Question

is parallelogram rstu a rectangle? yes no submit work it out not feeling ready yet? this can help:

Explanation:

Step1: Recall the property of a rectangle

In a rectangle, the diagonals are equal in length.

Step2: Calculate the lengths of the diagonals

In parallelogram \(RSTU\), let the diagonals be \(TR\) and \(SU\).
If \(TV = 81\), then \(TR=TV + VR\). Since in a parallelogram the diagonals bisect each other, \(VR = TV = 81\), so \(TR=81 + 81=162\).
If \(SV = 72\), then \(SU=SV + VU\). Since in a parallelogram the diagonals bisect each other, \(VU = SV = 72\), so \(SU=72+72 = 144\).

Step3: Compare the lengths of the diagonals

Since \(TR = 162\) and \(SU=144\), \(TR
eq SU\).

Answer:

no