SOLUTION: Given:Segment MP is congruent to segment QS. And NP is congruent to QR. Prove: MN is congruent to RS. This figure is a square with the top left point being M and the top right

Algebra ->  Algebra  -> Geometry-proofs -> SOLUTION: Given:Segment MP is congruent to segment QS. And NP is congruent to QR. Prove: MN is congruent to RS. This figure is a square with the top left point being M and the top right       Log On

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Question 175909: Given:Segment MP is congruent to segment QS. And NP is congruent to QR.
Prove: MN is congruent to RS. This figure is a square with the top left point being M and the top right is P, bottom left is Q and bottom right is S. Point N is between point M and point P and point R is between Q and S. Please help.
Answer by always20leslie(1) About Me  (Show Source):
You can put this solution on YOUR website!
I had this one on my Final Exam. It was EXACTLY the same. =) See if this makes sense to you;
Statements-
1. Segment MP is congruent to segment QS; Segment NP is congruent to segment QR.
2. MN + NP = MP
QR + RS = QS
3. MN + QR = MP
NP + RS = QS
4. Seg. MN is congruent to seg. RS
Reasons-
1. Given
2. Segment Addition Postulate
3. Substitution
4. Substitution
Good Luck! Hope I helped!