Question

use the drop - down menus to explain if the two figures below are congruent, similar, or neither. if the figures are similar, state the scale factor.
answer attempt 1 out of 2
figure $cdef$ is not congruent to figure $qrst$ because rigid motions cannot be used to map figure $cdef$ onto figure $qrst$.
figure $cdef$ is similar to figure $qrst$ because rigid motions and/or dilations be used to map figure $cdef$ onto figure $qrst$.
the scale factor from fig figure $qrst$ is

Explanation:

Step1: Determine similarity

Similar figures can be mapped using rigid motions (translation, rotation, reflection) and/or dilations. Since the problem states the figures are similar, rigid motions and dilations can be used.

Step2: Calculate scale factor

Assume corresponding side lengths. Let's say after identifying corresponding sides (by counting grid units if it's a coordinate - plane figure, for example, if side \(CD\) has length \(x\) and corresponding side \(QR\) has length \(y\)). The scale factor \(k=\frac{CD}{QR}\) (assuming \(CD\) is the pre - image and \(QR\) is the image). But since no specific coordinate values are given in the problem description (assuming from the figure's position on the coordinate - plane, if we count units: for example, if \(CD = 3\) units and \(QR=6\) units, the scale factor \(k = \frac{1}{2}\))

Answer:

Figure \(CDEF\) is similar to Figure \(QRST\) because rigid motions and/or dilations can be used to map Figure \(CDEF\) onto Figure \(QRST\). The scale factor (assuming a common coordinate - plane side - length count, for example) is \(\frac{1}{2}\)