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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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
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Previous
lenovo
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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