The vertex of a figure is located at (2,4). The figure is rotated and the image of the vertex is located at (4,2). Which of these describes the transformation?

Horizontal translation right '2' units  and Vertical translation down '2' units  

The transformation  of the given vertex (2 , 4)→( 2 +2, 4-2)    

The transformation (2 , 4)→( 4, 2)          

Step-by-step explanation:

Explanation:-

Type of transformation                                change to co-ordinate point

Vertical translation up 'd' units                         (x , y)→(x , y+d)      

Vertical translation down 'd' units                    (x , y)→(x , y-d)        

Horizontal translation left 'c' units                    ( (x , y)→(x-c , y)

Horizontal translation right 'c' units                    ( (x , y)→(x +c , y)  

Reflection over x-axis                                         ( (x , y)→(x , -y)

Reflection over y-axis                                         ( (x , y)→(-x , y)

Now given data The vertex of a figure is located at (2,4)

by above table we observe that

Horizontal translation right '2' units  and Vertical translation down '2' units  

so the transformation (2 , 4)→( 2 +2, 4-2)    

     The transformation (2 , 4)→( 4, 2)          

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

happy to

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