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Coordinate Geometry

Total questions: 76

Worksheet time: 3hrs 2mins

Name
Class
Date
1.

Which formula is shown?

a)

Slope

b)

Distance

c)

Midpoint

2.

What formula would you use to show lengths are equal?

a)

Slope Formula

b)

Distance Formula

c)

Midpoint Formula

3.

Which formula would you use to show two lines are perpendicular?

a)

Slope

b)

Midpoint

c)

Distance

4.

What is the formula for midpoint?

a)
b)
c)
d)

a2+b2=c2

5.

What formula would you use to show two line bisect each other?

a)
b)
c)
6.

If I want to show two lines are parallel what formula do I use?

a)

Slope

b)

Distance

c)

Midpoint

d)

Pythagorean Theorm

7.

What formula is shown?

a)

slope

b)

distance

c)

midpoint

d)

Pythagorean Theorm

8.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
9.
What is the midpoint between (-4,4) and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
10.
Find the distance between the points:
(5,3) (2,3)
a)
3
b)
7
c)
10
11.
Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5)     
a)
(0, -1)
b)
(6, 1)
c)
(1, 6)
d)
(0, 1)
12.

What formula would you use to prove if the opposite sides of figure ABCD is parallel?

a)

slope

b)

distance

c)

midpoint

d)

Pythagorean Theorm

13.

Are the opposite sides of figure ABCD parallel?

a)

No, the distance of BC is 5 and the distance of AD is √40

b)

Yes, both AB & CD have a distance of 5 and BC & AD have a distance of 10

c)

No, the slope of AB is -3/4 and the slope of CD is 5/4

d)

Yes, both AB & CD have a slope of -3/4 and BC & AD have a slope of 4/3

14.

What is the distance of CD?

a)

10

b)

√13

c)

5

d)

4√5

15.
If ABCD is a parallelogram, what is the length of BD? 
a)
10
b)
11
c)
7
d)
5
16.
Which is NOT a property of a parallelogram?
a)
Diagonals bisect each other
b)
Diagonals are congruent
c)
Both pairs of opposite sides are parallel
d)
Both pairs of opposite angles are congruent
17.
The opposite angles of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
18.
In a parallelogram, consecutive angles are __________.
a)
congruent
b)
supplementary
c)
corresponding
d)
parallel
19.
In a parallelogram, diagonals are __________.
a)
perpendicular
b)
bisected
c)
congruent
d)
parallel
20.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
21.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
22.
Parallelograms are ...
a)
triangles
b)
quadrilaterals
c)
pentagons
d)
hexagons
23.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
1
c)
5
d)
2
24.
Which is true about parallelograms?
a)
Opposite sides are congruent
b)
Diagonals are congruent
c)
Consecutive angles are congruent
d)
The interior angles add to 180 degrees
25.
______ parallelograms are quadrilaterals.
a)
All
b)
Some
c)
No
26.

ABCD is a parallelogram. Find the value of x. (Remember: Consecutive angles are supplementary.)

a)

11

b)

12

c)

13

d)

14

27.

The figure PQRS is a parallelogram. Find the value of y. (Remember: Opposite sides are equal)

a)

288\frac{28}{8}

b)

228\frac{22}{8}

c)

828\frac{8}{28}

d)

822\frac{8}{22}

28.
Find the area of the parallelogram.
a)
12 units2
b)
10 units2
c)
13 units2
d)
6 units2
29.
What is the area of the rectangle?
a)
28 units squared
b)
45 units squared
c)
33 units squared
d)
19 units squared
30.
What is the area of the figure? 
a)
11 square units
b)
15 square units
c)
25 square units
d)
30 square units
31.

Find the exact area of  ΔRST\Delta RST  

a)

 93+159\sqrt{3}+15  

b)

 95+159\sqrt{5}+15  

c)

45

d)

90

32.
What is the area of this figure?
a)
7 units2
b)
15 units2
c)
7 1/2 units2
d)
15 1/2 units2
33.

What are the lengths of the rectangles?

a)

√17 & √71

b)

6 & 3

c)

√13 & √52

d)

√15 & √63

34.

What are the lengths of the triangle's sides?

a)

6, 7, & 8

b)

5, 5, & √7

c)

5, 5, & √10

d)

3, 4, & 5

35.
Approximately, what is the area of the circle?
a)
9.42 sq. units
b)
18.84 sq. units
c)
15.7 sq. units
d)
28.26 sq. units
36.

What type of polygon is this?

a)

concave

b)

convex

37.

What type of polygon is this?

a)

concave

b)

convex

38.
Is the figure a polygon? Is it convex or concave?
a)
Not a polygon, convex
b)
Polygon, convex
c)
Not a polygon
d)
Polygon, concave
39.

