Final answer:
To draw a perpendicular line at point P on line segment CD, use a ruler to measure the line CD, mark point P, then use a set square to form a 90-degree angle at P and draw the perpendicular line.
Step-by-step explanation:
Drawing a Perpendicular Line Using a Ruler and Set Square
To draw a line segment CD and construct a perpendicular at a point P on it using a ruler and set square, follow these step-by-step instructions:
- Using a ruler, draw a straight line segment and label the ends as points C and D.
- Mark a point P on the line segment CD where you want the perpendicular to intersect.
- Place a set square with one of its right angles against the ruler so that it aligns perfectly with point P on the line segment.
- Hold the set square firmly in place and draw a line starting from point P and moving away from the line segment CD. This new line should intersect with point P and form a 90-degree angle, creating a perpendicular line to CD at P.
- To verify that the line drawn is indeed perpendicular, you may use a protractor to measure the angle formed at point P. It should be exactly 90 degrees.
By using a ruler and set squares accurately, you can create perfect perpendiculars every time, which is an essential skill in geometry.