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9. Assertion: 19 × 71 = 1 ⇒ 19 is reciprocal of 71 .
71 19 71 19
Reason: Two rational numbers are reciprocal of each other if their product is 1.

10. Assertion: 3 cm, 4 cm and 5 cm are the measures of the sides of a right-angled triangle.
Reason: In a right-angled triangle, the square of hypotenuse is equal to the sum of the
squares of its legs.

B. Fill in the blanks.
1. The sum of lengths of any two sides of a triangle is always ................... than the third side.

2. Complement of the angle 39° is ................... .
y
3. Lengths of three sides of a triangle are cm, 2y cm and y cm. Its perimeter is .................... .
2
4. Standard form of the number 34000 is ................... .
9  − 3
5. +   = ................... .
57  57 
C. Write ‘T’ for true and ‘F’ for false statement.

1. (–1) × (–1) × (–1) × ................... (193 times) = 1
2. 7.943 × 100 = 794.3
7 63
3. The rational number is equivalent to .
9 81
4. (–2) × (–2) = (–2) 99
59
41
5. Ritika reads 36 pages in a day. In ‘t’ days, she will read (36 + t) pages.
D. Solve the following questions.

1. In the given DPQR, ∠PRZ, is an exterior angle. Find:
(a) Measure of ∠PRZ P
52°
(b) ∠PRQ
60°
2. (a) In the following figure, give reason why DE || PQ? Q R Z

120° A

D C E
60°
P B Q
M

(b) In the following figure, MN || ST, find x, y and z.
M N
x z
y

25° 65°
S T
7u + 5
3. Solve the linear equation += 3 by transposition method.
9
2
197 Model Test Paper – 1