Answer:
See explanation
Step-by-step explanation:
Statement Reason
1. [tex]\overline{PS}\perp \overline{SQ}[/tex] Given
2. [tex]m\angle PSQ = 90^{\circ}[/tex] Definition of perpendicular lines
3. [tex]\triangle PSQ[/tex] is right triangle Definition of right triangle
4. [tex]\overline{RQ}\perp \overline{SQ}[/tex] Given
5. [tex]m\angle RQS = 90^{\circ}[/tex] Definition of perpendicular lines
6. [tex]\triangle RQS[/tex] is right triangle Definition of right triangle
7. [tex]m\angle PSQ=m\angle RQS[/tex] Substitution property of equality
8. [tex]\overline {SQ}\cong \overline {QS}[/tex] Reflexive property
9. [tex]\overline {PQ}\cong \overline {RS}[/tex] Given
10. [tex]\triangle PSQ\cong \triangle RQS[/tex] HL postulate
