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

In a rectangle, the sum of all angles equals 90 degrees.

Let's mark all the angles in the rectangle:

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

At this point it is clear that the lines do indeed form a 90-degree angle and are, therefore, perpendicular.

Yes