Question

In the figure ABCD is a parallelogram ,E is mid-point of BC,prove that:
(i) AB=BL
(ii)Al=2DC​

Answer 1

Answer:

Given :---- ABCD is a parallelogram

• AB ll CD
• AB= CD

CE=BE

To prove :----

1. AB = BL
2. AL=2DC

Proof :---

1. In ∆DCE & ∆ BEL

angle DEC= angle BEL (vertically opposite angles)

angle CDE= angle ELB ( alternate angles)

CE=BE (given)

therefore,

∆DCE congruent to ∆BEL ( by AAS criteria)

therefore , DC=BL ( CPCT)

AB=DC ( opposite sides of parellelogram)

therefore,

AB=BL

2. AL= AB + BL

BL= DC

AB=DC

AL= DC+ DC

therefore,

AL=2DC

Answer 2

Answer:

He right bro

Step-by-step explanation:

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