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- dilation (lesson)

1) in a dilation of a figure, the distance between two consecutive vertices does not change

• true

• false


2) the coordinates of the vertices of a triangle JKL are J (4,8) K (8,8) L (4,2). Find the coordinates of the vertices of the image after a dilation by K = 0.25


• J (2,1) K (2,2) L (1,2)

• J (-2,1) K (4,2) L (1,0.5)

• J (1,2) K (2,2) L (1,0.5)

Answer :

Answer:

see explanation

Step-by-step explanation:

(1) False

A dilatation enlarges or reduces the original figure

Then the distance between consecutive vertices changes.

(2)

Assuming the centre of dilatation is at the origin then multiply the coordinates of the points by the scale factor k = 0.25 ( a reduction )

J (4, 8 ) → J' (4(0.25), 8(0.25) ) → J' (1, 2 )

K (8, 8 ) → K' (8(0.25), 8(0.25) ) → K' (2, 2 )

L (4, 2 ) → L' (4(0.25), 2(0.25) ) → L' (1, 0.5 )

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