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. 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