Question

8. ABCD
E, F, O
CD an
isosceles.
4. The following figure shows a trapezium
ABCD in which AB // DC. P is the mid-point
of AD and PR // AB. Prove that:
1
PR = (AB + CD)
2
a rhon
P
R
А
2​

Answer 1

Please attach the figure....

Answer 2

Answer:

In △, BDC and BQR,

∠B=∠B (Common)

∠BDC=∠BQR (Corresponding angles of parallel lines)

∠BCD=∠BRQ (Corresponding angles of parallel lines)

thus, △BDC∼△BQR

Thus,

QB

BD

=

QR

DC

2=

QR

DC

(Q is the mid point of BD)

QR=

2

1

DC

Similarly, QP=

2

1

AB

Hence, QR+QP=

2

1

(AB+DC)

PR=

2

1

(AB+CD)