PRAXIS 5164 EVALUATION EXAM 2026 QUESTIONS AND
ANSWERS RATED A+
✔✔recursive formula - ✔✔a1, a2, a3, ... an
an = a(n-1) + d
an = nth term
an-1 = n-1 term
d = common difference
✔✔pythagorean theorem - ✔✔a²+b²=c²
✔✔triangle inequality theorem - ✔✔The sum of the lengths of any two sides of a triangle
is greater than the length of the third side.
the third side must be larger than the difference between the other two sides
✔✔asa - ✔✔angle side angle
two angles must sum to less than 180
✔✔aas - ✔✔angle angle side
two angles must sum less than 180
✔✔sss - ✔✔side side side
two shortest sides must be longer than the third
✔✔sas - ✔✔side angle side
two shortest sides longer than third
✔✔sum of interior angles - ✔✔(n-2)180
n= number of sides
✔✔exterior angle - ✔✔180 - interior angle
✔✔Rotation 90 degrees clockwise - ✔✔(x,y) = (y,-x)
✔✔Rotation 90 degrees counterclockwise - ✔✔(x,y) = (-y,x)
✔✔rotation 180 degrees clockwise or counterclockwise - ✔✔(x,y) = (-x,-y)
✔✔rotation 270 degrees clockwise - ✔✔(x,y) = (-y,x)
✔✔rotation 270 degrees counterclockwise - ✔✔(x,y) = (y,-x)
✔✔distance formula - ✔✔d = √[( x₂ - x₁)² + (y₂ - y₁)²]
, ✔✔similar - ✔✔same shape, different size
✔✔congruent - ✔✔Having the same size and shape
✔✔area of circle - ✔✔A=πr²
✔✔circumference of circle - ✔✔C=2πr
✔✔area of square - ✔✔A=s²
✔✔area of rectangle - ✔✔A=lw
✔✔area of rhombus - ✔✔A=1/2d1d2
✔✔area of triangle - ✔✔A=1/2bh
✔✔area of parallelogram - ✔✔A=bh
✔✔area of trapezoid - ✔✔A=1/2h(b1+b2)
✔✔area of regular polygon - ✔✔A=1/2ap
a=apothem
p=perimeter
✔✔perimeter of square - ✔✔P=4s
✔✔perimeter of rectangle - ✔✔P=2l+2w
✔✔perimeter of rhombus - ✔✔P=4s
✔✔perimeter of triangle - ✔✔P=a+b+c
✔✔perimeter of parrellogram - ✔✔P=2(l+w)
✔✔perimeter of trapezoid - ✔✔P=a+b+c+d
✔✔perimeter of regular polygon - ✔✔#sides x side lengths
✔✔surface area of cube - ✔✔6s²
✔✔surface area of rectangular prism - ✔✔SA=2lw+2lh+2wh
✔✔surface area of prism - ✔✔Ph+2B
ANSWERS RATED A+
✔✔recursive formula - ✔✔a1, a2, a3, ... an
an = a(n-1) + d
an = nth term
an-1 = n-1 term
d = common difference
✔✔pythagorean theorem - ✔✔a²+b²=c²
✔✔triangle inequality theorem - ✔✔The sum of the lengths of any two sides of a triangle
is greater than the length of the third side.
the third side must be larger than the difference between the other two sides
✔✔asa - ✔✔angle side angle
two angles must sum to less than 180
✔✔aas - ✔✔angle angle side
two angles must sum less than 180
✔✔sss - ✔✔side side side
two shortest sides must be longer than the third
✔✔sas - ✔✔side angle side
two shortest sides longer than third
✔✔sum of interior angles - ✔✔(n-2)180
n= number of sides
✔✔exterior angle - ✔✔180 - interior angle
✔✔Rotation 90 degrees clockwise - ✔✔(x,y) = (y,-x)
✔✔Rotation 90 degrees counterclockwise - ✔✔(x,y) = (-y,x)
✔✔rotation 180 degrees clockwise or counterclockwise - ✔✔(x,y) = (-x,-y)
✔✔rotation 270 degrees clockwise - ✔✔(x,y) = (-y,x)
✔✔rotation 270 degrees counterclockwise - ✔✔(x,y) = (y,-x)
✔✔distance formula - ✔✔d = √[( x₂ - x₁)² + (y₂ - y₁)²]
, ✔✔similar - ✔✔same shape, different size
✔✔congruent - ✔✔Having the same size and shape
✔✔area of circle - ✔✔A=πr²
✔✔circumference of circle - ✔✔C=2πr
✔✔area of square - ✔✔A=s²
✔✔area of rectangle - ✔✔A=lw
✔✔area of rhombus - ✔✔A=1/2d1d2
✔✔area of triangle - ✔✔A=1/2bh
✔✔area of parallelogram - ✔✔A=bh
✔✔area of trapezoid - ✔✔A=1/2h(b1+b2)
✔✔area of regular polygon - ✔✔A=1/2ap
a=apothem
p=perimeter
✔✔perimeter of square - ✔✔P=4s
✔✔perimeter of rectangle - ✔✔P=2l+2w
✔✔perimeter of rhombus - ✔✔P=4s
✔✔perimeter of triangle - ✔✔P=a+b+c
✔✔perimeter of parrellogram - ✔✔P=2(l+w)
✔✔perimeter of trapezoid - ✔✔P=a+b+c+d
✔✔perimeter of regular polygon - ✔✔#sides x side lengths
✔✔surface area of cube - ✔✔6s²
✔✔surface area of rectangular prism - ✔✔SA=2lw+2lh+2wh
✔✔surface area of prism - ✔✔Ph+2B
