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(-12)^2
-8 is y2 and -0 is y1
d = √(-3 - 9)^2 + (-8 + 0)^2
Right?
-3 is x2, 9 is x1
I think so
Its when you take two points and subtract the x values and the y values then you use the Pythagorean Theorem (c^2 = a^2 + b^2) to find the third side (hypotenuse)?
so d = √(x2 - x1)^2 + (y2 - y1)^2
I tried to do 14, but the answer I came out with wasn't on there. Could you walk me through it?
Hi, I need help finishing these up. I also need to make sure the ones I've done are correct.
1. Draw a Cartesian Coordinate system for yourself, and then determine whether these sets of points form triangles (C)
Set 1: (0,0), (1,1), (0,1)
Set 2: (-1, 0), (1,1), (3,2)
Set 3: (0,0), (5,0), (3,5)
Aset 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. 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? (B)
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. 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) (E)
AA pentagon
BAn octagon
C A triangle
DA square
E A rhombus
F A cube
4. Now do the same with this list, and describe the shape. (B)
(0,-1), (0,3), (1,1), (-1,1)
AA 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. (-1, 0), (2, 0), (2, 4), and (-1, 4) (A)
Aa rectangle
Ba square
Ca parallelogram
Da rhombus
E a triangle
F a line segment
6. (-2, 1), (-6, 1), (-7, 6), and (-3, 6) (F)
Aa line segment
Ba trapezoid
Ca square
Da rhombus
E a triangle
F a parallelogram
7. (1, 1), (1, -3), (9, 1), and (5, -3) (A)
Aa line segment
Ba trapezoid
Ca square
Da rhombus
E a triangle
F a parallelogram
8. (8, 5), (2, -3), (5, -3), and (5, 5) (B)
Aa parallelogram
Ba trapezoid
Ca square
Da rhombus
E a triangle
F a rectangle
9. (-5, 1), (2, 1), (2, -4), and (-13, -4) (A)
Aa trapezoid
Ba line segment
Ca square
Da rhombus
E a triangle
F a parallelogram
10. (-7, 9), (-3, 13), and (-11, 13) (D)
Aa rhombus
Ba trapezoid
Ca square
Da right triangle
E a circle
F a line segment
Find the distance between the two points:
11. (-20, -4) and (-7, -6)
A4
BSQRT(61)
CSQRT(290)
D5
E SQRT(173)
F SQRT(180)
12. (1, 1) and (-4, 1) (D)
A4
BSQRT(61)
CSQRT(290)
D5
E SQRT(173)
F SQRT(180)
13. (-3, 22) and (-14, 35)
A4
BSQRT(61)
CSQRT(290)
D5
E SQRT(173)
F SQRT(180)
14. (9, -0) and (-3, -8)
A4
BSQRT(61)
CSQRT(290)
D4[SQRT(13)]
E 5[SQRT(17)]
F 3[SQRT(180)]
15. (1, 2) and (5, 2) (E)
A4[SQRT(13)]
BSQRT(61)
CSQRT(29)
DSQRT(202)
E 4
F SQRT(60)
What is the radius of a circle with the given center C that passes through the given point Z?
16. C (0, 0); Z (-8, 0)
A4
BSQRT(61)
C8
D5
E SQRT(173)
F SQRT(180)
17. C (-4, -5); Z (-10, -5)
A4
BSQRT(202)
CSQRT(290)
DSQRT(61)
E SQRT(173)
F 6
18. C (-5, 8); Z (-5, 4)
A4
BSQRT(61)
CSQRT(290)
DSQRT(202)
E SQRT(173)
F 6
19. C (-5, 9); Z (6, 0)
A4
BSQRT(61)
CSQRT(290)
DSQRT(202)
E SQRT(173)
F SQRT(180)
20. C (-7, 6); Z (-13, -6)
A4
BSQRT(202)
CSQRT(290)
DSQRT(61)
E SQRT(173)
F SQRT(180)
I'm mostly concerned about 11-20. I put the answers I knew in parenthesis next to the question. ex. (E)
I got completely confused once it hit question 11.