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Triangle J′K′L′ shown on the grid below is a dilation of triangle JKL using the origin as the center of dilation:Two triangles are drawn on a grid. First triangle has vertices J (6, 12), K (9, 6), L (12, 9). Image triangle has vertices J' (2, 4), K' (3, 2), L' (4, 3).Which scale factor was used to create triangle J′K′L′?Options: 1/3431/4

Respuesta :

SOLUTION:

Case: Dilation.

Method:

Notice how the transformation (dilation) occurs

J (6, 12) ------------> J' (2, 4)

K (9, 6) -------------> K' (3, 2)

L (12, 9) -------------> L' (4, 3).

You would notice that each value gets divided by a factor of 3.

Hence the scale factor from the triangle to its image is:

S.F = 1/3

Final answer:

1/3

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