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Which of these figures must be a rectangle?

A.) aParallelogram with four congruent sides.

B.) a trapezoid with at least one right angle

C.) a trapezoid with two congruent sides

D.) a Parallelogram with at least one right angle

Verified Answer :

Answer: A parallelogram with at least one right angle

Step-by-step explanation:

A Parallelogram with at least one right angle

What is rectangle?

A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°. Observe the rectangle given below to see its shape, sides and angles.

Properties of a Rectangle

A rectangle is a closed figure which has four sides and the angle formed by adjacent sides is 90°. A rectangle can have a wide range of properties. Some of the important properties of a rectangle are given below.

  • A rectangle is a quadrilateral.
  • The opposite sides of a rectangle are equal and parallel to each other.
  • The interior angle of a rectangle at each vertex is 90°.
  • The sum of all interior angles is 360°.
  • The diagonals bisect each other.
  • The length of the diagonals is equal.
  • The length of the diagonals can be obtained using the Pythagoras theorem. The length of the diagonal with sides a and b is, diagonal = √( a2 + b2).
  • Since the sides of a rectangle are parallel, it is also called a parallelogram.
  • All rectangles are parallelograms but all parallelograms are not rectangles.

A parallelogram have opposite side equal and parallel.

Also, if a parallelogram have one of its angle right angle then it can show the property of rectangle.

Hence, the Parallelogram with at least one right angle can be rectangle.

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