Introduction to Euclid's Geometry

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If C be the mid-point of a line segment AB, then AC = BC = (_) AB.
1. 1/4
2. 3
3. 2
4. 1/2
Two distinct parallel lines have how many common points?
1. Three
2. Two
3. One
4. No
Which of the following statements is CORRECT?
1. All are correct
2. For every line l and for every point P not lying on l, there exist a unique line m passing through P and parallel tol.
3. A figure formed by the line segments is called a rectilinear figure.
4. For two distinct point A and B, there exists a third point C lying on the line AB which is in between A and B.
A solid has____.
1. 3 dimension
2. 2 dimension
3. 0 dimension
4. 1 dimension
Which of the following is not a Euclid's axiom?
1. If two things are equal, then their sum is equal to 1/3 of the one thing.
2. Thing which are halves of the same things are equal to one another.
3. The whole is greater than the part.
4. Things which are double of the same things are equal to one another.
Two distinct intersecting lines cannot be parallel to the ____ line.
1. Both [a] and [b]
2. Different
3. Same
4. None
A surface has____.
1. 1 dimension
2. 0 dimension
3. 3 dimension
4. 2 dimension
Which of the following options has one fixed end point and can be extended in the other direction indefinitely?
1. All of these
2. A line
3. A ray
4. A line segment
Which of the following is a false statement?
1. A unique line can be drawn to pass through two given points.
2. None
3. A ray has one end point.
4. An infinite number of lines through a given point.
Euclid's Postulate 1 is
1. A terminated line can be produced indefinitely.
2. None of these
3. A straight line may be drawn from any point to any other point.
4. All right angles are equal to one another.
Which of the following statements is CORRECT?
1. All of these
2. Two parallel lines cannot have a common point
3. There exist a point through which no line can pass.
4. There exist only one circle with centre at a given point.
Which of the following describe a surface?
1. Length only
2. Breadth only
3. Length and Breadth
4. Length and Height
According to Euclid's axioms, the ____ is greater than the part.
1. half
2. large
3. whole
4. none
Which of the following is true about two distinct lines?
1. Always have two common points.
2. Always either intersect or are parallel.
3. Always intersect.
4. Always parallel.
Rectilinear figure is formed by ______.
1. Straight lines
2. Planes
3. Points
4. None
If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is ____ two right angles
1. Equal to
2. More than
3. Less than
4. Can't be determined
Things which are equal to the same thing are ____ to one another.
1. parallel
2. not equal
3. perpendicular
4. equal
Euclid stated that 'all right angles are equal to one another', in the form of ____.
1. a definition
2. an axiom
3. a postulate
4. a proof
Two distinct points in a plane determine ______ line(s).
1. three
2. Unique
3. None
4. two
According to Euclid, a surface has __
1. Length and breadth but no thickness
2. No length, no breadth and no thickness
3. Length but no breadth and thickness
4. Length, breadth and thickness
How many points does a line contain?
1. 3
2. 2
3. 4
4. Infinitely many
How many common points do two distinct lines in a plane have?
1. Three points
2. Four points
3. Two points
4. One points
Which of the following needs a proof?
1. an axiom
2. a postulate
3. a definition
4. a theorem
Find the number of dimension(s) a line has.
1. 1
2. 2
3. 0
4. 3
Things which are ________ of the same things are equal to one another.
1. Not equal
2. Parallel
3. Triple
4. halves

Introduction to Euclid's Geometry

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