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3 years ago

Instructions: Find the measurement of the diagonal indicated in the following parallelogram. Please help :)

Mathematics

1 answer:

Novay_Z [31]3 years ago

5 0

Answer:

ZD = 10

Step-by-step explanation:

In a parallelogram

Every two opposite sides are parallel
Every two opposite sides are equal
Every two opposite angles are equal
Every two adjacent angles are supplementary
The two diagonals bisect each other (meet each other at their midpoint)

Let us solve the question

∵ ABCD is a parallelogram

∵ AC and DB are its diagonals

→ By using the 5th property above

∴ AC and BD bisect each other

∵ AC ∩ BD at point Z

→ That means Z is the midpoint of them

∴ Z is the midpoint of BD

→ That means Z divides BD into 2 equal parts BZ and ZD

∴ BZ = ZD

∵ BZ = 10

∴ ZD = 10

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