Question

1. rectangle vertices: (3,2), (3,7), (9,7) and (x,2). find x. 6 9 7 3

Explanation:

Step1: Identify horizontal sides

Vertices (3,2) and (x,2) share y=2 (horizontal side). Vertices (3,7) and (9,7) share y=7 (horizontal side).

Step2: Equal horizontal lengths

Length of (3,7)-(9,7) is $9-3=6$. So length of (3,2)-(x,2) must be 6: $x-3=6$.

Step3: Solve for x

$x=3+6=9$.

Answer:

9 (assuming the second option is 9, as the text may have OCR errors; the correct x is 9)