Constructing and Plotting Root 2

The video tutorial explains how to plot the length of root 2 on a number line. It begins by constructing a right triangle with both base and height as one unit. Using the Pythagorean theorem, the hypotenuse is calculated to be root 2. The tutorial then demonstrates how to use a compass to plot this length on a number line, and also how to plot minus root 2 by mirroring the arc on the opposite side. Detailed construction steps are provided to ensure accurate plotting.

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

• Draw a line segment of root 2 units.

• Directly mark root 2 on the number line.

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

• Use a compass to draw an arc.

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

• Root 2 units

• Two units

• Zero units

• One unit

What theorem is used to calculate the length of OB?

• Thales' theorem

• Euclid's theorem

• Fermat's Last Theorem

• Pythagorean theorem

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

• Two units

• One unit

• Root 3 units

• Root 2 units

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

• By drawing a straight line

• With a compass

• Using a ruler

• By estimation

What is the point called where the arc intersects the number line?

• Point A

• Point B

• Point D

• Point C

What is the purpose of using a protractor in the construction?

• To measure the length of OB

• To draw a 90-degree angle

• To find the midpoint of OA

• To mark the length of OC

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

• Cutting an arc with the compass

• Marking the length of OB

• Measuring with a ruler

• Drawing a perpendicular line

If you need to plot negative root 2, what should you do?

• Subtract the length from OA

• Cut the arc on the opposite side of O

• Use a different compass

• Draw a new triangle

What is the significance of the length OC on the number line?

• It is equal to OA

• It is the midpoint of AB

• It represents root 2

• It is twice the length of OB