Advertisements
Advertisements
Question
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have ∠1 = ∠3 and ∠2 = ∠4. Show that ∠A = ∠C.

Advertisements
Solution
Given, ∠1 = ∠3 ...(i)
And ∠2 = ∠4 ...(ii)
According to Euclid’s axiom, if equals are added to equals, then wholes are also equal.
On adding equations (i) and (ii), we get
∠1 + ∠2 = ∠3 + ∠4
⇒ ∠A = ∠C
APPEARS IN
RELATED QUESTIONS
Consider two ‘postulates’ given below:-
- Given any two distinct points A and B, there exists a third point C which is in between A and B.
- There exist at least three points that are not on the same line.
Do these postulates contain any undefined terms? Are these postulates consistent? Do they follow from Euclid’s postulates? Explain.
How many least number of distinct points determine a unique line?
How many lines can be drawn through a given point.
How many planes can be made to pass through two points?
The number of dimension, a point has ______.
Boundaries of solids are ______.
Which of the following needs a proof?
“For every line l and for every point P not lying on a given line l, there exists a unique line m passing through P and parallel to l ” is known as Playfair’s axiom.
Solve the following question using appropriate Euclid’s axiom:
Two salesmen make equal sales during the month of August. In September, each salesman doubles his sale of the month of August. Compare their sales in September.
In the following figure BM = BN, M is the mid-point of AB and N is the mid-point of BC. Show that AB = BC.

