Quadrilaterals

Question What is a quadrilateral? tap to flip ↻ Answer A quadrilateral is a polygon with four sides, four vertices, and four angles. Question What is the sum of the interior angles of a quadrilateral? tap to flip ↻ Answer The sum of the interior angles of any quadrilateral is $360^\circ$. Question What is a diagonal of a quadrilateral? tap to flip ↻ Answer A diagonal is a line segment joining two non-adjacent vertices of the quadrilateral. Question What is a regular polygon? tap to flip ↻ Answer A regular polygon is a polygon that is both equilateral (all sides equal) and equiangular (all angles equal). Question What is the sum of the exterior angles of any convex polygon? tap to flip ↻ Answer The sum of the exterior angles of any convex polygon is $360^\circ$. Question What is the measure of each exterior angle of a regular polygon with $n$ sides? tap to flip ↻ Answer Each exterior angle of a regular $n$-sided polygon is $\frac{360^\circ}{n}$. Question What is the measure of each interior angle of a regular polygon with $n$ sides? tap to flip ↻ Answer Each interior angle of a regular $n$-sided polygon is $\frac{(n-2)\times 180^\circ}{n}$. Question What is a parallelogram? tap to flip ↻ Answer A parallelogram is a quadrilateral with both pairs of opposite sides parallel. Question In a parallelogram, what is true about opposite sides? tap to flip ↻ Answer In a parallelogram, opposite sides are equal in length. Question In a parallelogram, what is true about opposite angles? tap to flip ↻ Answer In a parallelogram, opposite angles are equal. Question In a parallelogram, what is true about adjacent angles? tap to flip ↻ Answer In a parallelogram, adjacent angles are supplementary (they add up to $180^\circ$). Question What is true about the diagonals of a parallelogram? tap to flip ↻ Answer The diagonals of a parallelogram bisect each other. Question What is a rhombus? tap to flip ↻ Answer A rhombus is a parallelogram with all four sides equal. Question What is true about the diagonals of a rhombus? tap to flip ↻ Answer The diagonals of a rhombus bisect each other at right angles ($90^\circ$). Question What is a rectangle? tap to flip ↻ Answer A rectangle is a parallelogram with all four angles equal to $90^\circ$. Question What is true about the diagonals of a rectangle? tap to flip ↻ Answer The diagonals of a rectangle are equal in length and bisect each other. Question What is a square? tap to flip ↻ Answer A square is a parallelogram with all sides equal and all angles equal to $90^\circ$. Question What is true about the diagonals of a square? tap to flip ↻ Answer The diagonals of a square are equal, bisect each other, and are perpendicular. Question What is a kite? tap to flip ↻ Answer A kite is a quadrilateral with two distinct pairs of adjacent sides equal. Question What is true about the diagonals of a kite? tap to flip ↻ Answer The diagonals of a kite are perpendicular, and one diagonal bisects the other. Question What is a trapezium? tap to flip ↻ Answer A trapezium is a quadrilateral with at least one pair of parallel sides. Question In an isosceles trapezium, what is true about the non-parallel sides? tap to flip ↻ Answer In an isosceles trapezium, the non-parallel sides (legs) are equal in length. Question In an isosceles trapezium, what is true about the base angles? tap to flip ↻ Answer In an isosceles trapezium, the base angles are equal. Question What is the angle sum property of a quadrilateral? tap to flip ↻ Answer The sum of the measures of the four interior angles of a quadrilateral is $360^\circ$. Question How can you find the number of sides of a regular polygon if each exterior angle is known? tap to flip ↻ Answer Number of sides $n = \frac{360^\circ}{\text{each exterior angle}}$.