Question

Geometry help

Answer 1

oh whoops I forgot to get back to this ;_;

did you end up getting anything as your answer yet?

Answer 2

no i had said that i know it must be irritating t have to explain everything but i honestly dont understand this and im just trying to get through the rest of the year.

Answer 3

so the x-coordinates are -1 and 6, just add these together and divide by 2 to get the new x-coordinate

(-1+6)/2 = 2.5 is the new x-coordinate

repeat this process w/ the y-coordinates

Answer 4

okay, thank you

Answer 5

would y by 5?

Answer 6

good, so (2.5,5) = your ans

Answer 7

awesome, thank you.

Answer 8

y = (5/4)x - 2 is the original line

the perpendicular line will have -4/5 as a slope (we take the original slope, flip the num and denominator, then stick a negative sign in front)

so y = (-4/5)x + b

you are given a point (10,5), so 10 will be your x-value and 5 will be your y-value, substitute these into the second equation to get b

Answer 9

okay, so would it be y=(10, 5)x+b

Answer 10

y = (-4/5)x + b
the -4/5 stays as it is, this is the slope

replace "y" with "5" and "x" with 10 and solve for b

Answer 11

oh okay i see now, 5=(-4/5)10+b
b=13

Answer 12

good so the new equation is y = (-4/5)x + 13

Answer 13

you'll have to use the pythagorean theorem to figure out the side lengths

Answer 14

c^2 = 3^2 + 2^2

c = ?

Answer 15

hey, sorry my internet went out or something.

Answer 16

and is it 4?

Answer 17

3^2 + 2^2 = ?

Answer 18

13

Answer 19

good, and if c^2 = 13 then c = ? (don't use decimals yet, just leave it in radical form)

Answer 20

6.5?

Answer 21

don't use decimals yet

c = sqrt(13)

Answer 22

and how would i do radical form

Answer 23

c^2 = 13, c = sqrt(13) is the radical form since it still has the square root symbol

now we repeat the process with the other side

Answer 24

c^2 = 6^2 + 4^2

c = ?

Answer 25

52?

Answer 26

c^2 = 52, which means c = sqrt(52)

now we just multiply area = length * width = sqrt(52) * sqrt(13) = 26 = your answer

Answer 27

thank you, i'll post the next one

Answer 28

first we draw a line from the point to each vertex of the shape

Answer 29

now we just double the length of each line and draw the new vertices at the new ends

Answer 30

okay, thank you.

Answer 31

for each one you have to make sure that, for each corresponding side, the ratio is the same (it's probably easier to show than to explain w/ words)

Answer 32

first we pick two "corresponding sides" or the "matching" sides from each figure

Answer 33

the two slanty sides have a ratio of 30/12

now we pick two other corresponding sides (i'll pick the top side)

Answer 34

these have a ratio of 7.5/3

30/12 = 7.5/3 = 2.5, so we have to keep checking to see if ALL corresponding sides have the same ratio

Answer 35

all of these are equal to 2.5, which means that the two shapes ARE similar

repeat this process for every shape (it's tiresome i know sorry)

Answer 36

Okay

Answer 37

Is this right?

Answer 38

yup good

Answer 39

first try re-drawing them so they are in the same orientation

Answer 40

now, notice how the points on FSHB are starting from F and going clockwise?

to name the other shape we start from K (the corresponding point) and also go clockwise

Answer 41

KTWJ

Answer 42

good

Answer 43

thanks :) so thats the answer?

Answer 44

yes

Answer 45

again, let's draw the big triangle in the same orientation as the smaller one

Answer 46

ok

Answer 47

now we set up a proportion of corresponding sides

DY/HS = DL/HK

plug and solve for DY

Answer 48

im confused as to how to do that -_-

Answer 49

take a look at the diagram

you are given HS, DL, and HK

plug those in and solve for DY.

Answer 50

ok

Answer 51

would it be x/32=24/15

Answer 52

good, solve for x

Answer 53

256/5

Answer 54

good, but they want a decimal so convert that to a decimal

Answer 55

ok and sorry im taking long to answer, my mom chooses the most opportune times to interrupt me

Answer 56

51.2

Answer 57

good, that's it

Answer 58

try to re-draw them in the same orientation
pick two corresponding sides

and then divide them (small side/big side) since we are dilating from big to small

let me know if you get stuck

Answer 59

okay

Answer 60

I probably need to get going soon, I can recommend dude, 563blackghost, or shadow as other people who can potentially help

Answer 61

okay, thank you for all your help i really appreciate it. i hope you have a good day :)