Hexagon defghi is translated 8 units down and 3 units to the right. if the coordinates of the pre-image of point f are
(–9, 2), what are the coordinates of f'?

(–17, 5)
(–6, –6)
(–17, –1)
(–12, –6)

Solution:

Given: Hexagon DEFGHI is translated 8 units down and 3 units to the right.

Coordinates of point F i.e Pre image = (-9,2)

The rule for transformation is

1. If a point (x,y) is translated a units right and b units up ,the coordinate of new point will be = (x +a,y+b)

2. If a point (x,y) is translated a units left and b units up ,the coordinate of new point will be = (x -a,y+b)

3. If a point (x,y) is translated a units right and b units down ,the coordinate of new point will be = (x +a,y-b)

4. If a point (x,y) is translated a units left and b units down ,the coordinate of new point will be = (x -a,y-b)

Using the above rule , the coordinates of F'= (-9+3, 2-8)=(-6,-6)→Option (B)

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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