Question

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

Answer 1

ZD = 10

Explanation:

In a parallelogram

1. Every two opposite sides are parallel
2. Every two opposite sides are equal
3. Every two opposite angles are equal
4. Every two adjacent angles are supplementary
5. 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