Question

figure rhom is a rhombus. \\( \overline{ro} \\) and \\( \overline{hm} \\) are the diagonals of the rhombus, as well as angle bisectors of the vertex angles, and they create four isosceles triangles: hom, mhr, rho, and omr. what is true about \\( \angle msr \\)? it must be acute. it must be a right angle. it must be equal to \\( \angle mrh \\). it must be equal to \\( \angle rms \\).

Explanation:

Step1: Recall the property of rhombus diagonals

In a rhombus, the diagonals are perpendicular to each other.

Step2: Analyze the angle formed by diagonals

Since \( \overline{RO} \) and \( \overline{HM} \) are diagonals of rhombus \( RHOM \), and they intersect at point \( S \). The angle \( \angle MSR \) is formed by the intersection of the diagonals.

Answer:

It must be a right angle.