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Is congruent to with correspondence
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
△
A
B
C
\triangle ABC
△
A
B
C
is congruent to
△
D
E
F
\triangle DEF
△
D
E
F
with correspondence
A
B
↔
D
E
AB \leftrightarrow DE
A
B
↔
D
E
,
B
C
↔
E
F
BC \leftrightarrow EF
B
C
↔
E
F
and
A
C
↔
D
F
AC \leftrightarrow DF
A
C
↔
D
F
. In addition,
△
D
E
F
\triangle DEF
△
D
E
F
is congruent to
△
P
Q
R
\triangle PQR
△
P
QR
with correspondence
D
E
↔
P
Q
DE \leftrightarrow PQ
D
E
↔
P
Q
,
E
F
↔
Q
R
EF \leftrightarrow QR
E
F
↔
QR
and
D
F
↔
P
R
DF \leftrightarrow PR
D
F
↔
P
R
. If
A
B
=
5
cm
AB = 5\text{ cm}
A
B
=
5
cm
,
B
C
=
7
cm
BC = 7\text{ cm}
B
C
=
7
cm
and
A
C
=
9
cm
AC = 9\text{ cm}
A
C
=
9
cm
, find the length of
P
R
PR
P
R
. (a)
12
cm
12\text{ cm}
12
cm
(b)
5
cm
5\text{ cm}
5
cm
(c)
9
cm
9\text{ cm}
9
cm
(d)
6
cm
6\text{ cm}
6
cm
Related theory
Triangle Congruence
Congruence of triangles
Triangles
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