Mathomat V3

# How to Construct the Square Root of 2

video tutorial part
9
of

## Learning Geometry with a Circle Arc Template

with

### Chris Tisdell

Mathematician & Educator

### Materials you will need:

Mathomat V3 Template
Unlined Paper / Scrap Paper
Sharp Pencil/s
Fine-point Pen/s
Eraser

### What you will learn in this tutorial:

In this video, Chris Tisdell demonstrates a geometric construction problem using a circle arc template and a straight edge. The challenge is to construct a line segment from a given point C that is equal in length to line segment AB.

The circle arc template is introduced as a tool that is easier to use, more accurate, and less dangerous than a compass for geometric constructions. Chris explains that he has been making videos to show how to perform high school geometry constructions using this template.

He starts by extending line segment AB and joining point A with point C. Then, he constructs a line parallel to AB through point C, creating a new point D. This line intersects the extended AB at point E. Chris repeats this process in the opposite direction, creating points F and G.

Next, he connects points B and G, which results in a line parallel to AC. He explains that this establishes a parallelogram, and the opposite sides of a parallelogram are equal in length.

Chris proceeds to label the points and segments involved in the construction, emphasising that segment AC is equal in length to segment CL. This construction successfully solves the challenge presented at the beginning of the video.

In summary, Chris Tisdell demonstrates how to use a circle arc template and a straight edge to construct a line segment equal in length to another given line segment. The construction involves creating a parallelogram, which allows for the desired line segment to be accurately constructed. This method offers a practical and safe alternative to traditional compass-based constructions.

### Chris Tisdell

Mathematician & Educator
Chris, a mathematician and educator, is an academic advisor to Mathomat. Chris approached us in 2021 with an interest in the circle templates in Mathomat...
Online Store

### Purchase some of our most popular products from the official Mathomat online store

#### Finding Hidden Angles, a Mathomat Adventure

##### V7 template with 48 page student book
Template
\$
19.95
Use Mathomat with the finding hidden angles student book. Gain insight into the geometry of the world by understanding angle. Build confidence with maths.

#### Mathomat V7 Builder Pack

##### with 96 page student manual
Template
\$
19.95
The Mathomat V7 template with an illustrated manual of investigations that familiarise students with the use of Mathomat for creative drawing.

#### Mathomat V7 Explorer Pack

##### Template & 72 page student manual
Template
\$
19.95
The Mathomat V7 geometry template with 72 page illustrated student manual and MAC guide by Juliet Snape. Illustrated contexts for student directed learning.

#### Geometry & Beyond

##### with Mathomat
Publication
\$
24.95
A series of lessons for secondary school which make use of available classroom materials, such as the Mathomat template and geometry software.

#### Maths with Mathomat

##### Lesson Plans Years 4-9 & Beyond
Publication
\$
24.95
A series of comprehensive lesson plans developed to give teachers a glimpse of the potential for using Mathomat as an aid in the teaching of mathematics.

#### Text Book & Units of Work

##### with Mathomat
Publication
\$
24.95
This 116 page book of investigations with Mathomat reveal the passion for teaching of Craig Young, the designer of the original Mathomat.
01

### Lesson Plans

#### Learn to teach maths with Mathomat

Get a glimpse of the tremendous potential for using Mathomat as an aid to teaching mathematics.

02

### Video Tutorials

#### Watch and learn from Pr. Chris Tisdell

Using a series of Mathomat products and templates, learn maths and geometry with Pr. Chris Tisdell.

03

### Online Store

#### Visit the official Mathomat store

Purchase official Mathomat templates, booklets and teaching resources for your child or classroom.

04