If the statement 'All squares are rectangles' is true, which of the following must also be true?
Practice Questions
1 question
Q1
If the statement 'All squares are rectangles' is true, which of the following must also be true?
All rectangles are squares.
Some rectangles are not squares.
No rectangles are squares.
Some squares are not rectangles.
If all squares are rectangles, it implies that there are rectangles that are not squares, thus some rectangles are not squares.
Questions & Step-by-step Solutions
1 item
Q
Q: If the statement 'All squares are rectangles' is true, which of the following must also be true?
Solution: If all squares are rectangles, it implies that there are rectangles that are not squares, thus some rectangles are not squares.
Steps: 3
Step 1: Understand the statement 'All squares are rectangles'. This means every square fits the definition of a rectangle.
Step 2: Recognize that if all squares are rectangles, there can be rectangles that are not squares. This is because rectangles can have different shapes, not just squares.
Step 3: Conclude that since there are rectangles that are not squares, it must be true that some rectangles are not squares.
