Question

three figures exist such that (abcdcong ghij) and (bcdacong rstu).
if (gh = 6mathrm{cm}, hi = 8mathrm{cm}, ij = 10mathrm{cm}), and (gj = 9mathrm{cm}), what is (ts)?

Explanation:

Step1: Use the property of congruent figures

Since \(ABCD\cong GHIJ\), corresponding sides are equal.

Step2: Find the corresponding side

In \(ABCD\cong GHIJ\), \(BC\) corresponds to \(HI\). Given \(HI = 8\mathrm{cm}\), so \(BC=8\mathrm{cm}\).

Step3: Use the second congruence

Since \(BCDA\cong RSTU\), corresponding sides are equal. \(BC\) in \(BCDA\) corresponds to \(TS\) in \(RSTU\).

Answer:

\(8\mathrm{cm}\)