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PERPENDICULAR AND
PARALLEL LINES
PARALLEL LINES Parallel lines are lines that do
not intersect. No matter how far you extend them, they will
never meet.Lines are parallel if they are
the same distance apart.
PERPENDICULAR LINES
A line is perpendicular to another if it meets or
crosses it at right angles (90°).
HOW TO DRAW PERPENDICULAR AND PARALLEL
LINES
YOU NEED THESE TECHNICAL DRAWING TOOLS:
Triangular set square
There are two types of set squares and they are named according to their angles.
It’s an isosceles triangle. Two sides make a 90º angle
and its hypotenuse forms a 45º angle with each of the other two sides.
45º Triangular set square
It is a scalene triangle. Its shortest side is half of its hypotenuse. The two sides make a 90º angle, and the hypotenuse makes a 60º
angle with one of the sides and a 30º angle with the
other.
60º Triangular set square
DRAWING PARALLEL AND
PERPENDICULAR LINES
Draw a straight line. Put the 45º triangular set square on the line.
The 60º triangular set square should be handled with care, press on it lightly when drawing so it doesn’t move.
Then, you should move the 45º triangular set square and make the parallel lines.
Turn the 45º triangular set square. Don´t move the 60º triangular set square.
Draw the perpendicular lines by moving the 45º triangular set square. As you can see, the vertical lines are perpendicular to the horizontal ones.
ACTIVITY
Materials needed
•A pencil.•Triangular set square•Coloured pencils
First step: Draw a horizontal line on your worksheet. Then, draw parallel and
perpendicular lines with your triangular set squares to make an
original composition.
Draw an oblique line at 45º (look at the example). Then, draw parallel
and perpendicular lines with your triangular set squares.
Second step:
Using the lines, draw and color different geometric shapes to make
an original composition.
Third step:
Carpenter Center for Visual Arts, Cambridge, U.S.A.
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