Question

ABCD is a parallelogram. If P, Q are points on the diagonal BD such that BP = PQ, prove that APCQ is parallelogram
I want it with explanation if you give me explanation I will mark you as brainliest
do it fast please ​

Answer 1

Answer:

Given: In parallelogram ABCD, two points P and Q are taken on diagonal BD such that

.

To prove: APCQ is a parallelogram

Proof :

In

DP=BQ (Given )

ADP=

CBQ (alternate angles)

AD=BC (opposite sides of a parallelogram)

(By SAS)

(CPCT)...............................................................1

Also,

In

DP=BQ (Given )

ABQ=

CDP (alternate angles)

AB=CD (opposite sides of a parallelogram)

(By SAS)

(CPCT)........................................2

From equation 1 and 2, we get

Thus, opposite sides of quadrilateral APCQ are equal so APCQ is a parallelogram.

Answer 2

Step-by-step explanation:

$\bf\huge{Question:-}$

ABCD is a parallelogram. If P, Q are points on the diagonal BD such that BP = PQ, prove that APCQ is parallelogram

I want it with explanation if you give me explanation I will mark you as brainliest

do it fast please

$\bf\huge{answer:-}$