Question

Each column of the matrix a=(1,6,6,1,1,1,5,5) represents a vertex of a rectangle on the coordinate plane. If Fan scales the rectangle by finding 4T, what are the vertices of the scaled rectangle? (4, 4), (24, 4), (24, 20), (4, 20) (5, 5), (10, 5), (10, 9), (5, 9) (4, 4), (6, 1), (6, 5), (1, 5) (5, 5), (6, 1), (6, 5), (4, 20)

Answer 1

its A, (4, 4), (24, 4), (24, 20), (4, 20)

Answer 2

The vertices of the scaled rectangle are:

(4,4) , (24,4) , (24,20) , (4,20)

Explanation:

We are given the column of a matrix a as:

1 6 6 1

1 1 5 5

Where the columns represent the vertex of a rectangle on the coordinate plane.

i.e. the vertex of the rectangle are (1,1) , (6,1) , (6,5) , (1,5)

Now If Fan scales the rectangle by finding 4T, then each of the vertices will get multiplied by 4 i.e. each of the x and y value will get multiplied by 4 ; hence the vertices of the scaled rectangle will be:

(4,4) , (24,4) , (24,20) , (4,20)