Question

a series of transformations on quadrilateral s resulted in quadrilateral t.

• the angle measures of quadrilateral t are congruent to those of quadrilateral s.
• the side lengths of quadrilateral t are twice as long as those of quadrilateral s.

which transformation on quadrilateral s must be included to result in quadrilateral t?
a dilation
b rotation
c reflection
d translation

Explanation:

Step1: Recall transformation properties

Congruent transformations (reflection, rotation, translation) preserve side - lengths and angle - measures. Dilation changes the size of a figure (changes side - lengths).
Since the side - lengths of \(T\) are twice as long as those of \(S\), a dilation (a non - congruent transformation that scales the figure) must be part of the series of transformations.

Answer:

A. dilation