Question

Line FG contains points F (3, 7) and G (−4, −5). Line HI contains points H (−1, 0) and I (4, 6). Lines FG and HI are

parallel

perpendicular

neither

Answer 1

@NinjaDevo

Answer 2

Line AB contains points A (8, −4) and B (1, −5). The slope of line AB is

−7

negative 1 over 7

1 over 7

7

Answer 3

those are my questions

Answer 4

i am not good at geometry

Answer 5

Alright, give me a second to draw this out.

Answer 6

k

Answer 7

F (3, 7) and G (−4, −5).
What is the slope of the line FG?
Slope = \(\Large \frac{y_2-y_1}{x_2-x_1} \)

Answer 8

ok one sec

Answer 9

its -5-7 over -4-3

Answer 10

right?

Answer 11

Yes. Simplify.

Answer 12

ok -12/-7

Answer 13

which further simplifies to 12/7.

Answer 14

how?

Answer 15

how does that work?

Answer 16

-12 / -7 = (-1 * 12) / (-1 * 7)
The -1 in the numerator and denominator will cancel out leaving you with 12/7.

Answer 17

ok thanks

Answer 18

so now what do we do?

Answer 19

H (−1, 0) and I (4, 6).
What is the slope of the line HI?

Answer 20

6-0 over 4+1 bcux the - cancels out the -

Answer 21

am i right?

Answer 22

is the first question neither @NinjaDevo

Answer 23

Yes. the slope is 6/5.

Slope of FG is 12/7
Slope of HI is 6/5

Are the slopes the same? NO. So they are NOT parallel.
Are the slopes the negative reciprocal of each other? NO. So they are NOT perpendicular.

Neither.

Answer 24

ok thanks

Answer 25

Yup, here's a visual of the two lines if it helps.

Answer 26

um @NinjaDevo and @aum is the second question the same as the first when it comes to using the slope formula

Answer 27

Yes.

Answer 28

ok so -5+4 over 1-8

Answer 29

so its -1 over -7

Answer 30

And -1/-7 is the same thing as....?

Answer 31

Like before, simplify further. The negative in the numerator and denominator will cancel out.

Answer 32

1 over 7

Answer 33

Yes.

Answer 34

thanks so much guys

Answer 35

i have another question

Answer 36

When the coordinates (2, 3), (4, 4), (6, 3), and (4, 2) are joined, which shape is formed?

Parallelogram

Rectangle

Rhombus

Square

Answer 37

Yup, you got it. Again, here's a visual of this line if it helps.

Answer 38

thanks ninja

Answer 39

thanks aum

Answer 40

You have to plot the 4 points on the graph and join them to figure out the answer.

Answer 41

i dont understand on how to tell what figure it is?

Answer 42

because a rhombus and a parallelogram confuse me

Answer 43

First plot the 4 points on a graph.

Answer 44

ok one sec dont leave im gonna graph it

Answer 45

Notice the first and the third point have the same y values. So they are on a horizontal line.
Notice the second and the fourth point have the same x values. So they are on a vertical line.

Answer 46

http://itools.subhashbose.com/grapher/graph.php?nop&x []=2&y[]=3&x[]=4&y[]=4&x[]=6&y[]=3&x[]=4&y[]=2&w=500&h=400&dtsz=Auto&title=&shax=on&xlbl=&axx=on&aspx=Auto&ylbl=&axy=on&aspy=Auto

Answer 47

thats what i got

Answer 48

nvm cant view it

Answer 49

http://itools.subhashbose.com/grapher/graph.php?nop&x []=2&y[]=3&x[]=4&y[]=4&x[]=6&y[]=3&x[]=4&y[]=2&w=500&h=400&dtsz=Auto&title=&shax=on&xlbl=&axx=on&aspx=Auto&ylbl=&axy=on&aspy=Auto

Answer 50

nvm same thing wow

Answer 51

Just so you know, a parallelogram looks like a "slanted" square. (First attached picture)
A rhombus looks like a "stetched" square. (Second attached picture)

Answer 52

im trying

Answer 53

they look the same to me pretty much on a graph its hard for me

Answer 54

Ok, sorry my information is a bit incorrect.
A parallelogram is a "slanted" RECTANGLE
A rhombus is a "slanted" SQUARE
Sorry about that

Answer 55

A rhombus is a special case of a parallelogram where all sides are equal and opposite sides are parallel.

A parallelogram usually has just the opposite sides parallel and equal.

Answer 56

i think its a parallelogram

Answer 57

Can't guess just from looking at the figure. The graphing part is just to figure out which which vertices are next to each other and opposite to each other. Once that is done, find the slope of opposite sides to see if they are the same to prove they are parallel or not. After that find the lengths of each sides. If they are all the same then it is a rhombus.