Math Problem Statement

Select all the rectangles.

Solution

From the image provided, the task is to identify all the rectangles. A rectangle is defined as a quadrilateral with:

  1. Opposite sides parallel and equal in length.
  2. All interior angles equal to 90 degrees.

In this case:

  • The first shape (yellow) is a rectangle.
  • The second shape (green) is not a rectangle because opposite sides are not parallel.
  • The third shape (blue) is not a rectangle because opposite sides are not parallel, even though it has right angles.
  • The fourth shape (orange) is not a rectangle for similar reasons.
  • The fifth shape (purple) is a rhombus, not a rectangle.

Thus, the only correct rectangle is the yellow quadrilateral in the top-left corner.

If you have further questions or would like me to clarify this more, let me know!

Here are 5 related questions to expand understanding:

  1. What other quadrilaterals have right angles besides rectangles?
  2. How can we distinguish a rectangle from a parallelogram?
  3. Why is a square considered a special type of rectangle?
  4. How do diagonals behave in a rectangle versus other quadrilaterals?
  5. How do properties of symmetry help in identifying rectangles?

Tip: Always check the angles and parallel sides when identifying rectangles in a geometric diagram!

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Math Problem Analysis

Mathematical Concepts

Geometry
Quadrilaterals
Rectangles

Formulas

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Theorems

Definition of a rectangle
Properties of quadrilaterals

Suitable Grade Level

Grades 5-7