If all squares are rectangles and some rectangles are blue, which of the followi

Practice Questions

Q1
If all squares are rectangles and some rectangles are blue, which of the following is true?
  1. All squares are blue
  2. Some squares are blue
  3. No squares are blue
  4. Some rectangles are squares

Questions & Step-by-Step Solutions

If all squares are rectangles and some rectangles are blue, which of the following is true?
  • Step 1: Understand that all squares are a type of rectangle. This means every square can be classified as a rectangle.
  • Step 2: Recognize that some rectangles can be blue. This means there are rectangles that are colored blue.
  • Step 3: Since all squares are rectangles, it is possible that some of those rectangles (which can be blue) are also squares.
  • Step 4: Conclude that it is true that some rectangles can be squares, and some of those squares could be blue.
  • Logical Relationships – Understanding the relationship between different geometric shapes and their properties.
  • Venn Diagrams – Using Venn diagrams to visualize the relationships between sets (squares, rectangles, and colors).
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