Question

Quadrilateral ABCD is similar to quadrilateral EFGH. Based on the provided measures in a diagram, what must be the value of x?

a. x = 4
b. x = 6
c. x = 8
d. x = 12

Answer 1

The value of x in quadrilateral ABCD must be 3, which is not in the answer choices provided.

Step-by-step explanation:

To find the value of x, we need to use the fact that quadrilateral ABCD is similar to quadrilateral EFGH. One property of similar figures is that the corresponding sides are proportional. In this case, AB corresponds to EF, AC corresponds to EG, and BC corresponds to FG. Since AB is given as 3x and EF is given as 6, we can set up the proportion 3x/6 = BC/FG, and solve for x. Cross multiplying gives us 6x = 18, so x = 3. Therefore, the value of x must be 3, which is not in the answer choices given.