Count the Vertices: Identifying Points A through J in a Geometric Figure

How many vertices are shown in the figure?

CCCDDDEEEFFFAAABBBIIIJJJGGGHHH

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Step-by-step video solution

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00:00 How many perpendicular lines are in the drawing?
00:03 A perpendicular line is a line that creates a right angle at its intersection point with another line
00:07 Therefore all these lines are perpendicular
00:21 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

How many vertices are shown in the figure?

CCCDDDEEEFFFAAABBBIIIJJJGGGHHH

2

Step-by-step solution

Note that perpendicular lines are straight lines that create a 90-degree angle at their intersection point.

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

CCCDDDEEEFFFAAABBBIIIJJJGGGHHH

The lines that create the marked right angles are:

AB is perpendicular to CD

AB is perpendicular to EF

EF is perpendicular to IJ

IJ is perpendicular to GH

Therefore, there are 4 perpendicular lines in the drawing.

3

Final Answer

5

Practice Quiz

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Determine which lines are parallel to one another?

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