Fill in the missing statement and reason of the proof below. Given: D is the midpoint of AC, ED FD and LADE LCDF. Prove: EB = FB. Step Statement Reason Dis the midpoint of AC ED FD 1 Given ZADE LCDF AD DC A midpoint divides a segment into two congruent segments 2 3 AADE = ACDF SAS 4 Type of Statement Corresponding Parts of Congruent Triangles are Congruent (CPCTC) ZA ZC 6. AB CB In a triangle, sides opposite of congruent angles are congruent Congruent segments subtracted from congruent segments form EB스 FE congruent segments B E F A D Note: AB, BC and AC are segments.
Fill in the missing statement and reason of the proof below. Given: D is the midpoint of AC, ED FD and LADE LCDF. Prove: EB = FB. Step Statement Reason Dis the midpoint of AC ED FD 1 Given ZADE LCDF AD DC A midpoint divides a segment into two congruent segments 2 3 AADE = ACDF SAS 4 Type of Statement Corresponding Parts of Congruent Triangles are Congruent (CPCTC) ZA ZC 6. AB CB In a triangle, sides opposite of congruent angles are congruent Congruent segments subtracted from congruent segments form EB스 FE congruent segments B E F A D Note: AB, BC and AC are segments.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section: Chapter Questions
Problem 4CST
Related questions
Question
![Fill in the missing statement and reason of the proof below.
Given: D is the midpoint of AC, ED FD and LADE LCDF.
Prove: EB = FB.
Step
Statement
Reason
Dis the midpoint of AC
ED FD
1
Given
ZADE ZCDF
AD DC
A midpoint divides a segment into two congruent segments
2
3
AADE = ACDF
SAS
4
Type of Statement
Corresponding Parts of Congruent Triangles are Congruent
(CPCTC)
ZA LC
6
AB CB
In a triangle, sides opposite of congruent angles are congruent
Congruent segments subtracted from congruent segments form
EB FB
congruent segments
B
E
F
A
D
Note: AB, BC and AC are segments.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7fd673a9-4677-4d85-ad1f-dcb2019c0d49%2Fc8d7eb1f-cd7a-470e-b8b0-4064fee7402e%2Fje7t5mm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Fill in the missing statement and reason of the proof below.
Given: D is the midpoint of AC, ED FD and LADE LCDF.
Prove: EB = FB.
Step
Statement
Reason
Dis the midpoint of AC
ED FD
1
Given
ZADE ZCDF
AD DC
A midpoint divides a segment into two congruent segments
2
3
AADE = ACDF
SAS
4
Type of Statement
Corresponding Parts of Congruent Triangles are Congruent
(CPCTC)
ZA LC
6
AB CB
In a triangle, sides opposite of congruent angles are congruent
Congruent segments subtracted from congruent segments form
EB FB
congruent segments
B
E
F
A
D
Note: AB, BC and AC are segments.
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