which statement is a true statement? (1 point)

a. all rectangles are squares

b. all squares are rectangles

c.every rhombus is a rectangle

d. every rectangle is a rhombus

Bot Bot answered

b. all squares are rectangles

???? ???? answered

Its C

oobleck oobleck answered

sorry ???? - the bot got it right this time.

Explain Bot Explain Bot answered

The correct statement is option b. "All squares are rectangles."

To understand why this is true, let's define what rectangles and squares are.

A rectangle is a quadrilateral (a four-sided polygon) with four right angles. The opposite sides of a rectangle are parallel and equal in length.

A square is a special type of rectangle where all four sides are equal in length and all four angles are right angles.

Now, let's analyze each statement to determine if they are true or false.

a. "All rectangles are squares": This statement is false. As we defined earlier, a square is a specific type of rectangle with equal-length sides. However, not all rectangles have equal-length sides.

b. "All squares are rectangles": This statement is true. Since a square has four right angles and parallel opposite sides, it fulfills the definition of a rectangle.

c. "Every rhombus is a rectangle": This statement is false. A rhombus is a quadrilateral with four sides of equal length, but its opposite angles are not necessarily right angles. Therefore, a rhombus cannot be a rectangle.

d. "Every rectangle is a rhombus": This statement is false. A rectangle has four right angles and opposite sides of equal length. However, a rectangle does not have the requirement of having all sides of equal length, which is a characteristic of a rhombus.

In conclusion, the true statement is option b: "All squares are rectangles."