Question

I need urgent help with these types of problems bc I suck at geometry please ITS URGENT SOMEONE HELP I BEg of you!

Answer 1

See explanation

Explanation:

Statement Reason

1.
`\overline{PS}\perp \overline{SQ}` Given

2.
`m\angle PSQ = 90^(\circ)` Definition of perpendicular lines

3.
`\triangle PSQ` is right triangle Definition of right triangle

4.
`\overline{RQ}\perp \overline{SQ}` Given

5.
`m\angle RQS = 90^(\circ)` Definition of perpendicular lines

6.
`\triangle RQS` is right triangle Definition of right triangle

7.
`m\angle PSQ=m\angle RQS` Substitution property of equality

8.
`\overline {SQ}\cong \overline {QS}` Reflexive property

9.
`\overline {PQ}\cong \overline {RS}` Given

10.
`\triangle PSQ\cong \triangle RQS` HL postulate