Question

1. A dilation with a scale factor of 4 and centered at the origin is applied to AB¯¯¯¯¯ with endpoints A(1, 3) and B(5, 3). Drag and drop to match each point with its correct coordinates.
2. Rectangle ABCD has vertices A(1, 2) , B(4, 2) , C(1, −2) , and D(4, −2) . A dilation with a scale factor of 6 and centered at the origin is applied to the rectangle.

Which vertex in the dilated image has coordinates of (24, 12) ?


A′

B′

C′

D′


3. Line segment AB has endpoints A(1, 4) and B(2, 8) . A dilation, centered at the origin, is applied to AB¯¯¯¯¯ . The image has endpoints A′(18, 12) and B′(14, 1) .

What is the scale factor of the dilation?


18

12

2

8


4. The larger triangle is a dilation of the smaller triangle with a center of dilation at (2,−1) .

What is the scale factor of the dilation?


13

12

2

3

the dilation one is the top and the triangle one is the #4

Answer 1

Answer:

1. A'(4, 12)  and B'(20, 12)

2. B'

3. 1/8

4. 2

Step-by-step explanation:

1.  

A(1, 3) -> A'(1*4, 3*4) = A'(4, 12)

B(5, 3) -> B'(5*4, 3*4) = B'(20, 12)

where 4 is the scale factor , that is, x-coordinate of A' is x-coordinate of A multiplied by the scale factor, and so on.

2.

B(4, 2) -> B'(4*6, 2*6) = B'(24, 12)

3.  

A(1, 4) -> A′(1/8, 1/2)

B(2, 8) -> B′(1/4, 1)

factor = (1/8)/1 = (1/2)/4 = (1/4)/2 = 1/8

4.

distance between point (2,2) and the center of dilation (2, -1) is 3

distance between point (2,5) and the center of dilation (2, -1) is 6

factor = 6/3 = 2

Answer 2

1. (-4,-1) 2.A' (4,12) B'(20,12) 3.B' 4.2  5. 1/8 hope u got them all right  :p