# Mathematics Questions and Answers – Euclid’s Axioms and Postulates

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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

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

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

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. 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

Explanation: We can see in below diagram that Q is between P and R and hence PQ + QR = PR. Sanfoundry Global Education & Learning Series – Mathematics – Class 9. 