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Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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
Transcribed Image Text:Complete the following two-column proof. Select the correct answer from the list
Statement
Reason
1. C is the midpoint of AE and DB
1. Given
2. LACB and ZDCE are vertical angles 2. Given
3. ZACB ZDCE
3.
1
Vertical Angles Theorem
4. AC CE
4. Definition of a midpoint
5. BC CD
5. Definition of a midpoint
6. AACB AECB
6.
SAS congruence criteria
7. AB DE
7.
Definition of a midpoint X
Can you explain
why "CPCTC" is
correct for the
Correct answers:
3
СРСТС
last one?
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- a rope is attached to two poles 20 meters apart. The short pole is 1.5 meters high. Angle a is defined as the angle between the rope and the horizontal and angle b is defined as the angle between the rope and their vertical. if a is 25 degrees, what is the height of the taller pole? What is the length of the rope?arrow_forward△ABC has m∠B=25°, AB=3, and BC=4. Which of the following triangles is similar to △ABC? Explain.(1 point) △DEF with m∠E=25°, m∠D=65°, and m∠F=90° is similar to △ABC by the angle-angle (AA) similarity criterion. △DEF with m∠E=25°, m∠D=45°, and m∠F=110° is similar to △ABC by the angle-angle (AA) similarity criterion. △DEF with m∠E=25°, DE=16, and EF=12 is similar to △ABC by the side-angle-side (SAS) similarity criterion. △DEF with m∠E=25°, DE=12, and EF=16 is similar to △ABC by the side-angle-side (SAS) similarity criterion.arrow_forwardI took a snip of the question and really need help!arrow_forward
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