Question

In the figure, □ABCD is a parallelogram. O is the midpoint of side BC. If DO and AB produced to meet at E , prove that AE = 2AB​

Answer 1

Answer:

AE=2AB

answer for the given problem is given

Step-by-step explanation:

Using Concept:-

• opposite sides are equal in a Parallelogram.
• two Parallel lines are interested by a transversal then alternative interior angles are equal.
• If two lines intersect to ech other then Vertically opposite angles are equal.

Answer 2

Answer:

Answer

Solution :

in the figure

△DCE and BFE

any DEC = any BEF (vertically opp any)

EC=BE (E is the mid point)

∠DCB=∠EBF (alternate angle DC parallel to AF)

So △DCE congruent to △BFE

Therefore DC=BF ...(1)

now CD = AB (ABCD is a parallelogram)

soAF=AB+BF

=AB+DC from (1)

=AB+AB

=2AB