Euclid's Axioms and Postulates Questions and Answers

This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Euclid’s Axioms and Postulates”.

1. Things which are equal to the same thing are equal to each other.
a) True
b) False
View Answer

Answer: a
Explanation: Above statement is one of the Euclid’s axioms.
It can be understood by the following example:
Let a = b and a = c, then we can simply state that b = c. Here, b and c are equal to same thing (a here) so they are equal to each other.

2. How much lines can pass from one point?
a) One
b) Two
c) Infinite
d) Zero
View Answer

Answer: c
Explanation: As shown in below figure, we can draw as much lines as we want which are passing from one point O. Hence, infinite lines can pass from one point.

3. How much lines can pass from two distinct points?
a) Zero
b) Only one
c) Only two
d) Infinite
View Answer

Answer: b
Explanation: According to Euclid’s axiom, given two distinct points, there is a unique line that passes through them.
As shown in below figure, there is only one line that can pass through two distinct points O and P.

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4. If P, Q and R are three points on a line and Q lies between P and R, then __________
a) PR + QR = PR
b) PQ + PR = PR
c) PQ + PR = QR
d) PQ + QR = PR
View Answer

Answer: d
Explanation: We can see in below diagram that Q is between P and R and hence PQ + QR = PR.