WEBVTT
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What is the intersection of the planes ππ΄π΅ and ππ΅πΆ?
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To answer this question, letβs first recall the geometric postulate regarding the intersection of two planes.
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It tells us that if two planes intersect, then the intersection is a line.
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So if the planes ππ΄π΅ and ππ΅πΆ do intersect, then the type of intersection weβre looking for is a line.
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Letβs now add some shading to the diagram so that we can see these planes more clearly.
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The plane ππ΄π΅ is now shaded in pink and the plane ππ΅πΆ is now shaded in orange.
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By doing this, we can see the line that is common to both planes.
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Itβs the line ππ΅.
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Hopefully, youβll find this fairly intuitive as the points π and π΅ are common to both planes.
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So our answer to the problem is that the intersection of the planes ππ΄π΅ and ππ΅πΆ is the line ππ΅.