This polygon is classified as ....

a)

a hexagon

b)

a heptagon

c)

an octogon

d)

a nonagon

40.
Polygon or non-polygon?
a)
Polygon
b)
Non-Polygon
41.
Is the figure a polygon? Is it convex or concave?
a)
Not a polygon, convex
b)
Polygon, convex
c)
Not a polygon
d)
Polygon, concave
42.
What is the distance between (-5, 5) and (1, -2)
a)
9.2
b)
12.6
c)
14
d)
7.8
43.
What is the midpoint between (8, -3) and (2, 5)
a)
(5, 1)
b)
(10, 2)
c)
(-5, -1)
d)
(3, 4)
44.
Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?
a)
(1,5)
b)
(2,10)
c)
(7,2)
d)
(1,2)
45.
Find the distance between (-9, -1) and (-2, -6).Round to the nearest tenth.
a)
8.6
b)
12.1
c)
9.9
d)
13.0
46.
Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5) 
a)
(0, -1)
b)
(6, 1)
c)
(1, 6)
d)
(0, 1)
47.
Find the endpoint of the segment with the endpoint of  (-4, 5) and midpoint of (7, -9) 
a)
(18, 13)
b)
(13, 18)
c)
(11,4)
d)
(1.5, -2)
48.
What's the distance between (0,0) and (3,4)?
a)
7
b)
49
c)
5
d)
25
49.
The diagonals of a rectangle are
a)
parallel
b)
congruent
c)
perpendicular
d)
not congruent
50.

The diagonals of a rhombus are _________.

a)

Perpendicular and bisected

b)

Perpendicular

c)

Bisected

d)

Congruent

51.

What formula would you use to prove if the opposite sides of figure ABCD is parallel?

a)

slope

b)

distance

c)

midpoint

d)

Pythagorean Theorm

52.

Are the opposite sides of figure ABCD parallel?

a)

No, the distance of BC is 5 and the distance of AD is √40

b)

Yes, both AB & CD have a distance of 5 and BC & AD have a distance of 10

c)

No, the slope of AB is -3/4 and the slope of CD is 5/4

d)

Yes, both AB & CD have a slope of -3/4 and BC & AD have a slope of 4/3

53.
How do you show diagonals are perpendicular?
a)
They would have opposite reciprocal slopes
b)
They would have the same slope
c)
They would have the same midpoint
d)
They would look perpendicular
54.

What formula would you use to show segments are congruent?

a)

Slope Formula

b)

Distance Formula

c)

Midpoint Formula

55.

Which special quadrilaterals have congruent diagonals?

a)

Rectangle and parallelogram

b)

Rectangle and square

c)

Rhombus and square

d)

Kite and rhombus

56.

Parallelograms, recatangles, rhombus and squares ALL share what properties of diagonals?

a)

congruent

b)

perpendicular

c)

bisected

d)

parallel

57.

Which special quadrilaterals have perpendicular diagonals?

a)

parallelogram and rectangle

b)

square and rhombus

c)

rectangle and square

d)

rhombus and parallelogram

58.

What is the slope of a line parallel to the line 2x - 3y = 11?

a)

23\frac{2}{3}

b)

32\frac{3}{2}

c)

−23-\frac{2}{3}

d)

−32-\frac{3}{2}

59.
Which of the following is NOT true for a rectangle?
a)
all four angles are right angles
b)
diagonals are perpendicular
c)
diagonals are congruent
d)
diagonals bisect each other
60.

The sides of parallelogram ABCD

are represented as shown.

Find DA.

a)

10

b)

24

c)

12

d)

30

61.

Opposite angles are supplementary (Click all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

e)

Isosceles Trapezoid

62.
Solve for the variables.
a)
g=61, h=25
b)
g=60, h=9
c)
g=61, h=9
63.
If the figure is a rectangle, the value of x is...
a)
2
b)
12
c)
13
d)
28
64.

A polygon is a shape made of...

a)

curved lines

b)

straight lines

c)

4 lines

d)

3 sides

65.

A quadrilateral has...

a)

5 sides

b)

6 sides

c)

3 sides

d)

4 sides

66.

A square is...

a)

a rhombus, rectangle, parallelogram, and quadrilateral

b)

only a rhombus

c)

only a rectangle

d)

only a trapezoid

67.
A __________________ is always a rhombus, but a rhombus is not always a _______________. 
a)
rhombus
b)
parallelogram
c)
square
d)
rectangle
68.

Check all that apply.

a)

Rectangle

b)

Rhombus

c)

Square

d)

Parallelogram

69.

Check all that apply.

a)

Rectangle

b)

Square

c)

Parallelogram

d)

Trapezoid

70.

Check all that apply.

a)

Parallelogram

b)

Rhombus

c)

Trapezoid

d)

Kite

71.
Name that shape. 
a)
square
b)
square
rhombus
c)
quadrilateral
parallelogram
rhombus
d)
quadrilateral
parallelogram
square
72.
Name that shape.
a)
quadrilateral, rectangle
b)
quadrilateral, rectangle, square
c)
quadrilateral, parallelogram, rectangle
d)
quadrilateral, parallelogram, rectangle, square
73.

Classify this shape. Select ALL names that apply.

a)

quadrilateral

b)

square

c)

parallelogram

d)

rhombus

e)

rectangle

74.

What is the perimeter of the shape?

a)

20 units

b)

12 units squared

c)

22 units

d)

32 units squared

75.

This looks like a square, but it's really a...

a)

Rectangle

b)

Rhombus

c)

Kite

d)

Trapezoid

76.

This looks like a square, but it's really a...

a)

Parallelogram

b)

Rhombus

c)

Kite

d)

Trapezoid

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