Math Problem Statement
Solution
From the image provided, the task is to identify all the rectangles. A rectangle is defined as a quadrilateral with:
- Opposite sides parallel and equal in length.
- 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:
- What other quadrilaterals have right angles besides rectangles?
- How can we distinguish a rectangle from a parallelogram?
- Why is a square considered a special type of rectangle?
- How do diagonals behave in a rectangle versus other quadrilaterals?
- 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
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