Remember:
a) (x,y) => (x, -y) is a reflection across X axis
b) (x,y) => (-x,y) is a reflection across Y axis
Here △RST is mapped to △R′S′T′ using the rule (x,y)→(x,−y)
Hence it is a reflection across X axis.
The size of the triangle does not alter.
But when this is followed by (x,y)→(3x,3y), the lengths increase by a factor 3.
Hence the triangles do not remain congruent.
△RST is not congruent to △R′S′T′ because the rules do not represent a sequence of rigid motions.
Option A) is the right answer
To answer the question, let x be the number of employees working at Stalling Printing. 90% of this number is 63. Thus,
0.90x = 63
The value of x in this item is 70. Therefore, there are 70 employees working in Stalling Printing.
Divisor and Dividend are fractions lying between 0 and 1
Also, Divisor > Dividend
⇒ A smaller number is being divided by a larger number
Whenever a smaller number is divided by a larger number, the quotient is less than 1
E.g. Let divisor be
and dividend be
÷
=
, which is less than 1
Hence, the answer is that the quotient will be less than 1