On a coordinate plane, 2 polygons are shown. Polygon A B C D has points (negative 3, 3), (5, 3), (5, negative 1), and (1, negati
ve 5). Polygon A prime B prime C prime D prime has points (negative 5, negative 2), (negative 3, negative 2), (negative 3, negative 3), and (negative 4, negative 4).
Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?
a dilation with a scale factor of One-fourth and then a rotation
a dilation with a scale factor of One-fourth and then a translation
a dilation with a scale factor of 4 and then a rotation
a dilation with a scale factor of 4 and t
Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?
a dilation with a scale factor of One-fourth and then a rotation
a dilation with a scale factor of One-fourth and then a translation
a dilation with a scale factor of 4 and then a rotation
a dilation with a scale factor of 4 and t
2 answers:
Answer:
A dilation with a scale factor of One-fourth and then a translation
Step-by-step explanation:
Plot points A, B, C, D, A', B, C' and D' on the coordinate plane and draw quadrilaterals ABCD and A'B'C'D'.
These quadrilaterals are similar and quadrilateral a'B'C'D' has sides 4 times smaller than quadrilateral ABCD.
This means that the dilation with a scale factor of one-fourth was performed.
The figures were not rotated (they have the same positions), so the second transformation was translation.
Hence, correct option is B: a dilation with a scale factor of One-fourth and then a translation
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Answer:
636.4 in³
Step-by-step explanation:
Volume of a cone is given by:
where r is the radius of the base of the cone and h is its height.
It is given that, the radius of the base of the cone is, r = 8 in
The height of the cone is, h = 9.5
Thus, the volume of the cone is 636.4 in³
You pass the free terms wich don't contain 'x' in the othe part of the equal with changed signe ans the same for the terms wich contain x.