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•  » The Cartesian Coordinate System and the Distance Formula

## #1 2012-12-06 11:31:26

zee-f
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### The Cartesian Coordinate System and the Distance Formula

Hi,

I was wondering if my answers look correct

1- C
1. Draw a Cartesian Coordinate system for yourself, and then determine whether these sets of points form triangles

Set 1: (0,0), (1,1), (0,1)
Set 2: (-1, 0), (1,1), (3,2)
Set 3: (0,0), (5,0), (3,5)

A set 1 line segment, set 2 Triangle, set 3 line segment
Bset 1 Triangle, set 2 Triangle, set 3 line segment
Cset 1 Triangle, set 2 line segment, set 3 Triangle
Dset 1 line segment, set 2 line segment, set 3 line segment
E set 1 Triangle, set 2 line segment, set 3 line segment
F set 1 line segment, set 2 Triangle, set 3 Triangle

2-B
2. I have placed a square that is 2 units long on each side so that its sides are parallel to
the x- or y-axis, but it's center is right on the origin. What are the coordinates of the corners?

A (-1,-1), (1,-1), (-1,-1), (1,-1)
B(1,1), (1,-1), (-1,1), (-1,-1)
C(-1,-1), (-1,-1), (1,-1), (1,-1)
D(1,-1), (-1,1), (-1,-1), (-1,1)
E (-1,1), (-1,1), (-1,-1), (-1,-1)
F (1,1), (1,1), (1,1), (1,1)

3- E
3. What shape do these four points make? (Draw from one to the next in the order given,
and then draw from the last back to the first).

(0,-1), (1,1), (0,3), (-1,1)

A A pentagon
BAn octagon
C A triangle
DA square
E A rhombus
F A cube

4. D
4. Now do the same with this list, and describe the shape.

(0,-1), (0,3), (1,1), (-1,1)

A A square
BTwo acute angles that meet at the acute angles
CA triangle
DTwo right triangles that meet at the right angles
E A rhombus
F Two obtuse triangles that meet at the hypotenuse

What shape is created by the following points? (Do not connect these in order, just connect around the outside of the shape.)

5. C
5. (-1, 0), (2, 0), (2, 4), and (-1, 4)

A a rectangle
Ba square
Ca parallelogram
Da rhombus
E a triangle
F a line segment

6.F
6. (-2, 1), (-6, 1), (-7, 6), and (-3, 6)

A a line segment
Ba trapezoid
Ca square
Da rhombus
E a triangle
F a parallelogram

7. B
7. (1, 1), (1, -3), (9, 1), and (5, -3)

A a line segment
Ba trapezoid
Ca square
Da rhombus
E a triangle
F a parallelogram

8.F
8. (8, 5), (2, -3), (5, -3), and (5, 5)

A a parallelogram
Ba trapezoid
Ca square
Da rhombus
E a triangle
F a rectangle

9.A
9. (-5, 1), (2, 1), (2, -4), and (-13, -4)

A a trapezoid
B a line segment
C a square
D a rhombus
E a triangle
F a parallelogram

10.D
10. (-7, 9), (-3, 13), and (-11, 13)

A a rhombus
B a trapezoid
C a square
D a right triangle
E  a circle
F a line segment

Last edited by zee-f (2012-12-06 12:09:29)

One, who adopts patience, will never be deprived of success though it may take a long time to reach him. Imam ali (as)<3

## #2 2012-12-06 12:12:47

bobbym

Online

### Re: The Cartesian Coordinate System and the Distance Formula

Hi;

1C is correct.

2 B is correct.

3 E is correct.

4 I get E. Those are the same points as in 3.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #3 2012-12-06 19:13:08

bob bundy
Moderator

Offline

### Re: The Cartesian Coordinate System and the Distance Formula

hi zee-f

1- C
1. Draw a Cartesian Coordinate system for yourself, and then determine whether these sets of points form triangles

Set 1: (0,0), (1,1), (0,1)
Set 2: (-1, 0), (1,1), (3,2)
Set 3: (0,0), (5,0), (3,5)

A set 1 line segment, set 2 Triangle, set 3 line segment
Bset 1 Triangle, set 2 Triangle, set 3 line segment
Cset 1 Triangle, set 2 line segment, set 3 Triangle
Dset 1 line segment, set 2 line segment, set 3 line segment
E set 1 Triangle, set 2 line segment, set 3 line segment
F set 1 line segment, set 2 Triangle, set 3 Triangle

correct

2-B
2. I have placed a square that is 2 units long on each side so that its sides are parallel to
the x- or y-axis, but it's center is right on the origin. What are the coordinates of the corners?

