# Axioms

## Trending Questions

**Q.**

In the following figure, if AC = BD, then prove that AB = CD.

**Q.**

If $A$ and $B$ are two sets, then $A\cap (A\cup B)$ is equal to

$A$

$B$

$\varphi $

None of these

**Q.**Statements which are assumed to be true without mathematical proof are said to be axioms. State whether true or false

- true
- false

**Q.**

The solution of $\left(x+y+1\right)\frac{dy}{dx}=1$ is

$y=\left(x+2\right)+c{e}^{x}$

$y=-\left(x+2\right)+c{e}^{x}$

$x=-\left(y+2\right)+c{e}^{y}$

$x={\left(y+2\right)}^{2}+c{e}^{y}$

**Q.**

What is the difference between a theorem and an axiom?

**Q.**

Q. There are four prime numbers written in ascending order. The product of the first three is 385 and of the last three is 1001. Find the last number.

Thank you..

**Q.**

Which of the following needs a proof ?

(a) axiom

(b) postulate

(c) definition

(d) theorem

**Q.**

What are joint and disjoint sets

**Q.**In the given figure, AB = BC, M is the midpoint of AB and N is the midpoint of BC. Which one of the following options is correct ?

- BN = NC
- AM = NC
- AM = MB
- All of the above

**Q.**

a man has 8 children to take them zoo. he takes three of them at a time to the zoo as often as he can without taking the same 3 children together more than once. how many times will he have to go to the zoo? how many times a particular child will go to the zoo

**Q.**

'Lines are parallel if they do not intersect' - is stated in the form of:

A postulate

An axiom

A proof

A definition

**Q.**Which of the following statements is not a Euclid’s axiom?

- If equals are added to equals, then the wholes are equal
- The whole is greater than the part
- All right angles are equal to one another
- Things which are double of the same thing are equal to one another

**Q.**

If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are _______(in degrees).

**Q.**If P, Q, R are three points on a line and Q lies between P and R, then which of the following is equal to PR - PQ?

- PQR
- QR
- PR
- PQ

**Q.**

In figure, AD = BC, then prove that AC = BD

**Q.**Euclid's which axiom illustrates the statement that when x + y = 15, then x + y + z = 15 + z ?

- Euclid's second axiom states that if equals be added to equals, the wholes are equal.
- Euclid's sixth axiom states that, the things which are double of the same things are equal to one another
- Euclid's fourth axiom states that, the things which coincide with one another are equal to one another.
- Euclid's third axiom states that if equals are subtracted from equals, the remainders are equal.

**Q.**'Things which are equal to same thing are equal to one another' this statement is

- An axiom
- a conjecture
- a theorem
- not a mathematical statement

**Q.**

The edges of a surface are

Points

Lines

Rays

Plans

**Q.**Rahul added 5 chocolates to his box of 100 chocolates. His friend Ramu also added 5 chocolates to his own box to get a total of 105 chocolates. How many chocolates did Ramu have in his box before adding 5 chocolates?

- 90
- 110
- 95
- 100

**Q.**

What is a theorem?

**Q.**

Things which are double of the same things are _____ to one another.

Perpendicular

Equal

Not Equal

Parallel

**Q.**What is the difference between an axiom and a postulate?

**Q.**Classroom activity(Constructing the 'square root spiral'): Take a large sheet of paper and construct the 'square root spiral' in the following fashion. Start with a point O and draw a line segment OP1 of unit length. Draw a line segment P1P2 perpendicular to OP1 of unit length. Now draw a line segment P2P3 perpendicular to OP2. Then draw a line segment P3P4 perpendicular to OP3. Continuing in this manner, you can get the line segment Pn−1Pn by drawing a line segment of unit length perpendicular to OPn−1. In this manner, you will have created the points P2, P3, ......., Pn, ....., and joined them to create a beautiful spiral depicting √2, √3, √4, .......

**Q.**If equals are subtracted from equals, the remainders are

- also equal
- greater
- equal/greater
- less

**Q.**

If a transversal intersects two parallel lines, then the consecutive interior angles are

Supplementary

Complementary

Congruent

Equal

**Q.**Question 2 (i)

Give two different examples of pair of

(i) Similar figures

**Q.**

Axioms are assumed

(a) definitions

(b) theorems

(c) universal truths specific to geometry

(d) universal truths in all branches of mathematics

**Q.**

Write five distinct integers whose sum is $4$.

**Q.**In the given figure, points X, Y, Z are the midpoints of side AB, side BC and side AC of $\u2206$ABC respectively. AB = 5 cm, AC = 9 cm and BC = 11 cm. Find the length of XY, YZ, XZ.

**Q.**If equals are added to equals, the wholes

- are equal
- are greater
- are equal or greater
- may or may not be equal.