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Solved Examples
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cc  Are the points I, L, J, and G coplanar? What is the intersection of KJ¯ and plane IJGH?
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cc  What is the intersection of AEFB and CDEA?  cc View Solution
cc  What is the intersection of the plane ABGH with the plane ADEH? Are the points A, D, F, and G coplanar?
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cc  If the m AB¯ is 3.2 cm, find the m AC¯.  cc View Solution
cc  If BD¯ DC¯, then which of the following statements is true?
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cc  Find the m PS¯ and m SR¯, if the m PQ¯ and m QR¯ are 2.3 m and 1.5 m respectively.  cc View Solution
cc  How many lines can be drawn in a plane passing through a given point?
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cc  There are 5 points marked on a plane, out of which 3 are collinear. How many lines can be drawn joining these points if a line shall contain at least 2 marked points?
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cc  Choose the correct statement(s).
I. The intersection of a line and a plane is a point.
II. The intersection of two planes is a line.
III. Three points on the same plane are always collinear.
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cc  What is the maximum number of points of intersection of two distinct lines in a plane?  cc View Solution
cc  There are two lines on a plane with 3 points marked on each line. Find the total number of additional lines that can be drawn joining these points if a line has to contain minimum two marked points.  cc View Solution
cc  Select the correct statement/statements.
1. A line is a set of points that extends in two opposite directions without end.
2. Lines of different sizes have different thickness.
3. A line is of finite length
4. A line is a straight one-dimensional figure having no thickness.  cc
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cc  Which of the following points is not collinear with respect to the other points?
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cc  Are the points I, L, J, and G coplanar? What is the intersection of FG¯ and plane IJGH?
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cc  A line in a plane separates the plane into
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cc  Identify the correct statement / statements.
1. A space is the set of all points.
2. A line is a set of points that extends in two directions without end.
3. A point is a location in a plane with fixed dimensions.  cc
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cc  A(1, 1) and B(4, 4) are 2 distinct points. How many lines can be drawn passing through both these two points?  cc View Solution
cc  What is the intersection of BFDC and AEDC?  cc View Solution
cc  Choose the incorrect statement / statements.
1. A plane is a flat surface that extends in all directions without end.
2. A plane has two dimensions.
3. All the points and lines that lie in the same plane are coplanar.
4. Two planes intersect to form a plane.
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cc  Select the correct statement / statements.
1. A plane has infinite thickness.
2. Two planes will never intersect.
3. A pyramid is a plane figure.
4. All points of a circle lie on a single plane where as all points of a sphere lie on different planes.
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cc  Which points are colinear in the figure shown?  cc View Solution
cc  From the figure
1. Identify one set of collinear points.
2. Name any one plane.
3. Find the point of intersection of AD and BE.  cc
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cc  Select the correct stement/statements.
1. The ends of a line are points.
2. A straight line is a line which lies evenly with the points on itself.
3. A plane surface is a surface which lies evenly with the straight lines on itself.
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cc  Select the correct statement / statements.
1. A point is that which has no part
2. A line is breadthless length
3. A surface is that which has length and breadth only
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cc  If two planes intersect, then they intersect in a _____.  cc View Solution
cc  Which of the following points are non-collinear?  cc View Solution
cc  Identify three collinear points in the figure shown.
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cc  What is the least number of points needed to draw the figure?
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cc  The points A(- 2, - 3), B(1, y) and C(4, 1) are collinear. Find y.  cc View Solution
cc  Choose the correct statement/statements.
1. Points F, A, L, I, C, G, E, O, B are coplanar.
2. Points G, E, O, B are collinear.
3. O, A, and B are coplanar.
4. Points F, A, L, I, C are coplanar.  cc
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cc  What is the intersection of the plane ABCD with the plane BCFG? Are the points A, D, F, and G coplanar?
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cc  How many lines can be drawn connecting two points, if there are 5 points and no three of them are collinear?
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cc  What are the possible number of intersections between two lines?  cc View Solution
cc  Four parallel lines are intersected by another four parallel lines. Find the number of points of intersection.  cc View Solution
cc  Which of the following statements best describes the points A, B, C?
I. The points A, B, C are collinear.
II. The points A, B, C are non-collinear.
III. The points A, B, C are non-coplanar.
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cc  Points and lines that lie in the same plane are called
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cc  Find the number of regions into which two parallel lines divide a plane.  cc View Solution
cc  Identify the graph representing the coordinate plane containing the points A(- 2, - 3), B(1, - 1) and C(4, 1). The points A, B and C are collinear and D is a point that does not lie on the line.
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cc  Identify the number of planes and the number of line segments in the figure.
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cc  Where do the two planes intersect?
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cc  Identify which of the following can be best represented as a point.  cc View Solution
cc  Identify which of these can be best represented by a line.  cc View Solution
cc  Identify which of the following can be best represented by a plane.  cc View Solution
cc  Refer the figure to answer the questions.
(i). Are the points B, C and D collinear?
(ii). Name any one plane.
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cc  Find the maximum number of possible names for the plane shown.  cc View Solution
cc  In how many ways can the line be represented?
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cc  Refer the figure to answer the questions.
(i). Are points K, E and F collinear?
(ii). Are points A, L, D and B coplanar?
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cc  The points on the map represent the important places of Sicilia, Italy. Use the map to select the choices that are collinear.
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cc  Use figure to answer the questions.
1. Name two planes that do not contain R.
2. Are the points R, Q and T coplanar?
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cc  What type of geometric intersection do you find in the given figure?
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cc  What kind of geometric intersection does the photograph resemble?  cc View Solution
cc  What kind of geometric intersection does the photograph indicate?
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cc  Name the two lines that intersect at point M.
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cc  Which of the following is true for the figure?  cc View Solution
cc  If the m AB¯ is 3.2 cm, find the m AC¯.  cc View Solution
cc  If BD¯ DC¯, then which of the following statements is true?
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cc  Find the m PS¯ and m SR¯, if the m PQ¯ and m QR¯ are 2.3 m and 1.5 m respectively.  cc View Solution