Question

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

Explanation:

Step1: Use the property of congruent figures

Congruent figures have corresponding sides equal. Since \(ABCD\cong GHIJ\), then \(BC = HI\). Given \(HI = 8\mathrm{cm}\), so \(BC=8\mathrm{cm}\).

Step2: Use the second congruence relation

Since \(BCDA\cong RSTU\), then \(TS = BC\) (corresponding sides of congruent figures).

Answer:

\(8\mathrm{cm}\)