Math Problem Statement

A _______ has two pairs of equal and parallel sides. Angles at opposite corners have the same measurements. What quadrilateral is being described?

Solution

The question in the image asks: "A _______ has two pairs of equal and parallel sides. Angles at opposite corners have the same measurements. What quadrilateral is being described?"

The options are:

  • A. square
  • B. rhombus
  • C. trapezoid
  • D. parallelogram

Answer:

The correct answer is D. parallelogram.

A parallelogram is defined as a quadrilateral with two pairs of parallel sides, where opposite angles are equal, which fits the description provided in the question.

Would you like further details on why the other options do not fit this description?

Here are 5 related questions for practice:

  1. What are the properties of a square compared to a parallelogram?
  2. How do you distinguish a trapezoid from other quadrilaterals?
  3. Can a rhombus be classified as a parallelogram? Why or why not?
  4. What makes a rectangle different from a parallelogram?
  5. How do you calculate the area of a parallelogram?

Tip: Always remember that the sum of the interior angles of any quadrilateral is 360 degrees.

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Math Problem Analysis

Mathematical Concepts

Quadrilaterals
Geometry

Formulas

None (conceptual understanding of shapes and angles)

Theorems

Properties of a Parallelogram

Suitable Grade Level

Grades 6-8