Theorems

Q. What is the measure of the angles $\angle$A + $\angle$B + $\angle$C + $\angle$D + $\angle$E + $\angle$F, in the figure given below.

1. 360

Q. What is a conjecture?

1. Statements that have been proven to be true using logical sequence of steps.
2. Statements which are neither proved nor disproved.
3. Statements that can be proven to be false.
4. Statements that can never be proven to be true.

Q. A conjecture (hypothesis) that is proved to be true is called as .

1. axiom
2. theorem
3. rule
4. postulates

Q. What is a conjecture that is proven to be true called?

1. Hypothesis
2. Theorem
3. Postulate
4. Axiom

Q. Two distinct lines have ____ intersecting point(s).

1. 2
2. 4
3. 1
4. 3

Q. Which of the following is called a theorem?

1. A conjecture (hypothesis) that is proved to be true is called a theorem.
2. A statement which cannot be proven is called a theorem.
3. Mathematical observations that are accepted to be true are called theorems.
4. Universally accepted truths are called theorems.

Q. Why is axiom 5 in the list of euclids axioms, considered a universal truth?

Q. In the figure given below,

$\angle$1 = $\angle$3 , $\angle$2 = ​​​​​​​$\angle$4 and ​​​​​​​$\angle$3 = ​​​​​​​$\angle$4. What is the relation between ​​​​​​​$\angle$1 and $\angle$2?

Q.

state the euclid's axiom showing that a right angle is greater than a acute angle

Q. In the given figure, AB = BC. M and N are the mid points of AB and BC respectively. Which of the following is true?

1. AM = NC
2. AM = BC
3. BN = BC
4. BN = AB

Q. What does Posidominus's axiom say?

1. The things that are equal to the same thing are equal to one another.
2. The sum of all the angles in a triangle is constant and equal to two right angles.
3. There exists a pair of lines everywhere equidistant from one another.
4. Straight lines parallel to the same straight line are parallel to one another.

Q. "All right angles are equal to each other" is a/an __________.

1. axiom
2. theorem
3. postulate
4. proof

Q.

ABCD is a square, X and Y are the points on sides AD and BC respectively such that AY = BX, then

1. AX ≠ BY

2. AX < BY

3. AX > BY

4. AX = BY

Q. What is conjecture? Give an example for it.

Q. Why is axiom 5 in the list of euclids axioms, considered a universal truth?

Q. What is the difference between a discrete random variable and a continuous random variable?

Q. A/An ____ triangle can be constructed on any given line segment.

1. equilateral
2. obtuse
3. scalene
4. acute

Q. Let $\square$MNOP be a rhombus. Q is a point in the interior of rhombus MNOP. Such that QM = QO. Prove that Q lies on diagonal NP.

Q. If A + X = B + X, where X is a positive quantity. Then, A is equal to B.

1. False
2. True