Advertisements
Advertisements
Question
Which of the following needs a proof?
Options
Theorem
Axiom
Definition
Postulate
Advertisements
Solution
Theorem
Explanation:
The statements that were proved are called propositions or theorems.
APPEARS IN
RELATED QUESTIONS
The number of dimensions, a surface has ______.
Euclid divided his famous treatise “The Elements” into ______.
In ancient India, the shapes of altars used for household rituals were ______.
In Ancient India, Altars with combination of shapes like rectangles, triangles and trapeziums were used for ______.
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 ∠1 = ∠2, ∠2 = ∠3. Show that ∠1 = ∠3.

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, if OX = `1/2` XY, PX = `1/2` XZ and OX = PX, show that XY = XZ.

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.
