Students were asked over to answer a question at education and to claim what is most important for them to succeed. From the numerous reactions, one that that stood out was practice. Successful people ordinarily are not born successful; they become successful by hard work and dedication. This is how you can reach your goals. the following are one of the answer and question example that you could simply use to practice and supercharge your information and also give you insights that might guide you to preserve your study in school.

## Question:

Proving the Parallelogram Diagonal TheoremGiven ABCD is a parralelogam, Diagnals AC and BD intersect at EProve AE is conruent to CE and BE is congruent to DE

## Answer:

**Answer:**

The proof is given below.

**Step-by-step explanation:**

Given a parallelogram ABCD. Diagonals AC and BD intersect at E. We have to prove that AE is congruent to CE and BE is congruent to DE i.e diagonals of parallelogram bisect each other.

In **ΔACD and ΔBEC**

AD=BC (∵Opposite sides of parallelogram are equal)

∠DAC=∠BCE (∵Alternate angles)

∠ADC=∠CBE (∵Alternate angles)

**By ASA rule, ΔACD≅ΔBEC**

**By CPCT**(Corresponding Parts of Congruent triangles)

AE=EC and DE=EB

Hence,** AE is conruent to CE and BE is congruent to DE**

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