Mathematics CHAPTER DEMONSTRATIVE GEOMETRY

Mathematics

Demonstrative Geometry


1. If two sides of a triangle are congruent, then the angles opposite to these sides are:

a) Congruent
b) None of these
c) Supplementary angles
d) Not congruent
2. If a transversal cuts two parallel lines, the pairs of corresponding angles so formed are:

a) Three
b) Five
c) Four
d) Two
3. If the opposite sides of a quadrilateral are parallel then the quadrilateral is a:

a) Triangle
b) None of these
c) Parallelogram
d) Trapezium
4. The altitudes of an Obtuse triangle intersect each other:

a) Outside the triangle
b) No where
c) None of these
d) On the hypotenuse
5. If two lines intersect each other, then two non-adjacent angles so formed are called:

a) Corresponding angles
b) Vertical angles
c) None of these
d) Alternate angles
6. If a point equidistant from the end points on a line-segment, then the point lie on the:

a) Bisector
b) None of these
c) Right-bisector of the line.
d) Perpendicular
7. In an acute triangle, the number of acute angles is:

a) One
b) None of these
c) Two
d) Three
8. The altitudes of a triangle which are congruent to each other:

a) Three
b) Two
c) Four
d) Five
9. Two angle are supplementary, if both of their arms are parallel and they are:

a) In vertical direction to each other
b) One in the same direction and other in opposite direction
c) Both in the opposite direction
d) In the same direction
10. The right bisectors of the three side of a triangle are:

a) None of these
b) Concurrent
c) Parallel
d) Perpendicular
11. If two lines intersect each other, then vertical angles are:

a) Congruent
b) Half in size
c) None of these
d) Double in size
12. The right bisectors of the sides of an obtuse triangle intersect each other:

a) Inside the triangle
b) No where
c) Outside the triangle
d) On the hypotenuse
13. The diagonals of a parallelogram:

a) Bisect at right angle
b) Bisect each other
c) Congruent
d) None of these
14. In a triangle, there can be at least two:

a) Right angles
b) Acute angle
c) None of these
d) Obtuse angles
15. If the altitudes of a triangle are congruent, then the triangle is:

a) Isosceles triangle
b) None of these
c) Right angled triangle
d) Equilateral triangle
16. Two sides of an isosceles triangle are:

a) None of these
b) Non-congruent
c) Congruent to each other
d) Parallel to each other
17. The bisector of the angles of a triangle are:

a) Concurrent
b) Perpendicular
c) None of these
d) Parallel
18. In an obtuse angle in a triangle, the number of obtuse angles is:

a) At most one
b) None of these
c) Two
d) At least one
19. The external angle of a triangle is greater in measure:

a) With its opposite interior angles
b) Supplementary
c) Congruent
d) None of these
20. The right bisectors of two adjacent supplementary angles are:

a) Parallel to each other
b) Some times parallel sometimes perpendicular to each other
c) Perpendicular to each other
d) None of these
21. The line-segment joining any vertex of a triangle to the mid point of opposite side is called:

a) Median
b) Angle bisector
c) Altitude
d) None of these
22. The right bisectors of the sides of a right angled triangle intersect each other on the:

a) No where
b) Base
c) Hypotenuse
d) Perpendicular
23. In a right angled triangle, the acute angles are:

a) None of these
b) Supplementary
c) Adjacent
d) Complementary
24. If the altitudes of a triangle is congruent, then the triangle is:

a) Right angle triangle
b) Isosceles triangle
c) Equilateral triangle
d) None of these
25. The bisectors of the angles of a triangle are:

a) None of these
b) Parallel
c) Concurrent
d) Perpendicular
26. The altitudes of an acute angled triangle intersect each other

a) Outside the triangle
b) Inside the triangle
c) No where
d) On the hypotenuse
27. Medians of a triangle are:

a) None of these
b) Concurrent
c) Perpendicular
d) Parallel
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