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Fill in the reasons to complete the following proof. Given: AB || DC, AB DC Prove: M is the midpoint of both DB and AC M. Statements Reasons 1. AB || DC 1. Given 2. ZBAC ZDCA; ZBDC ZDBA 2. If two parallel lines are cut by a transversal, alternate interior angles are congruent. 3. AB DOC 3. Given 4. AABM ACDM 4. ASA 5. BM DM, AM CM 5. Corresponding parts of congruent triangles are congruent. 6. 6. M is the midpoint of both DB and

Fill in the reasons to complete the following proof. Given: AB || DC, AB DC Prove: M is the midpoint of both DB and AC M. Statements Reasons 1. AB || DC 1. Given 2. ZBAC ZDCA; ZBDC ZDBA 2. If two parallel lines are cut by a transversal, alternate interior angles are congruent. 3. AB DOC 3. Given 4. AABM ACDM 4. ASA 5. BM DM, AM CM 5. Corresponding parts of congruent triangles are congruent. 6. 6. M is the midpoint of both DB and

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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P Performance Matters Welcome, Christian Brodie! Question 17 of 30 - Geometry_2021PMA2_1206310 GE002 Question: 1-17 Fill in the reasons to complete the following proof. Given: AB || DC, AB DC Prove: M is the midpoint of both DB and AC M Statements Reasons 1. Given 1. AB || DC 2. ZBAC = DCA; /BDC= ZDBA 2. If two parallel lines are cut by a transversal, alternate interior angles are congruent. 3. Given 3. AB DO 4. AABM = ACDM 4. ASA CM 5. Corresponding parts of congruent triangles are congruent. |5. ВМ Dм, АМ 6. 6. M is the midpoint of both DB and AC Pause Previous lenovo
Transcribed Image Text:P Performance Matters Welcome, Christian Brodie! Question 17 of 30 - Geometry_2021PMA2_1206310 GE002 Question: 1-17 Fill in the reasons to complete the following proof. Given: AB || DC, AB DC Prove: M is the midpoint of both DB and AC M Statements Reasons 1. Given 1. AB || DC 2. ZBAC = DCA; /BDC= ZDBA 2. If two parallel lines are cut by a transversal, alternate interior angles are congruent. 3. Given 3. AB DO 4. AABM = ACDM 4. ASA CM 5. Corresponding parts of congruent triangles are congruent. |5. ВМ Dм, АМ 6. 6. M is the midpoint of both DB and AC Pause Previous lenovo
Performance Matters Welcome, Christian Brodie! Question 17 of 30 - Geometry 2021PMA2_1206310 GE002 Question: 1-17 Fill in the reasons to complete the following proof. Given: AB || DC, AB DC Prove: M is the midpoint of both DB and AC B HL SSA AAS SAS Statements 1. AB DC SS 2. ZBAC ZDCA; ZBDC = ZDBA ASA Given Definition of a midpoint Vertical angles are congruent Definițion of a segment bisector Corresponding parts of congruent triangles are congruent. If two parallel lines are cut by a transversal, alternate interior angles are congruent. If two parallel lines are cut by a transversal, corresponding angles are congruent. 3. AB DC 4. AABM ACDM 5. BM DM, AM = CM 6. M is the midpoint of both DB and AC Pause Previous
Transcribed Image Text:Performance Matters Welcome, Christian Brodie! Question 17 of 30 - Geometry 2021PMA2_1206310 GE002 Question: 1-17 Fill in the reasons to complete the following proof. Given: AB || DC, AB DC Prove: M is the midpoint of both DB and AC B HL SSA AAS SAS Statements 1. AB DC SS 2. ZBAC ZDCA; ZBDC = ZDBA ASA Given Definition of a midpoint Vertical angles are congruent Definițion of a segment bisector Corresponding parts of congruent triangles are congruent. If two parallel lines are cut by a transversal, alternate interior angles are congruent. If two parallel lines are cut by a transversal, corresponding angles are congruent. 3. AB DC 4. AABM ACDM 5. BM DM, AM = CM 6. M is the midpoint of both DB and AC Pause Previous
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