Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of
Assertion (A).
(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true
1.) Assertion : a right triangle, means the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Reason: if one side of right angle is 8 cm and other is 6cm then the remaining side will be 10 cm.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
3.) Assertion: Scalene Triangle is the triangle whose All the sides and angles are unequal.
Reason: Triangle ABC is a scalene triangle whose side are AB=5,BC=8,AC=4.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
4.) Assertion: All congruent triangles are similar but the similar triangles need not congruent
Reason: : If ∆ABC and ∆PQR are congruent triangles, then they are also different triangles.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: d) both assertion and reason are false.
5.) Assertion: The ratio of the areas of two similar triangles is equal to the square root of the ratio of their sides.
Reason : The sides of two similar triangles are in the ratio 4 : 25, then the areas of these triangles are in the 2: 5.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: d) both assertion and reason are false.
6.) Assertion (A): If two sides of a right angle are 7 cm and 8 cm, then its third side will be 9 cm.
Reason (R): In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Answer: (d)
7) Assertion (A): If ∆ABC and ∆PQR are congruent triangles, then they are also similar triangles.
Reason (R): All congruent triangles are similar but the similar triangles need not be congruent.
Answer: (a)
8) Assertion (A): In the given figures, ΔABC ~ ΔGHI.
Reason (R): If the corresponding sides of two triangles are proportional, then they are similar.
Answer: (a)
9) Assertion (A): The sides of two similar triangles are in the ratio 2 : 5, then the areas of these triangles are in the
ratio 4 : 25.
Reason (R): The ratio of the areas of two similar triangles is equal to the square of the ratio of their sides.
Answer: (a)
10)
Assertion (A): In the given figure, PA || QB || RC || SD.
Reason (R): If three or more line segments are perpendiculars to one line, then they are parallel to each other.
Answer: (a)
11) Assertion (A): In the ∆ABC, AB = 24 cm, BC = 10 cm and AC = 26 cm, then ∆ABC is a right angle triangle.
Reason (R): If in two triangles, their corresponding angles are equal, then the triangles are similar.
Answer: (b)
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