SOLUTION: Write a coordinate proof (( ^ = Triangle)) ((~ = congruent to)) Given--> Coordinates of TRIANGLE[^]NPO and ^NMO Prove--> ^NPO ~ NMO y P(0,2h)|\

SOLUTION: Write a coordinate proof (( ^ = Triangle)) ((~ = congruent to)) Given--> Coordinates of TRIANGLE[^]NPO and ^NMO Prove--> ^NPO ~ NMO y P(0,2h)|\ | \ |

Question 59934: Write a coordinate proof (( ^ = Triangle)) ((~ = congruent to))
Given--> Coordinates of TRIANGLE[^]NPO and ^NMO
Prove--> ^NPO ~ NMO
y
P(0,2h)|\
| \
| \N(h,h)
| / \
O(0,0) |/___\M(2h,0)__x
^PNO is same shape of triangle as ^MNO i just didn't no how to draw it.
My Proof so far--
Statements | Reasons
1) Coordinates|
of ^NPO & ^NMO| 1) Given
2)Do i need to| 2) Reflexive Property
prove NO~NO? |
3) NO bisects | 3) Definition of an angle bisector?
4)^NPO & ^NMO | 4) Distance formula
have same |
lenght |
5) ^NPO~^NMO | 5) SSS congruence postulate
--^what am i doing wrong?
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
Write a coordinate proof (( ^ = Triangle)) ((~ = congruent to))
Given--> Coordinates of TRIANGLE[^]NPO and ^NMO
Prove--> ^NPO ~ NMO
y
P(0,2h)|\
| \
| \N(h,h)
| / \
O(0,0) |/___\M(2h,0)__x
^PNO is same shape of triangle as ^MNO i just didn't no how to draw it.
My Proof so far--
Statements | Reasons
1) Coordinates|
of ^NPO & ^NMO| 1) Given
2)Do i need to| 2) Reflexive Property
prove NO~NO? |
3) NO bisects | 3) Definition of an angle bisector?
4)^NPO & ^NMO | 4) Distance formula
have same |
lenght |
5) ^NPO~^NMO | 5) SSS congruence postulate
--^what am i doing wrong?
IS IT COORDINATE GEOMETRY OR PURE GEOMETRY?
PN =NM ....N IS MID POINT OF PM (2H+0)/2;(0+2H)/2=(H,H)
OP =OM .....2H=2H
ON=ON
HENCE THE 2 TRIANGLES ARE CONGRUENT

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