Constructing and Plotting Root 2

Constructing and Plotting Root 2

Assessment

Interactive Video

Mathematics, Physics, Science

6th - 7th Grade

Practice Problem

Hard

Created by

Patricia Brown

FREE Resource

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.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Root 2 units

Two units

Zero units

One unit

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What theorem is used to calculate the length of OB?

Thales' theorem

Euclid's theorem

Fermat's Last Theorem

Pythagorean theorem

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Two units

One unit

Root 3 units

Root 2 units

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

By drawing a straight line

With a compass

Using a ruler

By estimation

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Point A

Point B

Point D

Point C

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

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