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?
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
Given three distinct points in a plane, how many lines can be drawn by joining them?
How many planes can be made to pass through two points?
In Indus Valley Civilisation (about 3000 B.C.), the bricks used for construction work were having dimensions in the ratio ______.
A pyramid is a solid figure, the base of which is ______.
Euclid belongs to the country ______.
‘Lines are parallel, if they do not intersect’ is stated in the form of ______.
The edges of a surface are curves.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have ∠1 = ∠3 and ∠2 = ∠4. Show that ∠A = ∠C.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have AC = DC, CB = CE. Show that AB = DE.
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.