Math Problem Statement

If a parallelogram has two pairs of parallel sides and one pair of equal sides, then it must be a:

Solution

The image contains a multiple-choice question that reads:

"If a parallelogram has two pairs of parallel sides and one pair of equal sides, then it must be a:"

The options provided are:

  • A. parallelogram
  • B. rhombus
  • C. rectangle
  • D. trapezoid
  • E. kite

Solution:

A parallelogram is defined by having two pairs of parallel sides. However, if it also has one pair of equal sides, it specifically describes a rhombus. A rhombus is a type of parallelogram where all sides are equal in length, and opposite sides are parallel.

Answer:

B. rhombus

Would you like further details on why this is the correct answer or have any questions?

Related Questions:

  1. What are the key properties that define a rhombus?
  2. How does a rectangle differ from a rhombus in terms of its properties?
  3. Can a parallelogram be classified as a trapezoid? Why or why not?
  4. What is the difference between a parallelogram and a kite?
  5. How can the angles of a rhombus be described?

Tip:

Remember that every rhombus is a parallelogram, but not every parallelogram is a rhombus. The key difference lies in the equality of all sides in a rhombus.

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Math Problem Analysis

Mathematical Concepts

Geometry
Parallelograms
Rhombus

Formulas

Properties of Parallelograms
Properties of Rhombus

Theorems

Parallelogram Theorem
Rhombus Theorem

Suitable Grade Level

Grades 6-8