Mensuration Model Questions Set 2 Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

Consider the following statements : Two triangles are said to be congruent, if

1. Three angles of one triangle are equal to the corresponding three angles of the other triangle.
2. Three sides of one triangle are equal to the corresponding three sides of the other triangle.
3. Two sides and the included angle of one triangle are equal to the corresponding two sides and the included angle of the other triangle.
4. Two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangle.

a) 1, 2 and 4

b) 1, 2 and 3

c) 1, 3 and 4

d) 2, 3 and 4

Question : 2

In the figure given below, ABC is a triangle. BC is parallel to AE. If BC = AC, then what is the value of ∠CAE?

a) 40°

b) 20°

c) 30°

d) 50°

Question : 3

ABCD is a quadrilateral such that BC = BA and CD > AD. Which one of the following is correct?

a) ∠BAD > ∠BCD

b) ∠BAD = ∠BCD

c) ∠BAD < ∠BCD

d) None of these

Question : 4

The length of a minute hand of a wall clock is 9 cm. What is the area swept (in $cm^2$) by the minute hand in 20 min? (take π = 3.14)

a) 67.74

b) 88.78

c) 84.78

d) 57.78

Question : 5

In the figure given below, SPT is a tangent to the circle at P and O is the centre of the circle. If ∠QPT = α, then what is ∠POQ equal to?

a) 90° – α

b) α

c) 2α

d) 180° – 2α

Question : 6

Let the incircle to a ΔABC touch BC, AC and AB respectively at the points X, Y and Z.

• Statement I
• If AB > BC, then AB + AZ < BC + XC
• Statement II
• AZ = AY

a) Statement I is correct and Statement II is incorrect

b) Statement I and II are correct and Statements II is the correct explanation of Statement I

c) Statement I and II are correct and Statement II is not the correct explanation of Statement I

d) Statement I is incorrect and Statement II is correct