Prove: AABC is an isosceles triangle. Step 1 2 3 4 LO 5 6 7 Statement D is the midpoint of AC ED FD ZFDA ZEDF LEDF ZEDC LEDA LFDC AD DC AADE ACDF Type of Statement AABC is an isosceles triangle A E B D Reason Given Reflexive Property Congruent angles subtracted from congruent angles form congruent angles A midpoint divides a segment into two congruent segments SAS The triangle has two congruent angles F Note: AB, BC and AC are segments. C
Prove: AABC is an isosceles triangle. Step 1 2 3 4 LO 5 6 7 Statement D is the midpoint of AC ED FD ZFDA ZEDF LEDF ZEDC LEDA LFDC AD DC AADE ACDF Type of Statement AABC is an isosceles triangle A E B D Reason Given Reflexive Property Congruent angles subtracted from congruent angles form congruent angles A midpoint divides a segment into two congruent segments SAS The triangle has two congruent angles F Note: AB, BC and AC are segments. C
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
Find the missing Statement and reason
![7:04 PM Wed Dec 7
Prove: AABC is an isosceles triangle.
Step
1
2
3
5
6
7
Statement
D is the midpoint of AC
ED FD
LFDA ZEDC
deltamath.com - Private
ZEDF ZEDF
ZEDA~ ZFDC
AD DC
ΔADE ~ ΔCDF
Type of Statement
AABC is an isosceles triangle
A
E
B
D
Reason
Given
Reflexive Property
Congruent angles subtracted from congruent
angles form congruent angles
A midpoint divides a segment into two
congruent segments
SAS
The triangle has two congruent angles
F
Note: AB, BC and AC are segments.
C
You must answer all questions above in order to submit.
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Transcribed Image Text:7:04 PM Wed Dec 7
Prove: AABC is an isosceles triangle.
Step
1
2
3
5
6
7
Statement
D is the midpoint of AC
ED FD
LFDA ZEDC
deltamath.com - Private
ZEDF ZEDF
ZEDA~ ZFDC
AD DC
ΔADE ~ ΔCDF
Type of Statement
AABC is an isosceles triangle
A
E
B
D
Reason
Given
Reflexive Property
Congruent angles subtracted from congruent
angles form congruent angles
A midpoint divides a segment into two
congruent segments
SAS
The triangle has two congruent angles
F
Note: AB, BC and AC are segments.
C
You must answer all questions above in order to submit.
83%
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