Question

quadrilateral ( abcdcong lmnocong stuv ). if ( stuv ) is a rectangle and diagonal ( overline{su}=5 mathrm{~cm} ), what is the length of diagonals ( ac ) and ( bd )? (1 point) according to the transitive property, ( ac ) and ( bd=square mathrm{cm} ).

Explanation:

Step1: Use the property of congruent figures

Congruent figures have all corresponding parts equal. Since \(ABCD\cong LMNO\cong STUV\), the diagonals of \(ABCD\) (\(AC\) and \(BD\)) correspond to the diagonal of \(STUV\) (\(SU\)).

Step2: Substitute the given value

Given \(SU = 5\) cm. By the transitive property of congruence (if \(a\cong b\) and \(b\cong c\), then \(a\cong c\)), \(AC=BD = SU\).

Answer:

\(5\)