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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 97E
Question
Plz help
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Area of a Circle
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage