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?
radius of a circle
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.
The number of dimensions, a surface has ______.
Euclid divided his famous treatise “The Elements” into ______.
If a quantity B is a part of another quantity A, then A can be written as the sum of B and some third quantity C.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have X and Y are the mid-points of AC and BC and AX = CY. Show that AC = BC.

Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have BX = `1/2` AB, BY = `1/2` BC and AB = BC. Show that BX = BY.

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 ∠ABC = ∠ACB, ∠3 = ∠4. Show that ∠1 = ∠2.

The following statement is true or false? Give reason for your answer.
If two circles are equal, then their radii are equal.
