Geometry Quiz #1

Question 1

Circle Equation

Answer 1

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

Question 2

X-Value

Answer 2

x1+(r1/(r1+r2))(Δx)

Question 3

Y-Value

Answer 3

y1+(r1/(r1+r2))(Δy)

Question 4

Distance

Answer 4

d=√(x2-x1)^2 + (y2-y1)^2
d=√(Δx)^2 + (Δy)^2

Question 5

Slope

Answer 5

y=mx+b
(y-y1)=m(x-x1)
Ax+By=C

Question 6

Midpoint

Answer 6

(((x1+x2)/2) , ((y1+y2)/2))

Question 7

A quadrilateral is a parallelogram

Answer 7

Use the slope formula four times - since the slopes of both pairs of opposite sides are equal…

Question 8

A quadrilateral is a trapezoid

Answer 8

Use the slope formula four times - one pair of opposite sides has to be parallel, and the other pair isn’t

Question 9

A quadrilateral is an isosceles trapezoid

Answer 9

After proving the quadrilateral is a trapezoid, use the distance formula to show that the trapezoid’s nonparallel sides are equal.

Question 10

A quadrilateral is a rectangle

Answer 10

Use the slope formula four times - since the slopes of each pair of adjacent sides are perpendicular…

Question 11

A quadrilateral is a rhombus

Answer 11

Distance formula four times - it is equilateral

Question 12

A quadrilateral is a square

Answer 12

Prove it is a rectangle, and then find the slopes of the two diagonals - proving they’re perpendicular