Quadrilaterals

Topics in this chapter

• Quadrilateral Types and Definitions
• Quadrilateral Angle Properties
• Parallelogram Properties and Converses
• Rectangle, Rhombus and Square
• Diagonals and Angle Bisectors
• Midpoint Theorem and Ratios
• Quadrilateral Measurement Problems

Cheat sheet

Practice questions

1. Question 1Q-1EE6F2

   If the diagonals of a quadrilateral bisect each other at right angles, then the quadrilateral is necessarily a:

   1. A.Rectangle
   2. B.Rhombus
   3. C.Kite
   4. D.Trapezium
   See the answer and solution
2. Question 2Q-72C104

   The line segment joining the mid-points of any two sides of a triangle is:

   1. A.parallel to the third side and equal to it
   2. B.parallel to the third side and half of it
   3. C.perpendicular to the third side and half of it
   4. D.equal to the sum of the other two sides
   See the answer and solution
3. Question 3Q-724785

   In a parallelogram $ABCD$, if $\angle A = 3x - 10^\circ$ and $\angle C = 2x + 30^\circ$, find the measure of $\angle A$.

   1. A.40°
   2. B.70°
   3. C.110°
   4. D.140°
   See the answer and solution
4. Question 4Q-4484A4

   Which of the following is NOT a property of a parallelogram?

   1. A.Opposite sides are equal.
   2. B.Opposite angles are equal.
   3. C.Diagonals are equal.
   4. D.Diagonals bisect each other.
   See the answer and solution
5. Question 5Q-CE95B0

   The angles of a quadrilateral are in the ratio $3:5:9:13$. Find the measure of the largest angle.

   1. A.108°
   2. B.156°
   3. C.130°
   4. D.169°
   See the answer and solution