Question: Please answer questions and provide explanation. 1. Write a paragraph proof for the following conjecture. Given: QS bisects ZPQR . P mZPQS = 45. S

Please answer questions and provide explanation.

1. Write a paragraph proof for the following conjecture. Given: QS bisects ZPQR . P mZPQS = 45. S Prove: APQR is a right triangle. Q R Answer:2. Justify each step in solving the equation 4x = 7(x 3) by writing a reason for each statement. Answer: 4- x = 7 _ 3. Provide reasons for the proof. Given:42 = 24 Q and Z2 and 23 are supplementary Prove: 21 = 23 4 T 2 3 M Answer: Statement Reason 1. 42 = 24 1. Given 2. m/2 = m24 2. Angle congruence postulate 3. 42 and 23 are supplementary 3. Given 4. m/2 + m23 = 180 4. Definition of supplementary angles 5. 21 and 24 are supplementary 5. 6. m21 + m24 = 180 6. Definition of supplementary angles 7. mc1 + m/4 = m/2 + m43 7. 8. m21 + m/4 = m24 + m43 8. 9. m21 = m23 9. 10. 41 = 23 10

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