Dilations GP

Topic:
Dilation

DILATION NOTES

* The enlargement or reduction of a figure. * The scale factor indicates how much the figure will enlarge or reduce. * Variable for scale factor: k * When k < 1, the figure gets smaller * When k = 1, the figure stays the same size * When k > 1, the figure gets larger * Dilations results in SIMILAR FIGURES

Problem 1

Graph each figure and its image under the given dilation. Triangle ABC with vertices A(-3, 4), B(2, 1), C(-1, -5): scale factor (k) = 2.

What are the new coordinates of A', B', and C'? Type your answer as A'(n,n) B'(n,n) C'(n,n)

Problem 2

Graph each figure and its image under the given dilation. Parallelogram PQRS with vertices P(2, 3), Q(4, 3), R(3, 1), S(1, 1): scale factor (k) = 3

What are the new coordinates of P', Q', R', S'? Type your answer as P'(n,n) Q'(n,n) R'(n,n) S'(n,n)

Problem 3

Graph each figure and its image under the given dilation. Square EFGH with vertices E(4,-4), F(6,-4), G(6,-6), H(4,-6): scale factor (k) = 1/2

What are the new coordinates of E'F'G'H'? Type your answer as E'(n,n) F'(n,n) G'(n,n) H'(n,n)

Problem 4

Graph each figure and its image under the given dilation. Trapezoid TUVW with vertices T(-9,3), U(0,3), V(0,-3), W(-6,-3): scale factor (k) = 1/3.

What are the new coordinates of T'U'V'W'? Type your answer as T'(n,n) U'(n,n) V'(n,n) W'(n,n)

Problem 5

Graph each figure and its image under the given dilation. Triangle XYZ with vertices X(0,2), Y(4,6), Z(8,0): scale factor (k) = 3/2.

What are the new coordinates of X'Y'Z'? Type your answer as X'(n,n) Y'(n,n) Z'(n,n)

Image

Type your answer here. If your answer is a fraction, type it in fraction form!

Image

Type your answer here. If your answer is a fraction, keep it in fraction form!