Question

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?

Answer 1

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)

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)