDENTICAL, side lengths are proportional
isosceles vs scalene triangle
isosceles triangle is where two sides and two angles are equal, scalene triangle is where everything is different.
how to see if you can make a triangle when given side lengths
the two shorter sides of a triangle, a and b, must be GREATER than the longest side of a triangle, c. (a + b > c)
