Quadrilaterals & Polygons Flashcards
9 cards from real Geometry practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 9 Quadrilaterals & Polygons flashcards as text
What is a quadrilateral?
Answer: A polygon with four sides
A quadrilateral is a fundamental type of polygon, specifically defined as a closed two-dimensional shape with exactly four straight sides and four vertices. Examples include squares, rectangles, rhombuses, and trapezoids. The term 'quad' means four, directly indicating its number of sides.
Which of the following is a type of quadrilateral?
Answer: Rectangle
A rectangle is a specific type of quadrilateral, meaning it is a polygon with four sides. It is characterized by having four right angles (90 degrees) and opposite sides that are equal in length and parallel. Other quadrilaterals include squares, rhombuses, and trapezoids.
What is a polygon?
Answer: A closed figure with straight line segments
A polygon is a closed two-dimensional shape made up entirely of straight line segments. These segments, called sides, connect at points called vertices, and each side intersects exactly two other sides. This definition excludes shapes with curves or open figures.
How many sides does a hexagon have?
Answer: Six
The prefix 'hexa-' in hexagon directly indicates the number six. Therefore, a hexagon is a polygon that is defined by having exactly six straight sides and six interior angles. Examples include regular hexagons, where all sides and angles are equal, and irregular hexagons.
Which quadrilateral has all sides equal and all angles equal?
Answer: Square
A square is a special type of quadrilateral that possesses two key properties: all four of its sides are equal in length, and all four of its interior angles are right angles (90 degrees). This makes it both a rhombus (all sides equal) and a rectangle (all angles 90 degrees).
What defines a parallelogram?
Answer: Opposite sides are parallel and equal
A parallelogram is a quadrilateral characterized by having two pairs of parallel sides. A key property is that its opposite sides are not only parallel but also equal in length, and its opposite angles are equal. Rectangles, squares, and rhombuses are all specific types of parallelograms.
What is the sum of interior angles of a quadrilateral?
Answer: 360 degrees
The sum of the interior angles of any quadrilateral is always 360 degrees. This property holds true for all types of quadrilaterals, whether they are regular or irregular, convex or concave. This can be understood by dividing any quadrilateral into two triangles, each having an angle sum of 180 degrees.
Which polygon has five sides?
Answer: Pentagon
A pentagon is a polygon specifically defined by having five straight sides and five interior angles. The prefix 'penta-' means five, directly indicating its number of sides. A regular pentagon has all sides and all angles equal.
Which shape is classified as a regular polygon?
Answer: Regular hexagon
A regular polygon is a polygon that is both equilateral (all sides are equal in length) and equiangular (all interior angles are equal in measure). A regular hexagon fits this definition perfectly, as all six of its sides are equal and all six of its interior angles are equal. Rectangles, scalene triangles, and trapezoids are generally not regular polygons unless specific conditions are met (e.g., a square is a regular rectangle).