A (-1,-1), (1,-1), (-1,-1), (1,-1)
B(1,1), (1,-1), (-1,1), (-1,-1)
C(-1,-1), (-1,-1), (1,-1), (1,-1)
D(1,-1), (-1,1), (-1,-1), (-1,1)
E (-1,1), (-1,1), (-1,-1), (-1,-1)
F (1,1), (1,1), (1,1), (1,1)

correct

3- E
3. What shape do these four points make? (Draw from one to the next in the order given,
and then draw from the last back to the first).

(0,-1), (1,1), (0,3), (-1,1)

A A pentagon
BAn octagon
C A triangle
DA square
E A rhombus
F A cube

correct

4. D
4. Now do the same with this list, and describe the shape.

(0,-1), (0,3), (1,1), (-1,1)

A A square
BTwo acute angles that meet at the acute angles
CA triangle
DTwo right triangles that meet at the right angles
E A rhombus
F Two obtuse triangles that meet at the hypotenuse

correct

bobbym: join the points in the order given.

What shape is created by the following points? (Do not connect these in order, just connect around the outside of the shape.)

5. C
5. (-1, 0), (2, 0), (2, 4), and (-1, 4)

A a rectangle
Ba square
Ca parallelogram
Da rhombus
E a triangle
F a line segment

I'm not getting that.  Check you plotted them correctly.

6.F
6. (-2, 1), (-6, 1), (-7, 6), and (-3, 6)

A a line segment
Ba trapezoid
Ca square
Da rhombus
E a triangle
F a parallelogram

correct

7. B
7. (1, 1), (1, -3), (9, 1), and (5, -3)

A a line segment
Ba trapezoid
Ca square
Da rhombus
E a triangle
F a parallelogram

correct

8.F
8. (8, 5), (2, -3), (5, -3), and (5, 5)

A a parallelogram
Ba trapezoid
Ca square
Da rhombus
E a triangle
F a rectangle

I'm not getting that.  Check the points.

9.A
9. (-5, 1), (2, 1), (2, -4), and (-13, -4)

A a trapezoid
B a line segment
C a square
D a rhombus
E a triangle
F a parallelogram

correct

10.D
10. (-7, 9), (-3, 13), and (-11, 13)

A a rhombus
B a trapezoid
C a square
D a right triangle
E  a circle
F a line segment

correct

Bob

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

## #4 2012-12-07 05:45:49

zee-f
Super Member

Offline

### Re: The Cartesian Coordinate System and the Distance Formula

Hi,

#5- (A- rectangle)

#8- (A- parallelogram)

Thank you

One, who adopts patience, will never be deprived of success though it may take a long time to reach him. Imam ali (as)<3

## #5 2012-12-07 05:47:41

bob bundy
Moderator

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### Re: The Cartesian Coordinate System and the Distance Formula

hi zee-f

Both correct, well done!

Bob

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

## #6 2012-12-07 06:04:08

zee-f
Super Member

Offline

### Re: The Cartesian Coordinate System and the Distance Formula

Thanks

One, who adopts patience, will never be deprived of success though it may take a long time to reach him. Imam ali (as)<3

## #7 2012-12-07 06:11:27

bob bundy
Moderator

Offline

### Re: The Cartesian Coordinate System and the Distance Formula

hi zee-f,

You are welcome.  It is always a delight to help you; your determination to understand the work and your efforts to get to the answers make you the ideal pupil.

Bob

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

## #8 2012-12-07 06:22:17

zee-f
Super Member

Offline

### Re: The Cartesian Coordinate System and the Distance Formula

And I really appreciate the time your giving me to help !

One, who adopts patience, will never be deprived of success though it may take a long time to reach him. Imam ali (as)<3
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