Use the given information to compete the proof. Arrange the reasons in the correct order. Given: OE is a median of AOPN AOPN is isosceles with vertex 0 Prove: AOEP = AOEN E Statements Reasons 1. OE is a median of AOPN 1. Given AOPN is isosceles with vertex O 2. E is the midpoint of PN 2.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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Use the given information to compete the proof. Arrange the reasons in the correct order.
Given: OE is a median of AOPN
AOPN is isosceles with vertex 0
Prove: AOEP AOEN
P
N.
Statements
Reasons
1. OE is a median of AOPN
AOPN is isosceles with vertex O
1. Given
2. E is the midpoint of PN
2.
3. PE = NE
3.
4. OP ON
4.
5. OE 0E
5.
6. ATBM AVYM
6.
acer
Transcribed Image Text:Use the given information to compete the proof. Arrange the reasons in the correct order. Given: OE is a median of AOPN AOPN is isosceles with vertex 0 Prove: AOEP AOEN P N. Statements Reasons 1. OE is a median of AOPN AOPN is isosceles with vertex O 1. Given 2. E is the midpoint of PN 2. 3. PE = NE 3. 4. OP ON 4. 5. OE 0E 5. 6. ATBM AVYM 6. acer
AOPN is isosceles with vertex 0
2. É is the midpoint of PN
3. PE NE
3.
4. OP = ON
5. OE OE
5.
6. ATBM AVYM
6.
Drag the boxes in the correct order
Defn. of median of a triangle
Defn. of isosceles triangle
reflexive
Defn. of midpoint
SSS
HDN
cer
2.
4.
1.
Transcribed Image Text:AOPN is isosceles with vertex 0 2. É is the midpoint of PN 3. PE NE 3. 4. OP = ON 5. OE OE 5. 6. ATBM AVYM 6. Drag the boxes in the correct order Defn. of median of a triangle Defn. of isosceles triangle reflexive Defn. of midpoint SSS HDN cer 2. 4. 1.
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