31.03.2020

Figure RHOM is a rhombus. Line segment R O and Line segment H M 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. Rhombus R H O M has all equal side lengths. Lines are drawn from each point to point S at the center. What is true about AngleMSR? It must be acute. It must be a right angle. It must be equal to AngleMRH. It must be equal to AngleRMS.

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17.02.2022, solved by verified expert
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Options:

a. It must be acute. 

b. It must be a right angle. 

c. It must be equal to Angle MRH. 

d. It must be equal to Angle RMS.

Answer:

b. It must be a right angle. 

Step-by-step explanation:

The figure attached shows the rhombus RHOM with RO and HM as diagonals and are the angle bisectors of the vertex angles.

Let S be the point where the diagonals RO and HM intersects each other.

ΔHOM, ΔMHR, ΔRHO, ΔOMR are four isosceles triangles in the given rhombus.

Since, Diagonals of a rhombus bisect each other at right angle.

Therefore, we have ∠MSR= 90°

That is, ∠MSR is a right angle.

Figure RHOM is a rhombus. Line segment R O and, №15217647, 31.03.2020 23:14

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