Unit-4: Geometry
(a) Lines and angles
(b) Triangles and its angles, congruent triangles
(c) Inequalities in a triangle, mid-point theorem and pythagorus theorem
Q1.
Is it possible to construct a triangle from sides 3 cm, 2 cm, and 7 cm ?
(a) Yes,right triangle (b) Yes,acute triangle
(c) Yes,obtuse triangle (d) No triangle possible
Solution.
(d) No triangle possible
Note: The sum of any two sides of a triangle should be greater than the third side .
Solution
Q2.
The difference of any two sides of a triangle is less than the third side.
(a) some time true (b) always true (c) false
(d) can't say
Solution.
(b) always true
Solution
Q3.
AB, AC and BC are the sides of a triangle, FC, BE and AD are the altitudes of a triangle. then
(a) AB + AC + BC = FC + BE + AD.
(b) AB + AC + BC > FC + BE + AD.
(c) AB + AC + BC < FC + BE + AD. (d) None of these
Solution.
(b) AB + AC + BC > FC + BE + AD.
Note: The sum of three altitudes of a triangle is less than the sum of the three sides
of a triangle .
Solution
Q4.
In the given figure, If x is greater than y by (1/10)th of a right angle . find the value of x.
(a) 950 (b) 850 (c) 650 (d) 750
Solution.
x = 1/9 x 900 + y
x = 100 + y
x + y = 180
100 + y + y = 180
2y = 170
y = 850
So, x = 950
Solution
Q5.
Medians of an equilateral triangle are equal .
(a) True (b) False (c) Can't say
Solution.
(a) True
Solution
Q6.
Sum of linear pair angles are equal to
(a) 1200 (b) 1800 (c) 600 (d) 900
Solution.
(b) 1800
Solution
Q7.
(i) Transvarsal line intersect two or more line at distinct point .
(ii) Always equidistant from one another and never intersect.
which
statement is/are correct ?
(a) only (i) (b) only (ii) (c) both (d) none
Solution.
(c) both
Solution
Q8.
In the triangle , the side opposite to the larger angle is longer.
(a) True (b) False (c) None of these
Solution.
(a) True
Solution
Q9.
Sum of co-interior angle is __________.
(a) supplementary (b) complementary (c) right angle (d) none of these
Solution.
(a) supplementary
Solution
Q10.
(i) Alternate interior angles are equal.
(ii) Alternate exterior angles are equal .
which statement is true ?
(a) only (i) (b) only (ii) (c) both (d) none
Solution.
(c) both
Solution