### Video Transcript

I want to join two vertices in this
shape with a straight line so I can create two new polygons which have the same
number of sides. Which vertices could I join? π΅ and πΉ, π΄ and πΈ, π΅ and πΈ, or
π΄ and πΆ.

In this question, we have to join
two vertices from the given shape with a straight line to create two new polygons
which both have the same number of sides. If we join the vertices π΅ and πΉ,
we get two new polygons. But do they both have the same
number of sides? One of our polygons has three
sides. The other has five sides. So we know itβs not π΅ and πΉ.

If we join the two vertices π΄ and
πΈ, we get two new polygons. And again, one of our polygons is a
triangle with three sides, and the other shape has five sides. One, two, three, four, five. What happens if we join the
vertices π΅ and πΈ? Weβve made two new polygons, and it
looks like they both have the same number of sides. One, two, three, four. And our second new polygon also has
one, two, three, four sides.

If we join the two vertices π΅ and
πΈ in this shape, we can create two new polygons which have the same number of
sides. Both have four sides. We joined vertices π΅ and πΈ.