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Which figure could be the result of dilating the trapezoid with a scale factor between 0 and 1?

Which figure could be the result of dilating the trapezoid with a scale factor between-example-1
User PaichengWu
by
5.9k points

2 Answers

3 votes

Answer:

D

Explanation:

User Kamil W
by
6.3k points
6 votes

Answer:

D.

Explanation:

The missing options are:

A. On a coordinate plane, a trapezoid has points (0, 0), (1, 3), (2, 3), (3, 0).

B. On a coordinate plane, a trapezoid has points (0, 0), (1.5, 6), (4.5, 6), (6, 0).

C. On a coordinate plane, a trapezoid has points (0, 0), (2, 9), (5, 9), (6.5, 0).

D. On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0).

A dilation with a scale factor between 0 and 1 generates a smaller figure than the original.

The first option is a figure smaller than the original only in height; the length of its bottom base is the same as the original trapezoid (3 units long)

The second and third options are bigger trapezoids than the original

If we take the coordinates of the original trapezoid and we dilate them by a scale factor of 0.5 we get:

(0, 0) -> (0*0.5, 0*0.5) = (0, 0)

(1, 4) -> (1*0.5, 4*0.5) = (0.5, 2)

(2, 4) -> (2*0.5, 4*0.5) = (1, 2)

(3, 0) -> (3*0.5, 0*0.5) = (1.5, 0)

which correspond to the trapezoid of the fourth option

User Student Student
by
7.0k points
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