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 How many diagonals does a quadrilateral have? tap to flip ↻ Answer A quadrilateral has 2 diagonals. 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 Opposite sides of a parallelogram are equal in length. Question In a parallelogram, what is true about opposite angles? tap to flip ↻ Answer Opposite angles of a parallelogram are equal. Question In a parallelogram, what is true about adjacent angles? tap to flip ↻ Answer Adjacent angles of a parallelogram are supplementary (sum to $180^\circ$). Question What is the property of 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 special about the diagonals of a rhombus? tap to flip ↻ Answer The diagonals of a rhombus are perpendicular bisectors of each other. Question What is a rectangle? tap to flip ↻ Answer A rectangle is a parallelogram with all angles equal to $90^\circ$. Question What is special 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 special about the diagonals of a square? tap to flip ↻ Answer The diagonals of a square are equal, perpendicular bisectors of each other. 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 a trapezium? tap to flip ↻ Answer A trapezium is a quadrilateral with at least one pair of parallel sides. Question What is an isosceles trapezium? tap to flip ↻ Answer An isosceles trapezium is a trapezium with non-parallel sides equal. Question What is the sum of the exterior angles of any quadrilateral? tap to flip ↻ Answer The sum of the exterior angles of any quadrilateral is $360^\circ$. Question What is the angle sum property of a quadrilateral? tap to flip ↻ Answer The sum of the four interior angles of a quadrilateral is $360^\circ$.