Name Class Date Form G 4-7 in Practice (continued) Complete the following proof. 14. Given: , and are right angles, is the midpoint of RUT UTS V US. Prove: RVU TVS Statements Reasons 1) and are right angles, is 1) , RUT UTS V the midpoint of . 2) 2) 3) 3) All right angles are congruent 4) 4) SAS 5) and are complementary 5) RUS SUT angles. 6) 6) Definition of complementary angles 7) 7) SUT RTU 8) 8) RUS STR 9) 9) Definition of midpoint 10) 10) RVU TVS 11) 11) RVU TVS Write a paragraph proof. 15. is the midpoint of Given: P Prove: MRQ MRN In the diagram at the right, and Which two triangles are congruent by 16. A C, , . SAS? Explain. Teaching Resources Prentice Hall Gold Geometry • Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 64
Name Class Date in 4-7 Practice (continued) Form G 14. Complete the following proof. Given: , RUT and UTS are right angles, V is the midpoint of US. Prove: RVU TVS Statements Reasons 1) , RUT and UTS are right angles, V is the midpoint of . 1) 2) 2) 3) 3) All right angles are congruent 4) 4) SAS 5) RUS and SUT are complementary angles. 5) 6) 6) Definition of complementary angles 7) SUT RTU 7) 8) RUS STR 8) 9) 9) Definition of midpoint 10) RVU TVS 10) 11) RVU TVS 11) 15. Write a paragraph proof. Given: P is the midpoint of Prove: MRQ MRN 16. In the diagram at the right, A C, , and . Which two triangles are congruent by SAS? Explain. Prentice Hall Gold Geometry • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 64
Congruence-in-Overlapping-Triangles.docx