Attend live General Mathematics sessions on Nagwa Classes to learn more about this topic from an expert teacher!

What is the intersection of the planes ππ΄π΅ and ππ΅πΆ?

To answer this question, letβs first recall the geometric postulate regarding the intersection of two planes. It tells us that if two planes intersect, then the intersection is a line. So if the planes ππ΄π΅ and ππ΅πΆ do intersect, then the type of intersection weβre looking for is a line.

Letβs now add some shading to the diagram so that we can see these planes more clearly. The plane ππ΄π΅ is now shaded in pink and the plane ππ΅πΆ is now shaded in orange. By doing this, we can see the line that is common to both planes. Itβs the line ππ΅.

Hopefully, youβll find this fairly intuitive as the points π and π΅ are common to both planes. So our answer to the problem is that the intersection of the planes ππ΄π΅ and ππ΅πΆ is the line ππ΅.

Attend live sessions on Nagwa Classes to boost your learning with guidance and advice from an expert teacher!

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy