Rectangle Geometry: Is Side BD Perpendicular to DC?

Question

Is side BD perpendicular to DC in the rectangle shown below?

00:00 Is BD perpendicular to CD?

00:03 A perpendicular creates a right angle at the intersection point between the lines

00:06 In a rectangle, all angles are right angles

00:11 There is a right angle between BD and CD, therefore they are perpendicular

00:15 And this is the solution to the question

As we know, in a rectangle all angles are equal to 90 degrees.

Let's mark all the angles in the rectangle:

Now, let's find the intersection point of side BD and side DC and draw T as follows:

We should note that indeed the lines form a 90-degree angle, and therefore the lines are perpendicular.

Yes