ABCD is a parallelogram. P and Q are the mid-points of AB and CD resp. Show that PBCQ is a parallelogram. BEST ANSWER WILL BE MARKED AS BRAINLIEST. WRONG ANSWER WILL BE REPORTED.
Answers
Since AB∥CD [ Opposite sides of ∥
gm
are parallel ]
⇒PB∥QC [ Parts of parallel lines are parallel ]
Also, AB=CD [ Opposite sides of ∥
gm
are equal ]
⇒
2
1
AB=
2
1
CD
⇒PB=QC [ P is the mid point of Ab and Q is the mid point of DC ]
Since PB∥QC and PB=QC
One pair of opposite sides of PBCQ are equal and parallel.
∴PBCQ is a ∥
gm
.
Hence, the answer is solved.
Answer:
ANSWER
Since AB∥CD [ Opposite sides of ∥
gm
are parallel ]
⇒PB∥QC [ Parts of parallel lines are parallel ]
Also, AB=CD [ Opposite sides of ∥
gm
are equal ]
⇒
2
1
AB=
2
1
CD
⇒PB=QC [ P is the mid point of Ab and Q is the mid point of DC ]
Since PB∥QC and PB=QC
One pair of opposite sides of PBCQ are equal and parallel.
∴PBCQ is a ∥
gm
.
Hence, the answer is solved.
Step-by-step explanation: