Advertisements
Advertisements
प्रश्न
Solve the following question using appropriate Euclid’s axiom:
It is known that x + y = 10 and that x = z. Show that z + y = 10?
Advertisements
उत्तर
We have, x + y = 10 ...(i)
And x = z ...(ii)
According to Euclid’s axioms, if equals are added to equals, the wholes are equal.
So, From equation (ii),
x + y = z + y ...(iii)
From equations (i) and (iii),
z + y = 10.
APPEARS IN
संबंधित प्रश्न
Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?
parallel lines
Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?
square
If a point C lies between two points A and B such that AC = BC, point C is called a mid-point of line segment AB. Prove that every line segment has one and only one mid-point.
How many least number of distinct points determine a unique line?
In Indus Valley Civilisation (about 3000 B.C.), the bricks used for construction work were having dimensions in the ratio ______.
The statements that are proved are called axioms.
Solve the following question using appropriate Euclid’s axiom:
Look at the figure. Show that length AH > sum of lengths of AB + BC + CD.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have ∠1 = ∠2, ∠2 = ∠3. Show that ∠1 = ∠3.
Read the following statement :
An equilateral triangle is a polygon made up of three line segments out of which two line segments are equal to the third one and all its angles are 60° each.
Define the terms used in this definition which you feel necessary. Are there any undefined terms in this? Can you justify that all sides and all angles are equal in a equilateral triangle.
The following statement is true or false? Give reason for your answer.
There are an infinite number of lines which pass through two distinct points.
