The image shows a quadrilateral with vertices labeled as K, E, M, and P. The task at hand involves identifying the type of quadrilateral that is described as KEMP. The provided reasoning states that KEMP is a parallelogram because both sets of opposite sides are equal.

Let’s break this down:

1. The quadrilateral KEMP:

• The sides are labeled with measurements.
• Opposite sides are marked as equal, which is a defining characteristic of parallelograms.

2. Explaining the reasoning:

• In a parallelogram, opposite sides are always equal in length.
• From the image, the opposite sides $KE \parallel MP$ and $EM \parallel KP$ are labeled as having equal lengths (e.g., 10 and 10, 18 and 18), which confirms that this quadrilateral is a parallelogram.

Answer to the question:

KEMP is a parallelogram because opposite sides are equal in length.

Would you like to explore any specific aspect of parallelograms further? Here are some related questions you might find interesting:

1. What are the properties of a parallelogram besides equal opposite sides?
2. How do we prove a quadrilateral is a parallelogram using angles?
3. What are the differences between a rectangle and a rhombus?
4. How can the diagonals of a parallelogram help in identifying its type?
5. Can a square be considered a type of parallelogram?

Tip: Remember, in parallelograms, not only the opposite sides are equal, but the opposite angles are also congruent.