Constructing Root 2 on a Number Line

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 as root 2. The tutorial then demonstrates how to use a compass to plot this length on a number line, including how to plot negative root 2. The video concludes with a step-by-step guide to constructing this on a number line.

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

• Draw a circle with radius 2

• Create a right triangle with unit base and height

• Use a protractor to measure 45 degrees

• Mark a point at 2 on the number line

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

• 1 unit

• 2 units

• 3 units

• Root 2 units

What theorem is used to calculate the length of OB in the triangle?

• Thales' theorem

• Pythagorean theorem

• Sine rule

• Cosine rule

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

• 1 unit

• Root 2 units

• Root 3 units

• 2 units

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

• Use a compass to cut an arc

• Draw a straight line from O

• Estimate by eye

• Use a ruler to measure directly

What is the name of the point where the arc intersects the number line?

• Point C

• Point A

• Point B

• Point D

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

• Set square

• Protractor

• Compass

• Ruler

What is the purpose of marking a 90-degree angle in the construction?

• To measure the length of OB

• To ensure the triangle is equilateral

• To find the midpoint of OA

• To create a right angle for the triangle

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

• Using a set square

• Measuring with a ruler

• Cutting an arc with the compass

• Drawing a line parallel to OA

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

• On the opposite side of O

• On the same side of O

• Below the number line

• Above the number line