Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

l n k m quadrilateral parallelogram rectangle

Question

l n k m quadrilateral parallelogram rectangle

Explanation:

Brief Explanations
  1. Quadrilateral: A quadrilateral is a four - sided polygon. The figure \(KLMN\) has four sides (\(KL\), \(LM\), \(MN\), \(NK\)), so it is a quadrilateral.
  2. Parallelogram: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. In the figure, from the appearance (assuming the sides are parallel as it looks like a rectangle - like shape), opposite sides are parallel ( \(KL\parallel MN\) and \(KN\parallel LM\)), so it is a parallelogram.
  3. Rectangle: A rectangle is a parallelogram with four right angles. The figure has right - angled markings at each vertex (\(K\), \(L\), \(M\), \(N\)), so all angles are right angles. Since it is a parallelogram with four right angles, it is a rectangle.

Answer:

  • Quadrilateral (checked, as it has 4 sides)
  • Parallelogram (checked, as opposite sides are parallel)
  • Rectangle (checked, as it is a parallelogram with 4 right angles)