Constructing and Plotting Root 2

The video tutorial explains how to plot the length of root 2 on a number line by constructing a right triangle with unit lengths. Using the Pythagorean theorem, the hypotenuse is calculated as root 2. The tutorial then demonstrates how to use a compass to plot this length on a number line, including how to plot minus root 2. Detailed construction steps are provided, including using a protractor and compass to ensure accuracy.

What is the first step in plotting root 2 on a number line?

• Draw a line segment of root 2 units.

• Create a right triangle with a base of one unit.

• Directly mark root 2 on the number line.

• Use a compass to draw an arc.

In constructing the right triangle, what is the length of the base OA?

• Root 2 units

• One unit

• Zero units

• Two units

How do we determine the length of OB in the triangle?

• Using the Pythagorean theorem

• By measuring directly with a ruler

• By estimation

• Using a protractor

What is the calculated length of OB using the Pythagorean theorem?

• Two units

• Root 2 units

• Root 3 units

• One unit

How do we transfer the length OB to the number line?

• By estimation

• By using a ruler

• By drawing a straight line

• Using a compass to cut an arc

What is the significance of point C on the number line?

• It marks the end of the number line

• It represents the length of root 2 from O

• It is the midpoint of the number line

• It is an arbitrary point

What tool is used to make a 90-degree mark in the construction process?

• A ruler

• A protractor

• A compass

• A set square

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

• To draw straight lines

• To erase mistakes

• To measure angles

• To mark equal lengths

If we need to mark minus root 2, where should the arc be cut?

• It cannot be marked

• On the opposite side of O

• Directly on O

• On the same side of O

What is the final step in marking root 2 on the number line?

• Drawing a perpendicular line

• Estimating the position

• Using a compass to cut an arc from O

• Measuring with a ruler