Question: If \'X\' is a square and \'Y\' is a rectangle, which of the following is true?
Options:
All squares are rectangles.
All rectangles are squares.
X is not a rectangle.
Y is a square.
Correct Answer: All squares are rectangles.
Solution:
All squares are rectangles because they meet the definition of a rectangle.
If 'X' is a square and 'Y' is a rectangle, which of the following is true?
Practice Questions
Q1
If 'X' is a square and 'Y' is a rectangle, which of the following is true?
All squares are rectangles.
All rectangles are squares.
X is not a rectangle.
Y is a square.
Questions & Step-by-Step Solutions
If 'X' is a square and 'Y' is a rectangle, which of the following is true?
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: Compare the definitions. Since a square has four right angles and opposite sides that are equal (which are also equal in length), it fits the definition of a rectangle.
Step 4: Conclude that all squares are rectangles because they meet the criteria of having four right angles and opposite sides that are equal.
Properties of Shapes – Understanding the definitions and properties of geometric shapes, specifically the relationship between squares and rectangles.
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