Question

How do I prove that the figure is a rectangle ? I really need help I don’t know what to do.

Answer 1

Answer:

If all angles in a quadrilateral are right angles, then it’s a rectangle (reverse of the rectangle definition). (Actually, you only need to show that three angles are right angles — if they are, the fourth one is automatically a right angle as well.)

If the diagonals of a parallelogram are congruent, then it’s a rectangle (neither the reverse of the definition nor the converse of a property).

If a parallelogram contains a right angle, then it’s a rectangle (neither the reverse of the definition nor the converse of a property).

Tip: Do the following to visualize why this method works: Take an empty cereal box and push in the top flaps. If you then look into the empty box, the top of the box makes a rectangular shape, right? Now, start to crush the top of the box — you know, like you want to make it flat before putting it in the trash. As you start to crush the top of the box, you see a parallelogram shape. Now, after you’ve crushed it a bit, if you take this parallelogram and make one of the angles a right angle, the whole top has to become a rectangle again. You can’t make one of the angles a right angle without the other three also becoming right angles.

Step-by-step explanation:

Answer 2

Hey, sorry I couldn't help you more on this but, to me it doesn't really look like a rectangle, but it could be the pov of the camera. In order for something to be a rectangle it has to follow these four rules:

- The opposite sides are parallel and congruent

- The diagonals bisect each other

- There are four right angles

- The diagonals are congruent