Which of the following statement is always true? A. Every parallelogram is a rectangle B. Every quadrilateral is a parallelogram C. Every square is a rectangle D. Every rectangle is a square
A square is a special type of rectangle where all four sides are equal in length. By definition, a rectangle is a four-sided shape with opposite sides that are parallel and equal in length, and all four angles are right angles. Since a square meets all these requirements for a rectangle, it is always true that every square is a rectangle.
Option A is not always true because a parallelogram can only be a rectangle if its angles are all right angles, which is not always the case.
Option B is not always true because not all quadrilaterals have opposite sides that are parallel, which is a requirement for a parallelogram.
Option D is not always true because a rectangle can have different side lengths, while a square has four sides of equal length.
Answers & Comments
Answer:
The statement that is always true is:
C. Every square is a rectangle.
A square is a special type of rectangle where all four sides are equal in length. By definition, a rectangle is a four-sided shape with opposite sides that are parallel and equal in length, and all four angles are right angles. Since a square meets all these requirements for a rectangle, it is always true that every square is a rectangle.
Option A is not always true because a parallelogram can only be a rectangle if its angles are all right angles, which is not always the case.
Option B is not always true because not all quadrilaterals have opposite sides that are parallel, which is a requirement for a parallelogram.
Option D is not always true because a rectangle can have different side lengths, while a square has four sides of equal length.
Answer:
A. Every parallelogram si a rectangle