Points A (9, 9), B (13, 17), C (21, 13), and D (17, 5) are plotted on a coordinate grid. Which statement is correct?

AC and BD are the diagonals of square ABCD because AB = BC = CD = AD.

BD does not bisect angle ABC because each interior angle of figure ABCD measures less than 90°.

AB is perpendicular to CD and BC is perpendicular to AD.

AC is not perpendicular to BD because the lengths of AB, BC, CD, and AD are different.

Question

Points A (9, 9), B (13, 17), C (21, 13), and D (17, 5) are plotted on a coordinate grid. Which statement is correct?

 AC and BD are the diagonals of square ABCD because AB = BC = CD = AD.

 BD does not bisect angle ABC because each interior angle of figure ABCD measures less than 90°.

 AB is perpendicular to CD and BC is perpendicular to AD.

 AC is not perpendicular to BD because the lengths of AB, BC, CD, and AD are different.

anonymous · Answer

I think the answer is D

anonymous · Answer

The easiest way to solve this is to just plot the points out and draw the lines.