Question

rectangle proofs practice
complete this assessment to review what youve learned. it will not count toward your grade.
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 quadrilaterals

Since \(ABCD\cong LMNO\cong STUV\), corresponding parts of congruent quadrilaterals are congruent.

Step2: Use the property of rectangle diagonals

In rectangle \(STUV\), \(SU\) is a diagonal. For rectangles, diagonals are equal. Also, because of the congruence \(ABCD\cong STUV\), the diagonals \(AC\) (of \(ABCD\)) and \(SU\) (of \(STUV\)) are congruent (\(AC = SU\)), and \(BD\) (of \(ABCD\)) and \(SU\) (of \(STUV\)) are congruent (\(BD=SU\)) as well. Given \(SU = 5\mathrm{cm}\), so \(AC=BD = 5\mathrm{cm}\).

Answer:

5