Rectangle Geometry: Is Side BD Perpendicular to DC?

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

AAABBBDDDCCC

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

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

AAABBBDDDCCC

2

Step-by-step solution

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

Let's mark all the angles in the rectangle:

AAABBBDDDCCC

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

AAABBBDDDCCC

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

3

Final Answer

Yes

Practice Quiz

Test your knowledge with interactive questions

Determine which lines are parallel to one another?

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Parallel and Perpendicular Lines questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations

Perpendicular Lines

Parallel Lines in Cross Pattern: Identifying 6 Line Pairs with Right Angles
Click to solve
Perpendicular Lines Analysis: Identifying 4 Pairs in an Arrow-Shaped Figure
Click to solve