Advertisements
Advertisements
प्रश्न
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
उत्तर
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
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?
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
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?
square
In how many points a line, not in a plane, can intersect the plane?
The number of dimensions, a surface has ______.
Boundaries of surfaces are ______.
Greek’s emphasised on ______.
In Ancient India, Altars with combination of shapes like rectangles, triangles and trapeziums were used for ______.
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.

Read the following statements which are taken as axioms:
- If a transversal intersects two parallel lines, then corresponding angles are not necessarily equal.
- If a transversal intersect two parallel lines, then alternate interior angles are equal.
Is this system of axioms consistent? Justify your answer.
