SOLUTION: How do you prove that, given rhombus POMV and diagonal MO, that diangonal MO bisects the two angles that it stretches between?

Question 115502This question is from textbook Discovering Geometry
: How do you prove that, given rhombus POMV and diagonal MO, that diangonal MO bisects the two angles that it stretches between? This question is from textbook Discovering Geometry

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
all the sides of a rhombus are equal

so the diagonal forms two congruent (SSS) triangles

the angles in the corners are congruent (CPCTC)

should be definition of a bisector
RELATED QUESTIONS
Question: Prove: If a diagonal of a parallelogram bisects an angle of the parallelogram, (answered by venugopalramana)

Given: line segment MO is the perpendicular bisector of line segment LN. Prove: line... (answered by sachi)

The Given is WXYZ is a rhombus. Prove that WY bisects (answered by ikleyn)
The diagonals of rhombus LMAO intersect at P(4,11). If the equation of the line that... (answered by amarjeeth123)
the problem is: ________ M N O P I am given that MN is equal (answered by stanbon)
Prove that a diagonal of a rhombus bisects each vertex angle through which it passes... (answered by Edwin McCravy)
In a rhombus One angle is given 60� .How can we prove that smaller diagonal of a rhombus... (answered by ikleyn)
Together, Larry and Mo require 4hrs 48min to pave a driveway. Alone, Larry would require... (answered by solver91311)
try to draw or picture this in your head. there is a circle and 4 points going around it... (answered by Edwin McCravy)