Asked by Supreme $TO
On a coordinate plane, 2 trapezoids are shown. Trapezoid A B C D has points (negative 2, 4), (2, 4), (negative 3, 0) and (3, 0). Trapezoid E F G H has points (negative 1, 2), (1, 2), (negative 2, 0) and (2, 0).
Derek tried to dilate the isosceles trapezoid ABDC with the center of dilation at the origin with a scale factor of 2. Check his work and complete the statements.
The slope of AC is
.
The slope of EG is
.
The polygons are not dilations of each other because
.
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The slope of AC is 4.
The slope of EG is 2.
The polygons are not dilations of each other because corresponding slopes are not equal (equivalently, corresponding vertices were not multiplied by the same scale factor — e.g. A → E is a factor 1/2 while C → G is a factor 2/3).
The slope of EG is 2.
The polygons are not dilations of each other because corresponding slopes are not equal (equivalently, corresponding vertices were not multiplied by the same scale factor — e.g. A → E is a factor 1/2 while C → G is a factor 2/3).
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