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Mathematics
Mathematics
Problem
ABCD is a quadrilateral in which
A
B
=
C
D
AB = CD
A
B
=
C
D
and
A
B
∥
C
D
AB \parallel CD
A
B
∥
C
D
. a. (i) Prove that
A
B
C
D
ABCD
A
B
C
D
is a parallelogram. b. (ii) If
∠
A
=
70
∘
\angle A = 70^{\circ}
∠
A
=
7
0
∘
, find the measure of
∠
C
\angle C
∠
C
. c. (iii) Prove that the diagonals
A
C
AC
A
C
and
B
D
BD
B
D
bisect each other.
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