Quadrilateral ABCD ≅ LMNO ≅ STUV. if STUV is a rectangle and diagonal SU = 5cm, what is the length of diagonals AC and BD?

Question

According to the Transitive Property, AC and BD = _____cm

Answer 1

Since quadrilateral ABCD is congruent to quadrilateral STUV, and STUV is a rectangle, the diagonals AC and BD of quadrilateral ABCD will be equal in length to the diagonals of rectangle STUV.

In a rectangle, the diagonals are equal in length and can be calculated using the Pythagorean theorem. For rectangle STUV, if diagonal SU = 5 cm, then the other diagonal TV will also be 5 cm because both diagonals of a rectangle are equal.

Since ABCD ≅ STUV, it follows that diagonals AC and BD will also be 5 cm.

Thus, according to the Transitive Property:

AC and BD = 5 cm.