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Byju's Answer
Standard X
Mathematics
SAS Similarity
DE is paralle...
Question
D
E
is parallel to
F
B
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Solution
Consider
△
D
E
A
and
△
B
F
C
,
⇒
A
D
=
B
C
and
A
E
=
F
C
∴
∠
D
A
E
=
∠
B
C
F
...... (Diagonal bisect)
So it is congruent by SAS
∴
D
E
∥
F
B
and
D
E
=
F
B
.... [By CPCT]
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Similar questions
Q.
State true or false:
The alongside figure shows a parallelogram
A
B
C
D
in which
A
E
=
E
F
=
F
C
, then
D
E
is parallel to
F
B
Q.
DE = FB
Q.
In the given figure, ABC is a triangle, DE is parallel to BC and
A
D
D
B
=
3
2
. [4 MARKS]
i) Determine the ratios
A
D
A
B
,
D
E
B
C
ii) Prove that
Δ
D
E
F
is similar to
Δ
C
B
F
. Hence, find
E
F
F
B
iii) What is the ratio of the areas of
Δ
D
E
F
and
Δ
B
F
C
??
Q.
In
Δ
ABC, a line DE is drawn joining the midpoints of AB and BC. Which of the following statements is true?
Q.
In
Δ
A
B
C
, a line DE is drawn joining the midpoints of AB and BC. Which of the following statements is true?
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