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#1 2012-12-06 11:31:26
- zee-f
- Super Member
Offline
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
- Administrator
Offline
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.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#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
#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
