Question

question 6 of 10 is the following shape a rectangle? how do you know? a. no, the adjacent sides are not perpendicular. b. there is not enough information to determine. c. yes, the adjacent sides are perpendicular, and the opposite sides are parallel. d. no, because the figure is not a quadrilateral.

Explanation:

A rectangle is defined as a quadrilateral with four right angles (so adjacent sides are perpendicular) and opposite sides parallel and equal in length. By analyzing the shape (even from the grid - like coordinate system context), we can check the properties: adjacent sides should be perpendicular (forming 90 - degree angles) and opposite sides should be parallel. Option A is incorrect as the shape does have perpendicular adjacent sides. Option B is wrong as we can determine using the definition of a rectangle. Option D is incorrect as the figure is a quadrilateral (has four sides). So the correct answer is C as it matches the properties of a rectangle.

Answer:

C. Yes, the adjacent sides are perpendicular, and the opposite sides are parallel.