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Euclid's Definitions

Which of the ...

Question

Which of the following defines a plane?

A

A surface where every point of the line joining any two points on it, lies on it.

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B

If two lines have no common point, i.e., they do not meet at all.

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C

The straight path between two points is called a line segment.

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D

Three or more lines intersect at the same point.

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Solution

The correct option is A A surface where every point of the line joining any two points on it, lies on it.
Plane : A surface where every point of the line joining any two points on it, lies on it.

Parallel lines: If two lines have no common point, i.e., they do not meet at all.

Line segment: The straight path between two points.

Concurrent lines: Three or more lines intersect at the same point.

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Similar questions

Q. State which of the following statements are true (T) and which are false (F).

(i) Point has a size because we can see it as a thick dot on paper.
(ii) By liens in geometry, we mean only straight lines.
(iii) Two lines in a plane always intersect in a point.
(iv) Any plane through a vertical line is vertical.
(v) Any plane through a horizontal line is horizontal.
(vi) There cannot be a horizontal line a vertical plane.
(vii) All lines in a horizontal plane are horizontal.
(viii) Two lines in a plane always intersect in a point.
(ix) If two lines intersect at a point P, then P is called the point of concurrence of the two lines.
(x) If two lines intersect at a point P, then p is called the point of intersection of the two lines.
(xi) If A,B,C and D are collinear points D, P and Q are collinear, then points A, B, C, D, P and Q are always collinear.
(xii) Two different lines can be drawn passing through two given points.
(xiii) Through a given point only one line can be drawn.
(xiv) Four points are collinear if any three of them lie on the same line.
(xv) The maximum number of points of intersection of three lines is three.
(xvi) The minimum number of points of intersection of three lines is one.

Q. When two or more lines meet/intersect at one point, they are called .

Q. Which of the following statements are true?
(i) A line segment has no definite length.
(ii) A ray has no end-point.
(iii) A line has a definite length.
(iv) A line

\overset{\leftrightarrow}{A B}

is same as line

\overset{\leftrightarrow}{B A}

\underset{A B}{\to}

\underset{B A}{\to}

.
(vi) Two distinct points always determine a unique line.
(vii) Three lines are concurrent if they have a common point.
(viii) Two distinct lines cannot have more than one point in common.
(ix) Two intersecting lines cannot be both parallel to the same line.
(x) Open half-line is the same thing as ray.
(xi) Two lines may intersect in two points.
(xii) Two lines are parallel only when they have no point in common.

Q. Which of the following statements is false?
(a) Through a given point, only one straight line can be drawn.
(b) Through two given points, it is possible to draw one and only one straight line.
(c) Two straight lines can intersect at only one point.
(d) A line segment can be produced to any desired length.

Which of the following statements is false?

(a) Through a given point, only one staright line can be drawn.

(b) Through two given point, it is possible to draw one and only one straight line.

(c) Two straight lines can intersect only at one point.

(d) A line segment can intersect only at one point.

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