Euclid's Definitions

Q.

The number of dimensions of a surface is

(a) 1

(b) 2

(c) 3

(d) 0

Q.

Whats the specific difference between lemma and algorithms?

Q.

What is the short definition of coordinate geometry????

Q. A solid has dimension(s).

1. one
2. two
3. three
4. four

Q.

Two distinct points in a plane determine ...............

1. Three lines.

2. A unique line.

3. Two lines.

4. None of these.

Q. A ______ is a breadthless length.

1. cuboid
2. line
3. point
4. square

Q.

Which statements are true regarding undefinable terms in geometry?

Select two options.

1. A points location on the coordinate plane is indicated by an ordered pair $\left(x,y\right)$
   

2. A point has one dimension, length.

3. A line has length and width.

4. A distance along a line must have no beginning or end.

5. A plane consists of an infinite set of points.

Q.

Which of the following is an example of a geometrical line?

1. Meeting place of two walls

2. Black Board

3. p of the sharp pencil

4. Sheet of paper

Q.

Two lines l and m are perpendicular to the same line n. Are l and m parellel to each other. Explain it briefly

Q.

What is the point in geometry?

Q.

If A, B, C are three collinear points, name all the line segment determined by them.

Q.

How many lines passing through origin are possible?

1. 0

2. 1

3. 2

4. Infinite

Q. In the question, a statement of assertion $\left(A\right)$ is followed by a statement of reason $\left(R\right)$. Mark the correct choice:
Assertion $\left(A\right):$ Through two distinct points there can be only one line that can be drawn.
Reason $\left(R\right):$ There can be infinite number of lines that can be drawn through a single point.

Q. What is the real proof of ptolemys theorem?

Q.

What difference between a theorem and an axiom?

Q. Euclidean geometry is valid only for _________ surfaces.

1. Curved
2. Plane
3. Curved & Plane both.
4. None of the above.

Q. A point has

1. One dimension
2. Two dimensions
3. Three dimensions
4. No dimensions

Q. Which of the following statement is true?

1. The floor and a wall of a room are parallel planes.
2. The ceiling and a wall of a room are parallel planes.
3. The floor and the ceiling of a room are parallel planes.
4. Two adjacent walls of a room are parallel planes.

Q. Which of the following defines a plane?

1. A surface where every point of the line joining any two points on it, lies on it.
2. If two lines have no common point, i.e., they do not meet at all.
3. The straight path between two points is called a line segment.
4. Three or more lines intersect at the same point.

Q.

Why is Axiom 5, in the list of Euclid’s axioms, considered a ‘universal truth’? (Note that the question is not about the fifth postulate.)

Q.

Which of the following is a true statement ?

(a) The floor and a wall of a room are parallel planes.

(b) The ceiling and a wall of a room are parallel planes.

(c) The floor and the ceiling of a room are parallel planes.

(d) Two adjacent walls of a room are parallel planes.

Q. What is wonderwall forces of attraction

Q. Prove that two distinct lines cannot have more than one point in common.

Q.

The number of dimensions of a solid are

(a) 1

(b) 2

(c) 3

(d) 5

Q.

In the figure below PR is the perpendicular bisector of a line $AB=16cm$ then which of the following is true?

1. $OP>OR$

2. $PB=PR$

3. $PA=PR$

4. $PA=PB$

Q. How many planes can be made to pass through a line and a point not on the line?

Q.

From the given figure, name the following:

(i) Three lines

(ii) One rectilinear figure

(iii) Four concurrent points

Q.

Of all the line-segments that can be drawn from a point outside a line, the perpendicular is the shortest

1. False

2. True

Q. In how many points two distinct planes can intersect?

Q. Results derived by using postulates and axioms are called ___ .