Count Vertices in a Geometric Figure: Identifying Points A through F

Question

How many vertices are shown in the figure?

AAABBBCCCDDDEEEFFF

Video Solution

Solution Steps

00:00 How many perpendicular lines are in the drawing?
00:03 A perpendicular line is a line that forms a right angle at the intersection point with another line
00:11 Therefore all these lines are perpendicular
00:43 And this is the solution to the question

Step-by-Step Solution

Note that perpendicular lines are straight lines that create a right angle of 90 degrees at their intersection point.

Let's locate the intersection points that create the right angles in the drawing.

The lines that create the right angles are:

AB is perpendicular to BC

BC is perpendicular to CD

CD is perpendicular to DA

DA is perpendicular to AB

BC is perpendicular to EF

AD is perpendicular to EF

Therefore, in the drawing there are 6 perpendicular lines.

Answer

6