Question

rectangle proofs practice
complete this assessment to review what youve learned. it will not count toward your grade.
quadrilateral ( a b c d cong l m n o cong s t u v ). if ( s t u v ) is a rectangle and diagonal ( overline{s u}=5 mathrm{~cm} ), what is the length of diagonals ( a c ) and ( b d ) ? (1 point)
according to the transitive property, ( a c ) and ( b d=square mathrm{cm} ).

Explanation:

Step1: Use the property of congruent quadrilaterals

If \(ABCD\cong LMNO\cong STUV\), then their corresponding parts are congruent. The diagonals \(AC\), \(BD\) (of \(ABCD\)) and \(SU\) (of \(STUV\)) are corresponding parts.

Step2: Apply the transitive property

Since \(ABCD\cong STUV\), and \(SU = 5\) cm, by the transitive property of congruence (if \(a\cong b\) and \(b\cong c\), then \(a\cong c\)), the length of \(AC\) and \(BD\) is equal to the length of \(SU\).

Answer:

\(5\)