# Welcome to Planet Infinity KHMS

## 19 August, 2011

### Introduction to Euclid's Geometry- Brainstorming

Statement 1 Only one line can pass through a single point.

This statement is false. This is because passing through a single point; infinite number of lines can be drawn. Observe the following figure. Through the point L, many lines are passing.

Statement 2 There are an infinite number of lines which pass through two distinct points.

This statement is false. This is because through two distinct points, only one line can pass.

Try it!

Statement 3 A terminated line can be produced indefinitely on both the sides.

This statement is true. A terminated line can be produced indefinitely on both the sides.

Statement 4 If two circles are equal, then their radii are equal.This statement is true. Observe that in two equal circles, their centres as well as the outer boundary will coincide.

Statement 5 If AB = PQ and PQ = XY, then AB = XY.

This statement is true. Euclid’s first axiom states that things which are equal to the same thing are equal to one another. Therefore, the lines AB and XY will be equal to each other.

## 17 August, 2011

### Making of Platonic Solids

Nets of solids

Nets of Platonic solids -

Making Platonic Solids

## 16 August, 2011

### Proofs of theorems- Class 9 for SA1

Proofs of following theorems are to be done for the SA1 examination

Chapter Lines and angles
• If two lines intersect, the vertically opposite angles are equal
• The sum of the angles of a triangle is 180 degrees
Chapter Triangles
• ASA criterion of congruency
• The angles opposite to equal sides of a triangle are equal

SQP_MA_X_I

Dear students,