Constructing Perpendicular Lines and Arcs

This video tutorial demonstrates how to construct a line perpendicular to a given line segment AB that passes through a specific point P. The process involves setting a compass on point P, adjusting its length, and drawing arcs to find intersection points. These points are labeled, and a new intersection point is created. Finally, a line is drawn through the specified points to form the perpendicular line, and the construction is verified.

What is the initial goal of the video?

• To construct a parallel line

• To measure an angle

• To construct a perpendicular line

• To bisect a line segment

Where should the compass be set initially?

• On point C

• On point A

• On point B

• On point P

What is the purpose of adjusting the compass length?

• To draw a circle

• To extend it to the other side of line segment AB

• To measure the length of AB

• To bisect the line segment

How many times should the arcs intersect line segment AB?

• Once

• Twice

• Four times

• Three times

What are the labels given to the intersection points?

• X and Y

• C and D

• P and Q

• A and B

Where should the compass be set after labeling the intersection points?

• On point A

• On point B

• On point C

• On point P

What is the next step after setting the compass on point C?

• Constructing an arc

• Drawing a line

• Labeling a point

• Measuring an angle

What should be done after constructing the new intersection point?

• Label the new point

• Erase the arcs

• Draw a circle

• Change the compass length

What is the final step in the construction?

• Labeling the line segment

• Measuring the angle

• Drawing a line through points P and E

• Constructing another arc

What is the measure of the angle formed by the perpendicular line and line segment AB?

• 120 degrees

• 45 degrees

• 60 degrees

• 90 degrees