Question

Triangle T is enlarged with a scale factor of 4 and centre (0Ė0) . a) What are the coordinates of A and A'? b) What are the coordinates of B'? Y 8- 7- 6- 5- 4- 3- 2- 1- A 1 N. 2 A' B 3 4 5 16 7 8 9 X​

Answer 1

Explanation:

To enlarge a triangle T with a scale factor of 4 and center (0,0), you can use the following formula for enlarging a point (x, y):

A'x = 4 * (Ax - 0)

A'y = 4 * (Ay - 0)

Where (Ax, Ay) are the coordinates of point A, and (A'x, A'y) are the coordinates of the corresponding point A' after enlargement.

a) To find the coordinates of A and A':

Let's assume the coordinates of point A are (1, 2).

A'x = 4 * (1 - 0) = 4

A'y = 4 * (2 - 0) = 8

So, the coordinates of A' are (4, 8).

b) To find the coordinates of B':

Let's assume the coordinates of point B are (3, 5).

B'x = 4 * (3 - 0) = 12

B'y = 4 * (5 - 0) = 20

So, the coordinates of B' are (12, 20).

Now you have the coordinates of points A' and B' after enlarging triangle T with a scale factor of 4 and center (0,0).