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
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?
perpendicular lines
In how many lines two distinct planes can intersect?
Boundaries of solids are ______.
The number of interwoven isosceles triangles in Sriyantra (in the Atharvaveda) is ______.
Thales belongs to the country ______.
Euclid stated that all right angles are equal to each other in the form of ______.
The things which are double of the same thing are equal to one another.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have AB = BC, BX = BY. Show that AX = CY.
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.
