SOLUTION: Given: Parallelogram HOME Prove: line segment HO is congruent to line segment ME; line segment OM is congruent to line segment HE Proof: Statements: 1. 2. 3. Draw line segmen

Click here to see ALL problems on Geometry proofs

Question 919668: Given: Parallelogram HOME
Prove: line segment HO is congruent to line segment ME; line segment OM is congruent to line segment HE
Proof:
Statements:
1.
2.
3. Draw line segment EO
4.
5.
6.Triangle HOE is congruent to triangle MEO
7. line segment HO is congruent o line segment ME; line segment OM is congruent to line segment HE
Reasons:
1. Given
2. Definition of a parallelogram
3.
4. Alternate Interior Angles are Congruent
5. Reflexive Property
6.
7.
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
Given: Parallelogram HOME
Prove: line segment HO is congruent to line segment ME; line segment OM is congruent to line segment HE
Proof:
Statements:
1. HOME IS A PARALLELOGRAM
2. HO PARALLEL TO EM AND HE PARALLEL TO OM
3. Draw line segment EO
4. ANGLE HEO CONGRUENT TO MOE AND ANGLE OEM CONGRUENT TO EOH
5. EO CONGRUENT TO EO
6. Triangle HOE is congruent to triangle MEO
7. line segment HO is congruent to line segment ME; line segment OM is congruent to line segment HE
Reasons:
1. Given
2. Definition of a parallelogram
3. TWO POINTS DETERMINE A LINE
4. Alternate Interior Angles are Congruent
5. Reflexive Property
6. ASA
7. CORRESPONDING SIDES OF CONGRUENT TRIANGLES ARE CONGRUENT