Question

WXYZ is an isosceles trapezoid. WY = 8x – 3 and ZX = 19. Find the value of x

2
2.375
3.75
2.75

Answer 1

what do you know about the diagonals of an isosceles trapezoid?

Answer 2

not much

Answer 3

well, if you look at the diagram, any guesses as to the relationship between WY and ZX?

Answer 4

aren't they equal?

Answer 5

yes they are

Answer 6

okay, so that means their values are equal, and you can write

WY = ZX
8x-3 = 19

and now solve the equation for x

Answer 7

2.75?

Answer 8

well, one way to find out, plug it in to the formula and see if it gives you a true number statement.

8x-3=19
8(2.75) - 3 = 19
22-3 = 19
19 = 19
looks good!