Complete the proof by choosing the correct reason for each statement. (Answer choices follow #100.) C Given: 21 E 4, CF bisects LACE Prove: ACBF = ACDF A STATEMENT REASON 1. 41 = 4, CF bisects LACE 1. (43.) 21, 22 are supplementary 23, 24 are supplementary 2. 2. (44.) 3. 2 43 3. (45.) 4. LACF = LECF 4. (46.) 5. CF = CF 5. (47.) 6. ACBF = ACDF 6. (48.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 30E
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I need help with those given questions. The second image is the possible answers for those given problems. Thank you very much.
Answer choices 34-52:
A) Given
B) Substitution /Transitive Property of Equality
C) Definition of Right Triangle
D) Definition of Midpoint
E) Definition of Angle Bisector
AB) Definition of Perpendicular Lines
AC) Right Angle Congruence Theorem
AD) Reflexive Property of Congruence
AE) Congruent Supplements Theorem
BC) Vertical Angles Congruence Theorem
BD) Alternate Interior Angles Theorem
BE) Linear Pair Postulate
CD) SSS Congruence Postulate
CE) SAS Congruence Postulate
DE) ASA Congruence Postulate
ABC) AAS Congruence Theorem
ABD) HL Congruence Theorem
Transcribed Image Text:Answer choices 34-52: A) Given B) Substitution /Transitive Property of Equality C) Definition of Right Triangle D) Definition of Midpoint E) Definition of Angle Bisector AB) Definition of Perpendicular Lines AC) Right Angle Congruence Theorem AD) Reflexive Property of Congruence AE) Congruent Supplements Theorem BC) Vertical Angles Congruence Theorem BD) Alternate Interior Angles Theorem BE) Linear Pair Postulate CD) SSS Congruence Postulate CE) SAS Congruence Postulate DE) ASA Congruence Postulate ABC) AAS Congruence Theorem ABD) HL Congruence Theorem
Complete the proof by choosing the correct reason for each statement. (Answer choices
follow #100.)
C
Given: 21 E 4, CF bisects LACE
Prove: ACBF = ACDF
1
4.
A.
STATEMENT
REASON
1. 21 = 4, CF bisects LACE
1.
(43.)
2. 41, 2 are supplementary
23, 24 are supplementary
2.
(44.)
3. 22 23
3.
(45.)
4. LACF = ZECF
4.
(46.)
5. CF = CF
5.
(47.)
6. ACBF = ACDF
6.
(48.)
Transcribed Image Text:Complete the proof by choosing the correct reason for each statement. (Answer choices follow #100.) C Given: 21 E 4, CF bisects LACE Prove: ACBF = ACDF 1 4. A. STATEMENT REASON 1. 21 = 4, CF bisects LACE 1. (43.) 2. 41, 2 are supplementary 23, 24 are supplementary 2. (44.) 3. 22 23 3. (45.) 4. LACF = ZECF 4. (46.) 5. CF = CF 5. (47.) 6. ACBF = ACDF 6. (48.)
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