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?
perpendicular lines
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.
Given three distinct points in a plane, how many lines can be drawn by joining them?
The number of dimension, a point has ______.
The number of interwoven isosceles triangles in Sriyantra (in the Atharvaveda) is ______.
Which of the following needs a proof?
The things which are double of the same thing are equal to one another.
The statements that are proved are called axioms.
Attempts to prove Euclid’s fifth postulate using the other postulates and axioms led to the discovery of several other geometries.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have ∠1 = ∠2, ∠2 = ∠3. Show that ∠1 = ∠3.

