A quadrilateral has opposite sides that are both parallel and congruent. What type of quadrilateral must it be?
A Trapezoid
B Rhombus
C Parallelogram
D Kite
Explanation
📌 Step 1: Recall quadrilateral properties
• Parallelogram: Both pairs of opposite sides are parallel AND congruent
• Rectangle: Parallelogram with 4 right angles
• Rhombus: Parallelogram with 4 equal sides
• Trapezoid: Exactly ONE pair of parallel sides
📌 Step 2: Match the given properties
"Opposite sides are both parallel and congruent" → This is the definition of a parallelogram.
💡 Tip: Every rectangle, rhombus, and square IS a parallelogram, but not every parallelogram is a rectangle/rhombus/square.