Given: mzAEB = 90°, E is the C midpoint of both AC and BD Prove:

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter70: Complex Practical Machine Applications
Section: Chapter Questions
Problem 6A: Determine the distance AB if CO = 19.8 mm.
Question
Given: mzAEB = 90°, E is the
В
C
midpoint of both AC and BD
Prove: <BDCLABD
3.
A
D
Statements
Reasons
1.
1.
2. AE = EC, BE = ED
2.
3. BD and AC are perpendicular
3.
4.
4. A quadrilateral whose
diagonals are perpendicular and
bisect each other is Rhombus.
5. AB and CD are Parallel
5.
6.
6. Definition of Alternate
Interior Angles
7. M2BDC = M ABD
7.
8. Definition of Congruent
Angles
8.
Transcribed Image Text:Given: mzAEB = 90°, E is the В C midpoint of both AC and BD Prove: <BDCLABD 3. A D Statements Reasons 1. 1. 2. AE = EC, BE = ED 2. 3. BD and AC are perpendicular 3. 4. 4. A quadrilateral whose diagonals are perpendicular and bisect each other is Rhombus. 5. AB and CD are Parallel 5. 6. 6. Definition of Alternate Interior Angles 7. M2BDC = M ABD 7. 8. Definition of Congruent Angles 8.
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