Quadilaterals Flashcards
What is a quadrilateral?
A quadrilateral is a polygon with four edges (sides) and four vertices (corners).
What is the sum of the interior angles of a quadrilateral?
The sum of the interior angles of a quadrilateral is 360 degrees.
True or False: A concave quadrilateral has at least one interior angle greater than 180 degrees.
True.
What is a convex quadrilateral?
A convex quadrilateral is a quadrilateral where all interior angles are less than 180 degrees.
Fill in the blank: The area of a rectangle can be calculated using the formula _______.
length × width.
What is the formula for the area of a trapezoid?
The area of a trapezoid is given by the formula A = 1/2 × (b1 + b2) × h, where b1 and b2 are the lengths of the bases and h is the height.
What is a right angle?
A right angle is an angle that measures exactly 90 degrees.
True or False: The diagonals of a square are equal in length.
True.
What is the perimeter of a quadrilateral?
The perimeter of a quadrilateral is the sum of the lengths of all its sides.
What type of quadrilateral has opposite sides that are equal and parallel?
A parallelogram.
Fill in the blank: A quadrilateral with one pair of parallel sides is called a _______.
trapezoid.
What is the property of the angles in a parallelogram?
Opposite angles in a parallelogram are equal, and consecutive angles are supplementary.
True or False: A rhombus is a type of quadrilateral where all sides are equal in length.
True.
What is the formula to find the area of a kite?
The area of a kite can be calculated using the formula A = 1/2 × d1 × d2, where d1 and d2 are the lengths of the diagonals.
What is a cyclic quadrilateral?
A cyclic quadrilateral is a quadrilateral whose vertices all lie on a single circle.
Fill in the blank: The angles of a cyclic quadrilateral are related such that opposite angles _______.
are supplementary.
What is the length of the diagonals in a rectangle?
The length of the diagonals in a rectangle can be found using the Pythagorean theorem: d = √(length² + width²).
True or False: The area of a square is calculated with the formula A = side².
True.
What type of quadrilateral has four equal angles?
A square.
What is the relationship between the sides of a rectangle and a square?
A square is a special type of rectangle where all sides are equal.
Fill in the blank: The formula for the perimeter of a rectangle is _______.
2 × (length + width).
What distinguishes a trapezoid from other quadrilaterals?
A trapezoid has at least one pair of parallel sides.
What is the area of a quadrilateral given the lengths of its sides using Brahmagupta’s formula?
The area can be calculated using A = √((s-a)(s-b)(s-c)(s-d)), where s is the semi-perimeter and a, b, c, d are the side lengths.
True or False: A rectangle can be classified as a rhombus.
False.
