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, negative 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

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

43

step-by-step explanation:

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.