1 Prove DBC 1 Proof 1 BD is the angle bisector of ABC 1 Given 2 ABD DBC 2 Def

1 prove dbc 1 proof 1 bd is the angle bisector of abc

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1 Prove: DBC 1 Proof: 1. __ BD is the angle bisector of ABC . 1. Given 2. ABD DBC 2. Def. of bisector 3. ABD 1 3. Given 4. DBC 1 4. Transitive Prop. of 1. Given: N is the midpoint of _ MP , Q is the midpoint of _ RP , and _ PQ _ NM . Prove: _ PN _ QR Write a justification for each step. Proof: 1. N is the midpoint of _ MP . 1. Given 2. Q is the midpoint of _ RP . 2. Given 3. _ PN _ NM 3. Def. of midpoint 4. _ PQ _ NM 4. Given 5. _ PN _ PQ 5. Transitive Prop. of 6. _ PQ _ QR 6. Def. of midpoint 7. _ PN _ QR 7. Transitive Prop. of
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Copyright © by Holt, Rinehart and Winston. 71 Holt Geometry All rights reserved. Copyright © by Holt, Rinehart and Winston. 51 Holt Geometry All rights reserved. LESSON 1. Use the given flowchart proof to complete the two-column proof. Given: m BAC m EAF , m CAD m DAE Prove: m BAD m DAF ��� �� ��� �� ��� �� ��� ����� ��� �� ��� �� ��� �� ��� �� ��� �� ��� ����������� ��� �� ��� �� ��� �� ��� �������������� ��� �� ��� ������ Statements Reasons 1. m BAC m EAF , m CAD m DAE 1. a. Given 2. b. m BAC m CAD m EAF m DAE 2. Add. Prop. of 3. m BAC m CAD m BAD , m EAF m DAE m DAF 3. Add. Post. 4. m BAD m DAF 4. c. Subst. 2. Miguel breaks a 17-centimeter-long pencil into two pieces. One of the pieces is 9 centimeters long. Use the given paragraph proof to complete the two-column proof showing that the other piece is 8 centimeters long. Given: AC 17, AB 9 9 17 Prove: BC 8 By the Segment Addition Postulate, the sum of AB and BC equals AC . That is, AB BC AC . It is given that AC 17 and AB 9. Substitution leaves the equation 9 BC 17. Using the Subtraction Property of Equality to take 9 away from both sides shows that BC 8. Statements Reasons 1. AB BC AC 1. a. Seg. Add. Post. 2. AC 17, AB 9 2. Given 3. b. 9 BC 17 3. Subst. 4. c. BC 8 4. Subtr. Prop. of 2-7 Practice A Flowchart and Paragraph Proofs Copyright © by Holt, Rinehart and Winston. 52 Holt Geometry All rights reserved. LESSON 1. Use the given two-column proof to write a flowchart proof. Given: 4 3 Prove: m 1 m 2 Statements Reasons 1. 1 and 4 are supplementary, 2 and 3 are supplementary. 1. Linear Pair Thm. 2. 4 3 2. Given 3. 1 2 3. Supps. Thm. 4. m 1 m 2 4. Def. of ������ ���������������������� ������ �������������������� �������������� �� �� �������� �� ������������ ��
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