Question

the figure shown is a rhombus.

which equation is true regarding the angles formed by the diagonals and sides of the rhombus?

\\(x + y = z\\)
\\(2x = y + z\\)
\\(z + x = 2y\\)
\\(2x + 2y = 4z\\)

Explanation:

Identify diagonal properties

Using the Rhombus Properties knowledge point

$$ z = 90 $$

Relate acute angles

Using the Rhombus Properties knowledge point

$$ x + y = 90 $$

Substitute and evaluate equations

Using the Rhombus Properties knowledge point

$$
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$$

Answer:

• (A) \(x + y = z\) (Correct answer)
• (B) \(2x = y + z\)
• (C) \(z + x = 2y\)
• (D) \(2x + 2y = 4z\)