Question

HELP ! ASAP PLEASEE
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 1

@sumi29

Answer 2

@calculusxy

Answer 3

OK let's do this.

Answer 4

can you help ??

Answer 5

We know that the new trapezoid is exactly the same as the previous one.

Answer 6

Now to find X, consider Q of the trapezoid PQRS. Its at (-2,7) and its distance from the base of trapezoid PQRS is therefore (7-3) = 4 units.

Answer 7

okay so 4 would be one of the corrdinates

Answer 8

Similarly, for the new trapezoid UVWX, the base is at -2 (its y co-ordinate). Since the distance of the top from the base is 4 units, what do you think the Y co-ordinate of X would be?

Answer 9

2 ?

Answer 10

Since the base is at -2 for UVWX, the top would be (-2-4) = -6. Get it?

Answer 11

yeah i get it

Answer 12

so my answer would ne (4,-6)

Answer 13

Great! now you have the Y co-ordinate. Now the X co-ordinate of point X would be the same as that of Q (since it corresponds to x). So your answer would be -2,-6

Answer 14

Awesome thank you so much !

Answer 15

No problem, if you got more queries, post 'em here! :-)

Answer 16

i will thank you again!!

Answer 17

Here is a graph that shows both trapezoids.
notice the 2nd trapezoid UVWX is twice as big as the original PQRS