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Question

Quadrilateral ABCD≅LMNO≅STUV . If STUV is a rectangle and diagonal SU¯¯¯¯¯¯¯=5 cm , what is the length of diagonals AC and BD ?(1 point) According to the Transitive Property, AC and BD= cm.

Answer 1

Given that quadrilaterals ABCD, LMNO, and STUV are congruent (≅), and STUV is a rectangle with diagonal SU = 5 cm, we can use the properties of congruent figures.

In a rectangle, the diagonals are equal in length. Therefore, diagonal SV is also 5 cm in quadrilateral STUV.

Since ABCD ≅ STUV, the diagonals AC and BD of quadrilateral ABCD will also be equal to the diagonals of STUV.

Thus, according to the Transitive Property of congruence, we have:

AC = SU = 5 cm BD = SU = 5 cm

Therefore, the lengths of diagonals AC and BD are both 5 cm.

So the answer is: AC and BD = 5 cm.