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14.07.2020 •
Mathematics
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Statements
Reasons
A
DE || AB
Given
CDES
E
B
CED
Given: DE || AB
Prove: AABC-
ДАВС N
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Ответ:
ΔABC ~ ΔDEC
Step-by-step explanation:
Given : DE║AB
Statements Reasons
1). DE║AB 1). Given
2). ∠CDE ≅ ∠CAB 2). Corresponding angles
[Since DE║AB and AC is the transverse]
3). ∠CED ≅ ∠CBA 3). Corresponding angles
[Since DE║AB and BC is the transverse]
4). ΔABC ~ ΔDEC 4). By AA property of similarity
Hence ΔABC is similar to ΔDEC.
Ответ:
Step-by-step explanation:
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