Question

Nancy drew parallelogram ABCD as shown.

Parallelogram ABCD with coordinates A(3, 1), B(6, 1), C(9, 5), and D(6, 5).

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 3 : 1. If the coordinates of vertex P are (-3, 4), what could be the coordinates of vertex Q?

A. (0, 5)

B. (6, 4)

C. (3, 4)

D. (9, 4)

Answer 1

Do you know the concept of slope?

Answer 2

no

Answer 3

k...........no probs

Answer 4

Think it this way:
A is (3,1) and B is (6,1)
Which co-ordinate is changing?

Answer 5

x

Answer 6

right!! By how much??

Answer 7

3

Answer 8

great! Since PQ line will be similar to AB...........which co-ordinate should change for PQ?

Answer 9

x

Answer 10

good! Now I think it says that PQ:AB is 3:1 which means...........PQ is 3 times as long as AB

Answer 11

So by how much should the x-coordinate of Q change?

Answer 12

so if the coordinate is changing by three and the ratio is 3:1 would the answer be D

Answer 13

Nope

Answer 14

SInce x-cordinate of A to B is changing by 3 and PQ is thrice as long..........the co-ordinate of P to Q should change by ........ ??

Answer 15

3

Answer 16

Nope..........since PQ is 3 times as long as AB.........the co-ordinate from P to Q changes by three times the change of A to B (i.e 3X3)

Answer 17

9

Answer 18

yup and move x-cordinate of P by 9 units.......what do you get?

Answer 19

oh (B.)

Answer 20

you got it!!

Answer 21

thanks for taking the time to help me with this question

Answer 22

next time when you do this type of questions.....draw a co-ordinate system and do it..........the question will appear much simpler........you are welcome