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Coordinate Geometry (Unit 3 Review)

Total questions: 35

Worksheet time: 2hrs 45mins

Name
Class
Date
1.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
2.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
3.
Find the area:
a)
40 yd
b)
40 yd2
c)
80 yd2
d)
18 yd2
4.
Find the area?
a)
15 in²
b)
30 in²
c)
15 in
d)
 30 in
5.
a)
225 mm2
b)
225 mm
c)
175 mm2
d)
125 mm2
6.

Assume two ducks start from points A(-4,4) and B(10,-2) and fly at the same speed. How far will each duck fly (to the nearest mile) before they collide?

a)

8 miles

b)

10 miles

c)

38 miles

d)

40 miles

7.
What shape has 4 equal sides?
a)
triangle
b)
square
c)
rectangle
d)
trapezoid
8.
Which polygon has 2 sets of parallel sides?
a)
triangle 
b)
hexagon
c)
parallelogram
d)
trapezoid
9.
What is the formula for the area of a rectangle?
a)
B x H
b)
side x side
c)
B x H / 2
d)
B + H
10.
What is the formula for the area of a triangle?
a)
(B x H) / 2
b)
B x H
c)
1/4 (B x H)
d)
(B + H) / 2
11.
Area is always in ____ units.
a)
square
b)
cubic
c)
quadratic
d)
linear
12.
a)
Kite
b)
Trapezoid
c)
Circle
d)
Rhombus
13.

What formula would you use to show lengths are equal?

a)

Slope Formula

b)

Distance Formula

c)

Midpoint Formula

14.

What formula is shown?

a)

slope

b)

distance

c)

midpoint

d)

Pythagorean Theorm

15.
Find the distance between the points:
(5,3) (2,3)
a)
3
b)
7
c)
10
16.
The diagonals of a rectangle are
a)
parallel
b)
congruent
c)
perpendicular
d)
not congruent
17.

The diagonals of a rhombus are _________.

a)

Perpendicular and bisected

b)

Perpendicular

c)

Bisected

d)

Congruent

18.
What is the distance of the point (-3, -4) from x axis 
a)
3
b)
4
c)
7
d)
12
19.
The distance between the points A(0 ,6) and B(0 , -2) is _____
a)
6
b)
4
c)
8
d)
16
20.
Find the value of x.
a)
50
b)
10
c)
4
d)
80
21.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

22.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

23.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
24.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
25.
The Pythagorean Theorem is
a2 + b+ c2
a)
false
b)
true
26.

Find the length of the missing side

a)

48

b)

108

c)

83.6

d)

72

27.

Given the points A(-1,2) and B(7,14), find the coordinates of the Point P on the directed line segment AB that partitions AB in the ratio 1:3.


The coordinates of the point P are:

a)

(1,5)

b)

(0,4)

c)

(3, 1)

d)

(-1, 1)

28.

(show work) Find the coordinates of P so that P partitions segment AB in the ratio 5:1 with A(2, 4) and B(8, 10).

a)

(7,9)

b)

(9,7)

c)

(-3,9)

d)

(5,1)

29.

Given the points A(-2 4) and B(7, -2), find the coordinates of the point P on directed line segment AB in the ratio 1:2.


The coordinates for point P are:

a)

(0, 1)

b)

(0, -1)

c)

(1,2)

d)

(2,1)

30.

Find the point that is 3/4 of the distance from Y to X.

a)

(-6, -2)

b)

(2, -4)

c)

(-2,-3)

d)

(6,-5)

31.

Find the point that is 2/5 of the distance from C to D.

a)

(-1, 2)

b)

(0, 0)

32.

What is the value of used K to find the coordinates of a point that partitions a segment into a ratio of 2:7?

a)

k= 2/9

b)

k= 2/7

c)

k= 7/2

d)

NA

33.
Given the points A(-3,-5) and B(5,0), find the coordinates of the point P on directed line segment AB that partitions AB in a the ratio 2:3. 
a)
(0.5,-2.2)
b)
(0.2,-2.4)
c)
(1/5, -5/2)
d)
(0,-2)
34.

Given directed line segment AB, where A(0,0) and B(18,0). Determine the point P that partitions the segment into a 5:1 ratio.

a)

P(3,0)

b)

P(6,0)

c)

P(12,0)

d)

P(15,0)

35.

Determine the point P that partitions line segment AB, A(-6,8) B(1,-20) into a 3:4 ratio.

a)

(-4,0)

b)

(-3, -4)

c)

(-2, -8)

d)

(-1, -12)