Constructing Angles with Compass and Protractor

This video tutorial teaches how to construct an angle congruent to a given angle using a protractor, compass, pencil, and ruler. The process involves setting up an example with points and an angle, drawing arcs with a compass, and constructing a congruent angle. The construction is verified using a protractor to ensure the angles are equal, demonstrating the congruency of the constructed angle to the given angle.

What tools are necessary for constructing an angle congruent to a given angle?

• Protractor, compass, eraser, and calculator

• Protractor, compass, pencil, and calculator

• Protractor, compass, eraser, and ruler

• Protractor, compass, pencil, and ruler

In the example provided, what is the measure of angle ABC?

• 45 degrees

• 40 degrees

• 30 degrees

• 35 degrees

What is the first step after drawing a new horizontal line?

• Mark points A and B

• Measure the angle

• Mark points P and Q

• Draw an arc

How do you draw an arc on the given angle?

• Using a pencil

• Using a ruler

• Using a protractor

• Using a compass with a convenient radius

What is the purpose of using a compass in this construction?

• To measure angles

• To draw arcs

• To mark points

• To draw straight lines

What is the next step after drawing the arc on the given angle?

• Join points P and Q

• Measure the angle

• Adjust the compass radius

• Draw another arc on the right side

Why is it important to not change the compass radius when drawing the second arc?

• To make the arcs identical

• To ensure the arcs are parallel

• To maintain the same arc length

• To keep the arcs perpendicular

What should be done after marking point G?

• Draw a line through G

• Adjust the compass to match the distance between D and E

• Measure the angle at G

• Erase the previous arc

What is the significance of point H in the construction?

• It is the center of the circle

• It is the endpoint of the line

• It is the midpoint of the arc

• It is the intersection of two arcs

How do you verify the constructed angle?

• By using a calculator

• By using a compass

• By using a ruler

• By using a protractor