STEM 1st Semester Final review

standard equation of a circle?

(x-h)^2 + (y-k)^2 = r^2

midpoint formula

(x₁+x₂)/2, (y₁+y₂)/2

the product of the slope of two perpendicular lines is always..

-1

volume formula for a sphere

4/3πr^3

Definition of a square

A parallelogram with four congruent sides and four right angles.

Definition of a rectangle

A parallelogram with four right angles

Definition of a trapezoid

A quadrilateral with exactly one pair of parallel sides

Area of a circle

A=πr²

Circumference Formula

C=2 pi r

surface area formula for a cube

SA=6s^2

volume formula of a cone

V=1/3(π)(r)²(h)

volume formula for a cube

V=s^3

Volume formula for a cylinder

V=πr²h

Definition of a rhombus

a parallelogram with 4 congruent sides

law of cosines formula

a²=b²+c²-2(b)(c)Cos(A)

distance formula

d = √[( x₂ - x₁)² + (y₂ - y₁)²]

If two triangles are similar, then they are congruent

false

all acute triangles are similar

false

all isosceles triangles are similar

false

all right triangles are similar

false

if two pairs of corresponding sides are proportional, then the triangles are similar

false

The slopes of two perpendicular lines are..

opposite reciprocals

the slope of two parallel lines are..

the same

if two pairs of corresponding angles are congruent, then the triangles are similar

true

if two triangles are congruent, then they are similar

true