Triangle Congruence: SAS Postulate and SSS Postulate Answers

Complete the proof.Given: and bisect each other. Prove: Statements: Reasons: 1. bisects 1. Given 2. 2. Segment bisector 3. 3. Segment bisector 4. 4. 5. 5. A. 4. 4. Vertical angles 5. 5. SAS B. 4. 4. Alternate interior angles are congruent 5. 5. Definition of congruent triangles C. 4. 4. Opposite vertical angles 5. 5. SSS D. 4. 4. Vertical angles 5. 5. ASA Please select the best answer from the choices provided

Complete the proof given the diagram. Prove: Statement: Reason: 1. 1. Given 2. and are right angles 2. Given 3. 3. All right angles are congruent 4. 4. 5. 5. SAS A. by corresponding angles B. by SAS C. by reflexive property of congruence D. by SAS Please select the best answer from the choices provided

Analyze the diagram below and answer the question that follows. Which statement is true? A. by SSS B. by SAS C. by SAS D. by SSS Please select the best answer from the choices provided

Analyze the diagram below and complete the instructions that follow. Find the value of . A. 5 B. 10 C. 30 D. 60 Please select the best answer from the choices provided

Analyze the diagram below and complete the instructions that follow. Find . A. 7 B. 23 C. 84 D. 145 Please select the best answer from the choices provided

Analyze the diagram below and answer the question that follows. If x = 5, what additional information is necessary to show that by SAS? A. B. C. D. Please select the best answer from the choices provided

If , which statement must be true? A. B. C. D. Please select the best answer from the choices provided

Analyze the diagram below and answer the question that follows. If , which of the following statements is not true? A. B. C. D. Please select the best answer from the choices provided

Complete the proof. Given: Prove: Statement: Reason: 1. 1. Given 2. 2. 3. 3. Reflexive property of congruence 4. 4. SSS A. 2. ; 2. Given B. 2. ; 2. Transitive property of congruence C. 2. ; 2. All right angles are congruent D. 2. ; 2. SAS Please select the best answer from the choices provided

Analyze the diagram below and answer the question that follows. Is ? If so, name the postulate or theorem that justifies the congruence. A. Yes, the triangles are congruent by SSA. B. Yes, the triangles are congruent by SAS. C. Yes, the triangles are congruent by SSS. D. No, the triangles cannot be proven congruent with SSA information. Please select the best answer from the choices provided