geometry

posted by .

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?

  • geometry -

    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

Respond to this Question

First Name
School Subject
Your Answer

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. Math

    1. Given a scale factor of 2, find the coordinates for the dilation of the line segment with endpoints (–1, 2) and (3, –3). (2, 4) and (6, 6) (2, 4) and (6, 6) (–2, 4) and (6, –6) (2, –1) and (–3, 3) 2. Given a scale factor …
  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

    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 ?
  5. 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?
  6. 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?
  7. 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?
  8. 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?
  9. 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?
  10. 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'?

More Similar Questions