I'm confused about a question on a math test. The question is: Which statement is a true statement? The answer choices are: A. All rectangles are squares B. All squares are rectangles C. Every rhombus is a rectangle D. Every rectangle is a rhombus. I really need help. Thanks!
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Thank you very much, Ms. Sue; I got that question right, and, even though I didn't ask about any other questions, I got 100% on the test!!! :D Thank you for your assistance.
Congratulations! And you're welcome.
THANKYOU MS.SUE!
Thanks miss sue it helped
Sure! Let's break down the question and each answer choice to help you determine the true statement.
A. All rectangles are squares: To determine if this statement is true or false, we need to understand the definitions of rectangles and squares. Recall that a rectangle is a quadrilateral with four right angles, but the length of each side may vary. A square, on the other hand, is a special type of rectangle in which all sides are equal in length. Therefore, this statement is false because not all rectangles are squares.
B. All squares are rectangles: This statement is true. As mentioned above, a square is a special type of rectangle where all sides are equal in length. Since a square meets the criteria of a rectangle (four right angles), this statement is correct.
C. Every rhombus is a rectangle: To determine if this statement is true or false, we need to understand the definitions of a rhombus and a rectangle. A rhombus is a quadrilateral with all sides equal in length, but its angles are not necessarily right angles, unlike a rectangle. Therefore, this statement is false because not every rhombus is a rectangle.
D. Every rectangle is a rhombus: This statement is false. A rectangle has four right angles and sides that are not all equal in length, while a rhombus has four equal sides but angles that are not all right angles. Hence, a rectangle cannot be a rhombus.
In summary, among the given answer choices, the true statement is B: "All squares are rectangles."