# geometry

posted by Brandon

the endpoints of AB are A(9,4) and B(5,-4) the endpoints of its image after a dilation are A1(6,3) and B1(3,-3) explain how to find the scale factor.
Is there someone that can help me with this problem and explain foe me?

1. Steve

Since dilation is linear, if we extend the lines A-A1 and B-B1 to their intersection, we find that the center of dilation is

C = (-27/7,-3/5)

So,
CA = 13.66
CA1 = 10.49
scale = 10.49/13.66 = 0.76

check to make sure that B->B1 is dilated by the same amount:

CB = 9.49
CB1 = 7.26
scale = 7.26/9.49 = 0.76

## Similar Questions

1. ### geometry

The endpoints of are A(9, 4) and B(5, –4). The endpoints of its image after a dilation are A'(6, 3) and B'(3, –3). can you please Explain how to find the scale factor.
2. ### geometry

The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image . What are the slope (m) and length of ?
3. ### geometry

The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image . What are the slope (m) and length of ?
4. ### Geometry

A segment with endpoints (3, -2) and (4, 2) is dilated to the image segment with endpoints (9, -6) and (12, 6). What is the scale factor for the dilation?
5. ### Geometry (Please check my work)

A segment has endpoints M(6,15) and N(-3,9). The image of the segmen for a dilation with center (0,0), has endpoints M'(2,5)and N (-1,3). What is the scale factor of dilation?
6. ### Geometry

A segment has endpoints X (-6,2) and Y (-1,-3). Which are the coordinates of the image for a dilation with scale factor of 1.5 and center at the origin?
7. ### geometry

A segment has endpoints m(5, -2) and n(-1, -2). After a dilation with center(0,0), M'(10,-4), and N'(-2,-4). If the scale factor is 3x+2, then which of the following is the value of x?
8. ### Geometry

A pre-image segment with endpoints (3,-2) and (4,2) is dilated to the image segment with endpoints (9,-6) and (12,6). What is the scale factor for the dilation?
9. ### geometry

PQ has endpoints at P (-2,3) and Q (4,1). The center of dilation is (-1,4) and the scale factor is 2. What are the coordinates of the endpoints of P'Q'?
10. ### Geometry

Hello! Can someone please help me with this question, I'm super confused! The endpoints of line AB are A(9,4) and B(5,-4). The endpoints of its image after a dilation are A1(6,3) and B1(3,-3). Find the scale factor and explain each …

More Similar Questions