Math Problem Statement

How can you change this parallelogram so that it’s also a rectangle?

Solution

The problem asks: How can you change this parallelogram so that it’s also a rectangle?

Correct Answer:

"Give it 4 right angles."

Explanation:

  • A parallelogram becomes a rectangle when all its interior angles are 90° (right angles).
  • Extending or shortening the sides does not ensure the figure becomes a rectangle.
  • A rectangle is defined as a quadrilateral where:
    1. Opposite sides are equal.
    2. All angles are right angles (90°).

Would you like a detailed explanation of parallelograms and rectangles or have any questions?

Related Questions:

  1. What are the differences between a parallelogram and a rectangle?
  2. How can a parallelogram also be a square?
  3. What properties of a parallelogram always apply to a rectangle?
  4. Can you name other quadrilaterals with 4 right angles?
  5. How do you calculate the area of a rectangle versus a parallelogram?

Tip:

A square is a special type of rectangle, so all squares are rectangles, but not all rectangles are squares!

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Math Problem Analysis

Mathematical Concepts

Quadrilaterals
Parallelograms
Rectangles
Angles

Formulas

Rectangle properties: All angles = 90°
Area of rectangle = length × width

Theorems

Definition of a rectangle
Properties of parallelograms

Suitable Grade Level

Grade 3-5