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Unit 4

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