Question

three figures exist such that abcd ≅ ghij and bcda ≅ rstu. if gh = 6 cm, hi = 8 cm, ij = 10 cm, and gj = 9 cm, what is ts? 6 cm 8 cm 9 cm 10 cm

Explanation:

Step1: Use the property of congruent figures

Since \(ABCD\cong GHIJ\), their corresponding sides are equal. Then \(BC = HI\). Given \(HI = 8\mathrm{cm}\), so \(BC=8\mathrm{cm}\).

Step2: Use the second congruence relation

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

Answer:

\(8\mathrm{cm}\) (the second option)