Is a square always a parallelogram? Choices: (A)yes (B)no

Define square and parallelogram: Step 1: Define a square and a parallelogram. A square is a quadrilateral with all sides equal and all angles equal to 90 degrees. A parallelogram is a quadrilateral where opposite sides are parallel and equal in length. Compare properties: Step 2: Compare properties. Since a square has all sides equal and angles of 90 degrees, its opposite sides are parallel and equal, which matches the definition of a parallelogram. Conclusion based on properties: Step 3: Conclusion based on properties. Since the properties of a square satisfy all the conditions of a parallelogram, a square must always be a parallelogram.

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Is a square always a parallelogram? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Math Problems

Grade 7

Classify quadrilaterals I

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Q. Is a square always a parallelogram?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Define square and parallelogram: Step $1$ : Define a square and a parallelogram. $\newline$ A square is a quadrilateral with all sides equal and all angles equal to $90$ degrees. A parallelogram is a quadrilateral where opposite sides are parallel and equal in length.
Compare properties: Step $2$ : Compare properties. $\newline$ Since a square has all sides equal and angles of $90$ degrees, its opposite sides are parallel and equal, which matches the definition of a parallelogram.
Conclusion based on properties: Step $3$ : Conclusion based on properties. $\newline$ Since the properties of a square satisfy all the conditions of a parallelogram, a square must always be a parallelogram.