Question

abcd ~ ijkh. find ab and bc. ab = bc =

Explanation:

Step1: Determine the scale factor

Since \(ABCD\sim IJKH\), the ratio of corresponding sides is the same. The side \(AD = 5\) corresponds to \(HK = 1\). The scale factor \(k=\frac{AD}{HK}=\frac{5}{1}=5\).

Step2: Find \(AB\)

The side \(IJ = 1\) corresponds to \(AB\). Using the scale - factor formula \(\frac{AB}{IJ}=k\). Substituting \(k = 5\) and \(IJ = 1\), we get \(AB=k\times IJ=5\times1 = 5\).

Step3: Find \(BC\)

The side \(JK = 2\) corresponds to \(BC\). Using the scale - factor formula \(\frac{BC}{JK}=k\). Substituting \(k = 5\) and \(JK = 2\), we get \(BC=k\times JK=5\times2=10\).

Answer:

\(AB = 5\)
\(BC = 10\)