Directions: Write the missing statements or reasons for the following proofs. Mark the diagram to support your answer. 1. Given: ZB = ZD and DC || AB Prove: AABC = ACDA B D Statements Reasons 1. ZB = ZD 2. DC || AB 1. 2. 3. ZBAC = ZACD 3. 4. AC = AC |5. ДАВС ДСDA 4. 5.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 12E: In Exercise 11 and 12, provide the missing statements and reasons. Given: 12;34 s 2 and 3 are...
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Directions: Write the missing statements or reasons for the following proofs. Mark the diagram to
support your answer.
1. Given: ZB = ZD and DC || AB
Prove: AABC = ACDA
B
D
Statements
Reasons
1. ZB = ZD
2. DC || AB
1.
2.
3. ZBAC = ZACD
3.
4. AC = AC
5. AABC = ACDA
4.
5.
2. Given: Jis the midpoint of FG and ZF = ZG
Prove: ΔFH ΔG
F
I
J
H
G
Statements
Reasons
1. Given
2. Definition of Midpoint
3. Given
4. Vertical Angles Theorem
5. ASA
1.
2.
3.
4.
5.
Transcribed Image Text:Directions: Write the missing statements or reasons for the following proofs. Mark the diagram to support your answer. 1. Given: ZB = ZD and DC || AB Prove: AABC = ACDA B D Statements Reasons 1. ZB = ZD 2. DC || AB 1. 2. 3. ZBAC = ZACD 3. 4. AC = AC 5. AABC = ACDA 4. 5. 2. Given: Jis the midpoint of FG and ZF = ZG Prove: ΔFH ΔG F I J H G Statements Reasons 1. Given 2. Definition of Midpoint 3. Given 4. Vertical Angles Theorem 5. ASA 1. 2. 3. 4. 5.
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