Question: If \'X\' is a square and \'Y\' is a rectangle, can \'Y\' be a square?
Options:
Yes
No
Only if \'X\' is a larger square
Cannot be determined
Correct Answer: No
Solution:
No, a rectangle cannot be a square unless all sides are equal, which is not guaranteed.
If 'X' is a square and 'Y' is a rectangle, can 'Y' be a square?
Practice Questions
Q1
If 'X' is a square and 'Y' is a rectangle, can 'Y' be a square?
Yes
No
Only if 'X' is a larger square
Cannot be determined
Questions & Step-by-Step Solutions
If 'X' is a square and 'Y' is a rectangle, can 'Y' be a square?
Step 1: Understand what a square is. A square is a shape with four equal sides and four right angles.
Step 2: Understand what a rectangle is. A rectangle is a shape with four sides and four right angles, but the sides can be of different lengths.
Step 3: Consider the definition of a square. For a rectangle to be a square, all four sides must be equal in length.
Step 4: Realize that not all rectangles have equal sides. Most rectangles have two longer sides and two shorter sides.
Step 5: Conclude that a rectangle (Y) can only be a square if it meets the condition of having all sides equal, which is not always the case.
Square vs Rectangle – A square is a specific type of rectangle where all sides are equal, while a rectangle has opposite sides equal but not necessarily all sides.
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