Complete the following proof by filling in the blanks
Give: HX¯¯¯¯¯¯¯¯¯⊥MP¯¯¯¯¯¯¯¯¯
,MH¯¯¯¯¯¯¯¯¯¯≅HP¯¯¯¯¯¯¯¯
Prove: △HMX≅△HPX
(4 points)
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Statements Reasons
1. HX¯¯¯¯¯¯¯¯¯⊥MP¯¯¯¯¯¯¯¯¯
1. Given
2. <HXM and <HXP are right angles 2. Response area
3. MH¯¯¯¯¯¯¯¯¯¯≅HP¯¯¯¯¯¯¯¯
3. Response area
4. Response area 4. Reflexive Property
5. △HMX≅△HPX
5. Response area
Statements Reasons
1. HX¯¯¯¯¯¯¯¯¯⊥MP¯¯¯¯¯¯¯¯¯
1. Given
2. <HXM and <HXP are right angles 2. Definition of perpendicular lines
3. MH¯¯¯¯¯¯¯¯¯¯≅HP¯¯¯¯¯¯¯¯
3. Given
4. M in <HXM is congruent to H in <HXP 4. Definition of congruent angles
5. HX¯¯¯¯¯¯¯¯¯ is congruent to HX¯¯¯¯¯¯¯¯¯ 5. Reflexive Property
6. MX¯¯¯¯¯¯¯¯¯ is congruent to PX¯¯¯¯¯¯¯¯¯ 6. Definition of congruent segments
7. <HMX is congruent to <HPX 7. Definition of congruent angles
8. △HMX≅△HPX 8. SAS (Side-Angle-Side) congruence theorem