Advertisements
Advertisements
Question
Which of the following needs a proof?
Options
Theorem
Axiom
Definition
Postulate
Solution
Theorem
Explanation:
The statements that were proved are called propositions or theorems.
APPEARS IN
RELATED QUESTIONS
If a point C lies between two points A and B such that AC = BC, then prove that AC = `1/2` AB. Explain by drawing the figure.
How many planes can be made to pass through a line and a point not on the line?
The number of dimension, a point has ______.
The total number of propositions in the Elements are ______.
Pythagoras was a student of ______.
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?
Solve the following question using appropriate Euclid’s axiom:
Look at the figure. Show that length AH > sum of lengths of AB + BC + CD.
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, if OX = `1/2` XY, PX = `1/2` XZ and OX = PX, show that XY = XZ.
In the following figure AB = BC, M is the mid-point of AB and N is the mid-point of BC. Show that AM = NC.