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Coordinate Shapes

Total questions: 38

Worksheet time: 2hrs 46mins

Name
Class
Date
1.

What is NEEDED prove a quadrilateral is a rectangle using slope?

a)

Prove opposite sides are parallel

b)

Prove diagonals are congruent

c)

Prove opposite sides are congruent

d)

Prove there's 4 right angles by showing slopes are negative reciprocals

2.

How would you prove the opposite sides of a parallelogram are parallel?

a)

Slope

b)

Pythagorean Thm

c)

Midpoint

3.

How would you prove that the diagonals of a parallelogram bisect each other?

a)

Slope

b)

Distance Formula

c)

Midpoint

d)

Guess

4.

What would you prove about a rhombus using pyth. thm?

a)

Prove diagonals are perpendicular

b)

Prove there are 4 congruent sides

c)

Prove opposite sides are parallel

d)

Prove there are 4 right angles

5.

Prove the shape is a trapezoid.

a)

The slope of the parallel bases is 4/3

b)

The slope of the parallel bases is -4/3

c)

It is not a trapezoid because the slopes do not match.

d)

It is not a trapezoid because the legs are not parallel.

6.
How do you show that sides have the same length?
a)
slope formula
b)
midpoint
c)

Pythagorean theorem (distance)

7.
How do you find the area of a triangle?
a)
bh
b)
bhl
c)
1/2bh
8.
How do you find the perimeter of a figure
a)

Slope of all sides together

b)

pyth. thm of all the sides together

c)

Midpoint

d)
divide all the sides toghther
9.
Find the area of the quadrilateral on the coordinate plane
a)
10 sq. units
b)
6 sq. units 
c)
8 sq. units
d)
12 sq. units
10.

Find the length between J and K.

a)
8.2
b)
7.7
c)
9
d)
10.2
11.

Find the perimeter of the triangle to the nearest whole unit.

(a)  

12.

Analyze the graph. Can you prove this is a rectangle using slope?

a)

Yes because the slope of BC=−34BC=-\frac{3}{4} and the slope of AB=43AB=\frac{4}{3}

b)

No because the slope of BC=−43BC=-\frac{4}{3} and the slope of AB=−34AB=-\frac{3}{4}

c)

Yes because the slope of BC=43BC=\frac{4}{3} and the slope of AB=−34AB=-\frac{3}{4}

d)

No because the slope of BC=−34BC=-\frac{3}{4} and the slope of AB=43AB=\frac{4}{3}

13.

How do you prove lines are parallel?

a)

same slopes

b)

negative reciprocal slopes

c)
Pythagorean theorem
d)

Midpoint formula

14.
how do you show that sides are parallel?
a)
slope formula
b)
midpoint
c)
Pythagorean theorem/distance formula
15.

Which formula is used to show that lengths are parallel or perpendicular?

a)

Slope

b)

Midpoint

c)

Distance

16.
Which of the coordinates given could be the fourth point used to form a rectangle?
a)
(3, -6)
b)
(-3, -6)
c)
(-6, 3)
d)
(4, -6)
17.

What is the legth between the two points?

a)
6.3
b)
6.5
c)
6.7
d)
16
18.

A coordinate plane is shown with labeled points.


What is the distance between point A and point B on the coordinate plane?

a)

5

b)

6

c)

10

d)

14

19.

Find the length.

a)
9.7
b)
10.7
c)
11.7
d)
12.7
20.
What is the area of the figure? 
a)
11 square units
b)
15 square units
c)
25 square units
d)
30 square units
21.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
22.
What is the area of this figure?
a)
7 units2
b)
15 units2
c)
7 1/2 units2
d)
15 1/2 units2
23.
Find the area of the parallelogram.
a)
12 units2
b)
10 units2
c)
13 units2
d)
6 units
24.

What is the area of the triangle?

a)

60 square units

b)

90 square units

c)

45 square units

d)

30 square units

25.

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

26.

A= Pi*r^2, 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
27.
The drawing shows points  A,B, and C. At what location would you add point D to create a square ?
a)
( 2,1 )
b)
(4,5)
c)
( 5, 4 )
d)
( 5, 10 )
28.
Norman drew three points on a coordinate grid, as shown. If Norman draws a fourth point to form a parallelogram , which point could not be Norman's point ?
a)
( 5,5 )
b)
( 1,-1 )
c)
( -1,3 )
d)
( 2, -2 )
29.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
30.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
31.
What type of slope?
a)
zero slope
b)
undefined
c)
negative
d)
positive
32.
a)

0/3

b)

-6/3

c)

-6/7

d)

6/3

33.
What slope is parallel to:  
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
34.

The following represents slopes of two lines. Which answer choice describes the two lines?
m=−13m=-\frac{1}{3}  and  m=−13m=-\frac{1}{3}  .

a)

Parallel

b)

Perpendicular

c)

Neither

35.
The following represents slopes of two lines.  Which answer choice describes the two lines?
m = 7 and m = -7
a)
Parallel
b)
Perpendicular
c)
Neither
36.
What is the slope of a line perpendicular to a line with slope -6/5 ?
a)
-6/5
b)
-5/6
c)
5/6
d)
-4/3
37.

What is the slope of a line perpendicular to 5?

a)

5

b)

1/5

c)

-1/5

d)

-5

38.

Which two lines are perpendicular?

a)

Line A and Line B

b)

Line B and Line C

c)

Line A and Line C

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