4. Quadrilaterals

Coordinate Quads — Quiz

Test your understanding of coordinate quads with 5 practice questions.

Practice Questions

Question 1

A quadrilateral has vertices $A(x_1, y_1)$, $B(x_2, y_2)$, $C(x_3, y_3)$, and $D(x_4, y_4)$. Which of the following conditions is necessary to prove that the quadrilateral is a parallelogram using coordinate geometry?

Question 2

Given a quadrilateral with vertices $A(0,0)$, $B(a,0)$, $C(a+b, c)$, and $D(b,c)$, what is the most specific type of quadrilateral that can be formed?

Question 3

A quadrilateral has vertices $P(1,2)$, $Q(5,2)$, $R(4,5)$, and $S(0,5)$. What is the area of this quadrilateral?

Question 4

If the diagonals of a quadrilateral are congruent and bisect each other, which of the following statements is always true?

Question 5

To prove that a quadrilateral with vertices $A(x_1, y_1)$, $B(x_2, y_2)$, $C(x_3, y_3)$, and $D(x_4, y_4)$ is a square using coordinate geometry, which of the following sets of properties must be shown?