UNIT 4 TRIANGLES T. Prove: ARTS= ARTU Complete the proof. Proof: Statements Reasons 1. RT ISU 2. ZRTS and RTU are right angles. 3. ZRTS ZRTU 4. ZSRT = URT 5. ZS = ZU 1. Given 2. 3. Right Angle Congruence Theorem 4. Given 5. 6. Given 6. RS = RU 7. Given 7. Tis the midpoint of SU. 8. ST = UT 8. Definition of midpoint 9. 9. RT = RT 10. ARTS = ARTU 10. Definition of congruent triangles Vertical Definition of Third Angles Reflexive CPCTC Perpendicular Lines Angles Theorem Property Theorem Statement 2 Statement 5 Statement9

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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UNIT 4 TRIANGLES
T.
Prove: ARTS = ARTU
Complete the proof.
Proof:
Statements
Reasons
1. RT 1SU
2. ZRTS and RTU are right angles.
3. ZRTS RTU
4. ZSRT = URI
5. ZS= ZU
1. Given
2.
3. Right Angle Congruence Theorem
4. Given
5.
6. RS = RU
6. Given
7. T is the midpoint of SU.
7. Given
S. ST = UT
8. Definition of midpoint
9.
9. RT = RT
10. ARTS = ARTU
10. Definition of congruent triangles
Vertical
Definition of
Third Angles
Reflexive
СРСТC
Angles
Perpendicular
Theorem
Property
Theorem
Lines
Statement 2
Statement 5
Statement 9
Transcribed Image Text:ation UNIT 4 TRIANGLES T. Prove: ARTS = ARTU Complete the proof. Proof: Statements Reasons 1. RT 1SU 2. ZRTS and RTU are right angles. 3. ZRTS RTU 4. ZSRT = URI 5. ZS= ZU 1. Given 2. 3. Right Angle Congruence Theorem 4. Given 5. 6. RS = RU 6. Given 7. T is the midpoint of SU. 7. Given S. ST = UT 8. Definition of midpoint 9. 9. RT = RT 10. ARTS = ARTU 10. Definition of congruent triangles Vertical Definition of Third Angles Reflexive СРСТC Angles Perpendicular Theorem Property Theorem Lines Statement 2 Statement 5 Statement 9
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