SOLUTION: Given: 0 is the midpoint of line segment MQ. 0 is the midpoint of line segment NP. Prove: triangle MON is congruent to triangle QOP statements:

Algebra ->  Geometry-proofs -> SOLUTION: Given: 0 is the midpoint of line segment MQ. 0 is the midpoint of line segment NP. Prove: triangle MON is congruent to triangle QOP statements:       Log On


   

Question 285846: Given: 0 is the midpoint of line segment MQ.
0 is the midpoint of line segment NP.
Prove: triangle MON is congruent to triangle QOP
statements: Reasons.
1. O is the midpoint of line segment MQ. 1. _______________________
2._________________ 2. Definition of Midpoint.
3._________________ 3. given
4._________________ 4. Definition of Midpoint.
5. angle MON is congruent to angle QOP 5. _______________________
6. triangle MON is congruent to triangle QOP. 6. _______________________
i have too find the blanks and idk how.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Given: 0 is the midpoint of line segment MQ.
0 is the midpoint of line segment NP.
Prove: triangle MON is congruent to triangle QOP
It is best to draw the figures to visualize it.

statements: Reasons.
1. O is the midpoint of line segment MQ. 1. ___given____________________
2.___________MO=MQ______ 2. Definition of Midpoint.
3. 0 is the midpoint of line segment NP. 3. given
4.____________NO=OP 4. Definition of Midpoint.
5. angle MON is congruent to angle QOP 5.intersecting lines form congruent angles
6. triangle MON is congruent to triangle QOP. 6. two sides and the angle between them are congruent
start with the given
we are told under given two things
one was used in #1 and #3
what does midpoint mean? #2 and #4
the line MQ and line NP intersect and form congruent angles mon and poq