Question

FAST PLs In the rectangle below, AC = 30 units. What is DE?

Answer 1

Answer:

30/2 = 15, so D.

Step-by-step explanation:

Answer 2

Based on the definition of the diagonal of a rectangle, the length of DE is: D. 15.

Diagonals of a Rectangle

• The diagonals of a rectangle are congruent, meaning they have equal length measure.
• The diagonals also bisect each other, dividing each into equal segments.

Thus:

AC = 30 units.

AC = DB

DB = 30 units

Therefore:

DE = 1/2(DB)

DE = 1/2(30)

DE = 15 units

Therefore, based on the definition of the diagonal of a rectangle, the length of DE is: D. 15.

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