Question

In the given figure ABCD and ABEF are parallelogram. If 0 is the mid point of BC, show that : DC = CF = FE​

Answer 1

Answer:

Step-by-step explanation:

As per the question,

Given That:

figure ABCD and ABEF are parallelogram

0 is the mid point of BC

To show That:

DC = CF = FE​

Solution:

The fact that CD is equal to these two indicates that it is also equivalent to CF. Additionally, take into account the triangle triangle ABC and triangle ABC if angle A and angle C it shows that these two are congruent and the sides are equal we can take into account here these two sides are supplied. Given that the midpoint of the string and the midpoint of BC are vertically opposed angles, these two angles are equal because they are also vertically opposite angles.

Angle B and CD are vertically opposing angles that are equivalent to angle A.

in ABCD & ABEF

AB=CD

AB=EF

SO, CD=EF

in ΔABO & ΔCFO

BO=CO

∠AOB=∠COF (V.O.A)

Since AB║CF

∠ABO = ∠OCF (Alternative angles)

therefore, ΔABO ≅ ΔCFO

therefore, AB = CF

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