I ) the equation

(V 1)? i (y t2) j •

lc tliC (5, l) and (G, 7)

tiiidpoint,

I)) find the distance.

(lo-5) f

J':nd the coordinates of the cther

cndpojnt of a wvr•.cnt w:th an erdpznt

of ( •Z, Z) and a rndrx-nnt (8, 3).

-Brandyand landy are in the pool playing a game of

Matvo Polo. Brandy switus 10 south and 7 ft east of base.

Mandy swnus G north and 5 ft west fronl where they started

together In the nuddle of the pool. How far apart are Brandy

and Mandy?

(-12) L + (b) z

20

G) Find the area and perimeter of the figure.

214)

c(sru)

Perime+trt

Dr' a3.Dq unl+'

8) Write an equa • n of the line that passes through (-3, 4) and

is parallel to y — —3

g-yj= Fill—I')

bJ-L-lz

10) Find a point P on the segment with endpoints A(-l, -3)

and B(7, I) that partitions it in a ratio.

Lt(3/q) -3

A (-11-3)3

5) e mine whether Point A(-5, 8) lies on the crrcle whoe

center is Point C(I, 2) & which contams the Point P (7, -4).

CPS Cfr-: J .

7) Given that a parallelogratn's sides are parallel, preve the

following is a parallelogram. Ab-q

. same sajne

o ram.

c (4-3)

6-5) a +

Sides Kaye theand AV and hdvQthe u adrilahoal pa alleJ-7

9) Wr e an equation of the line that passes through (5 -3) andis perpendicular toy = -5/2x+ t.

I l) Find a point T on the segrnent with endpoints C(-4, -G)and D(2, 3) that partitions it in a ratio.

sidewalk IS bcjng constructed around the12) A cnvuiar

renntctet• of a local park. A brick pathway WIII bc added

through the dianteter of the ctrvle as shown on the coordinateat the

plane below, and a tree will be planted in the sidewalk the tree

center of the circle. What arc thc coordinates where

will be planted?

— I q +10

14) Given the points A(- I and B(5,l l), find the coordinatesof the point P on directed linc segrnent@ that partitions AB inthe ratio 1:2.

a) (1,5)

b) (2,6.5)c) (6,9)d) (3,4.5)

oyc

16) The equation of a circle is x + + (y + tvpresents the equation? C

4

2

2

o.

4

2

x

•3

= 4. Which

r z

2

gat

4

2

2

4

1 3) Which is the equation of the Circle shown bcJoV?

b) 9

c

9

Cenkr.• 1-310)

4

15) Which point is on a circle with a center of (3,-9) and a

radius of 5?

a) (-6,5) ( +3 F +-(ätq ) 2 = 2-nb) (-1,G) (21-3 ) 25

c) (1,6) ( 1— + (14+9)

1 7) Darcy used a coordinate grid, shown below, to sketchthe location of some important buildings in her town. Eachblock represents 1 square mile. If Darcy could travel in astraight line from her house to school, how many mileswould she travel?

Park

.1 •hool

Library

A-2-!1—2 Post

OfficeItouse

a) 5.1 miles c 6.3 milesb) 8.2 miles 9.1 miles

O) Find the center and radius of the

IS) The line p is represented by the equation

y = 4x + 1. What is the equation of the line that

is perpendicular to the line p and passes through

the point (8,3)? rnöl/q

2 1) Paralle ogrant ABCD has vertices as shown

19) Find the center and radius of the

ircle with the equation given by:

xz + yz — 10X— 11 = O

Ccn+er.• 15/0)

O (5,0)b) (0,5)

c) (-5,0)

d) (0,-5)

irclc with thc equation given by:

8xz + u — 16x — + 24 = o

Cen }-cV.• ( 11 Z)

22) A factory uses the pattern show to cut circles out of sheet metal

to make the bottoms of buckets.

2} cubs In

Ctn C 1 13)24 6 unwaua•u

—4

Which equation would be used in proving the diagonals ofof theIf the center of the circle is C, what is the equation of the edge

the parallelogratn bisect each other?circular pattern?

b)

(1 + + (0 —

23) Triangle ABC has vertices as shown. What is the area of the

triangle? Oast :

-4 2 4 x Ht15ht:

-2

a) Esquare units A. _Lbh2,b 12 square units

c) agæsquare units

d) NTTsquare units

(x-

_ + (y—

24) lid D(O, 1).

= 25

= 25

ABCD has vertices A(-l, 3), B(3, 5), C(4, 3)

a) What should be the process for finding the midpointofAC? ftdd +vqeFhtr, a ivjac

b z,bf Z

and dd q I S dc

b) What should be the process for finding the midpointof BD? frdd x l s drudeVq

add Z

have same mVppi n +therefore, le diagonals each Other and thefigure is a a

25) Circle C has a center of (—2, 3) and a radius of 4.

Determine if point (-4, 6) lies on circle C.

13411, NV

( inqdc ctKdf)

ZG) Quadrilateral ABCD has vertices A(—l, 3), B(3, 3), C(4, 3),

a) What should be the process for findin the distance of

AC?

b) What should be the process for finding the distance of

27) Which information is needed to show that a parallelogram is a

parallelogram? nals bl$tc+ (midpoirp)

• rectangle?d b) The diagonals are C because a

they have

rhombus? Ghd the same le The fi ure is

square? diagonalS biscæpaje? and L diagonals, so

c n

28) An equation of line a is y = - l/zx — 2 29) nd

Which a radius

is of an

3?equation for the circle with a center at (—2, 3)

+ qa-lpyrq

—O

a) x 2 + y 2 + 4x — 6y 22 O

Ä2x 2 + 2y 2 + 3x - 3y +4=0

c x 2 + y 2 + 4x — 6y +4=0

3x 2 + 3y 2 + 4x — 6y+4=0

Which equation is an equation of the line that is perpendicular to

ine a and passes through the point (—4, O)?

y = - -

t/zx + 2 opp recupvraI/zx + 8

2x-2d) 2x+8

(K ELI)+ a