Question

PLEASEEE HELPPP :) I NEED THE AWNSER
Nancy drew parallelogram ABCD as shown
On the same grid she will draw parallelogram PQRS similar to parallelogram ABCD with the ratio of corresponding side lengths PQ and AB equal to 4 : 1. If the coordinates of vertex P are (-8, -5), what could be the coordinates of vertex Q
4, 6)

(-4, -1)

(0, -5)

(8, -5)

Answer 1

Simply look at line segment AB first. Since the y-values are the same, the points are simply separated by an x-distance, which by subtraction, is 4. So since AB is 4 units in length, if PQ is 4:1 with AB, then PQ is 4 x 4, or 16 units in length.

So now consider the point P (-8, -5). If the y-coordinate is the same for both P and Q, then simply add 16 to the x of P to obtain the x of Q.

-8 + 16 = 8

So point Q is at (8, -5) , or the last choice :D

Answer 2

THANKS ALOT that was my original awnser :)

Answer 3

Fantastic! So you're doing it right :D

Answer 4

woohoo wanna try to help me with another plz?

Answer 5

It'd be my pleasure :)

Answer 6

a trapezoid is drawn on a grid with vertices at P (-5, 7), Q (-2, 7), R (2, 3), and S (-8, 3). Trapezoid UVWX will be drawn similar to Trapezoid PQRS with side UV corresponding to side PQ. The point (2, -2) will be the location of vertex U and point (8, -2) will be the location of point V.

What will be the coordinates of vertex X? Show all your work or explain your reasoning

Answer 7

its the only one i truley dont get!!

Answer 8

Alright let me think about it :)

Answer 9

k thx so much bro

Answer 10

ok so now how ud come up with that so i can type my steps???:)

Answer 11

Nevermind I overcomplicated it, i'm sorry. the y-coordinates of PQ are the same, so the x-distance is 3. Notice for U and V the x-distance is 6. So essentially all the sides are doubled in length.

Answer 12

ok ok i get it so for my awnser how would i word it, just like what you said or something else???

Answer 13

well you need the point of X, so we need to find that :P

Answer 14

oh yea i kinda lost track for a second lol. so we needa graph huh

Answer 15

Okay, so if we look at the relation of point P (-5, 7) and S (-8, 3) we see they differ by x=3 and y=4, so if we simply double that relationship with U and X, we should get our point.

So if U is at (2, -2), the we should move left 3x2 x units and move down 4x2 y units. So if we move left 6 and down 8, we get point (-4, -10) for X :D

Answer 16

ohh em gee ur a genius thxs i deff get what ur tlking about :D

Answer 17

hahaha :P glad i could help.