Geometry Test #7

Question 1

r (y-axis)

Answer 1

(-x,y)

Question 2

r (x-axis)

Answer 2

(x,-y)

Question 3

r (y=x)

Answer 3

(y,x)

Question 4

r (y=-x)

Answer 4

(-y,-x)

Question 5

r (origin)

Answer 5

(-x,-y)

Question 6

R (O,180)

Answer 6

(-x,-y)

Question 7

R (O,90)

Answer 7

(-y,x)

Question 8

R (O,270)

Answer 8

(y,-x)

Question 9

R (O,-90)

Answer 9

(y,-x)

Question 10

T (a,b)

Answer 10

(x+a,y+b)

Question 11

D (O,k)

Answer 11

(kx,ky)

Question 12

Circle Equation

Answer 12

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

Question 13

X-Value

Answer 13

x1+(r1/(r1+r2))(Δx)

Question 14

Y-Value

Answer 14

y1+(r1/(r1+r2))(Δy)

Question 15

Distance

Answer 15

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

Question 16

Slope

Answer 16

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

Question 17

Midpoint

Answer 17

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

Question 18

A quadrilateral is a parallelogram

Answer 18

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

Question 19

A quadrilateral is a trapezoid

Answer 19

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

Question 20

A quadrilateral is an isosceles trapezoid

Answer 20

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

Question 21

A quadrilateral is a rectangle

Answer 21

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

Question 22

A quadrilateral is a rhombus

Answer 22

Distance formula four times - it is equilateral

Question 23

A quadrilateral is a square

Answer 23

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

Question 24

Dilations

Answer 24

Center of Dilation, Scale Factor

Question 25

Translations

Answer 25

Distance (magnitude) and direction

Question 26

Line Reflections

Answer 26

name/equation of the line of reflection