Quadrilateral And Its Types Quiz

A square is a quadrilateral with 4 equal sides and right angles. It is the only option among the given choices that satisfies both conditions. A trapezoid can have different side lengths and angles, a rectangle has 4 right angles but its sides are not necessarily equal, and a parallelogram can have equal sides but its angles are not necessarily right angles. Therefore, the correct answer is square.

A rectangle is a quadrilateral with 2 pairs of parallel sides and 4 right angles. It is the only option that satisfies all the given conditions. A trapezoid has only one pair of parallel sides, a square has equal sides but not necessarily parallel sides, and a rhombus has equal sides but not necessarily right angles. Therefore, the correct answer is rectangle.

A triangle is not a type of quadrilateral because a quadrilateral is a polygon with four sides, while a triangle is a polygon with three sides. The other options, rhombus, square, and trapezoid, are all types of quadrilaterals because they have four sides.

A kite is a type of quadrilateral that has two pairs of adjacent sides that are of equal length. This is similar to a kite that you can fly, where the two longer sides and the two shorter sides are equal in length.

Option 1 shows a group of two figures, each of which is a quadrilateral. Therefore, Option 1 is the correct answer as it displays a group of quadrilaterals.

The interior angles of a quadrilateral always add up to 360 degrees. This is a property of quadrilaterals and can be proven mathematically. Each angle in a quadrilateral contributes to the total sum of 360 degrees, regardless of the specific shape or size of the quadrilateral. Therefore, the correct answer is 360.

A quadrilateral is a two-dimensional shape that has 4 sides, not 3 sides. Therefore, statement D is not true.

The perimeter of a square is equal to the sum of all its sides. Since a square has four equal sides, the perimeter will be four times the length of one side. Therefore, the correct answer is 4.

Quadrilaterals with 2 sets of parallel sides are called parallelograms. This means that opposite sides of a parallelogram are parallel to each other. Square, rectangle, and rhombus are also types of quadrilaterals, but they have specific characteristics that differentiate them from parallelograms. A square has all sides equal and all angles equal to 90 degrees. A rectangle has opposite sides equal and all angles equal to 90 degrees. A rhombus has all sides equal, but opposite angles are equal, not necessarily 90 degrees. Therefore, the correct answer is parallelogram.

A kite is a quadrilateral with two pairs of adjacent sides that are congruent. Unlike a parallelogram, its opposite sides are not parallel. Kites also have one pair of opposite angles that are congruent and diagonals that intersect at right angles, with one diagonal bisecting the other.