FREE Geometry Quadrilateral Questions and Answers
Which of the following has four equal sides, a right angle, and is a quadrilateral?
Correct Answer: Square
A quadrilateral with four equal sides and right angles is called a square. Of the options provided, it is the only one that meets both requirements. A parallelogram can have equal sides but not necessarily equal angles, a trapezoid can have different side lengths and angles, and a rectangle can have four right angles but not necessarily equal sides. Thus, square is the right response.
With four right angles, a quadrilateral is a
Correct Answer: All of the above
Since all of a square's sides are the same length and all of its angles are equal to ninety degrees, a quadrilateral with four right angles is a square. Furthermore, since a rectangle has all of its angles equal to 90 degrees and its opposing sides of equal length, a quadrilateral with four right angles is also a rectangle. The correct response is "All of the above" since both the square and the rectangle meet the requirement of having four right angles.
A square's perimeter is equal to __ times its side length.
Correct Answer: 4
A square's perimeter is the total of all of its sides. The perimeter of a square is equal to the length of each of its four equal sides. Thus, option four is the right response.
Of the following, which is not true regarding quadrilaterals?
Correct Answer: A quadrilateral is a two-dimensional shape which has 3 sides.
A two-dimensional shape with four sides as opposed to three is called a quadrilateral. As a result, assertion D is untrue.
Except for one, each of the options below is a type of quadrilateral.
Correct Answer: Triangle
Since a triangle is a polygon with three sides as opposed to a quadrilateral's four, a triangle is not a type of quadrilateral. Due to their four sides, the other options—the rhombus, square, and trapezoid—are also classified as quadrilaterals.
Two sets of parallel sides and four right angles make up a quadrilateral.
Correct Answer: Rectangle
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.
________ are quadrilaterals that have two sets of parallel sides.
Correct Answer: Parallelogram
Parallelograms are quadrilaterals that have two sets of parallel sides. This indicates that a parallelogram's opposing sides are parallel to one another. Quadrilaterals also include square, rectangle, and rhombus shapes, but they differ from parallelograms in a few key ways. Every side and every angle in a square is equal to ninety degrees. Every angle in a rectangle is equal to ninety degrees, as are the opposite sides. A rhombus has all sides equal, but opposite angles are equal, not necessarily 90 degrees. Parallelogram is the proper response as a result.