Question

Explain how ABCD is
a traphazeium​

Answer 1

Answer:

as its non-parallel sides add up to 180

Step-by-step explanation:

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Answer 2

Kinds of Quadrilateral

ABCD is a trapezium in whic...

MATHS

ABCD is a trapezium in which AB∣∣DC and its diagonals intersect each other at the point O. Show that BOAO=DOCO.

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VIDEO EXPLANATION



ANSWER

Given:

ABCD is a trapezium and AB∥DC

To Prove: BOAO=DOCO

Construction:

Draw OE∥DC such that E lies on BC.

Proof:

In △BDC,

By Basic Proportionality Theorem,

ODBO=ECBE............(1)

Now, In △ABC,

By Basic Proportionality Theorem,

OCAO=ECBE............(2)

∴ From (1), and (2),

OCAO=ODBO

i.e., BOAO=

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