Question

What is the similarity ratio of ABCD to STQR?Simplify your answer and write it as a proper fraction, improper fraction, or whole number.

Answer 1

Given

ABCD is similar to STQR.

To find: The similarity ratio of ABCD to STQR.

Explanation:

It is given that,

That implies,

The similarity ratio of ABCD to STQR is,

$\begin{gathered} \frac{AB}{ST}=\frac{BC}{TQ}=\frac{CD}{QR}=\frac{AD}{SR}=\frac{3}{1} \\ \Rightarrow AB:ST=BC:TQ=CD:QR=AD:SR=3:1 \end{gathered}$

Hence, the similarity ratio of ABCD to STQR is 3:1=3.