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vovangra [49]
3 years ago
7

Geometry// question #8

Mathematics
1 answer:
MAVERICK [17]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

The translation rule

(x, y ) → (x + 3, y - 2 )

Means add 3 to the original x- coordinate and subtract 2 from the original y- coordinate, thus

A(- 4, 1 ) → A'(- 4 + 3, 1 - 2 ) → A'(- 1, - 1 )

B(1, 1 ) → B'(1 + 3, 1 - 2 ) → B'(4, - 1 )

C(1, - 2 ) → C'(1 + 3, - 2 - 2 ) → C'(4, - 4 )

D(- 4, - 2 ) → D'(- 4 + 3, - 2 - 2 ) → D'(- 1, - 4 )

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\longmapstoThe value of "x" is 5.

\large\underline{\sf{Solution-}}

Given that,

A trapezium ABCD in which AB || CD such that

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\rm In \: \triangle  \: AOB  \: and \: \triangle \:  COD

\rm  \: \angle  \: AOB  \: and \: \angle \:  COD \:  \:  \{vertically \: opposite \: angles \}

\rm  \: \angle  \:ABO  \: and \: \angle \:  CDO \:  \:  \{alternate \: interior \: angles \}

\bf \: \triangle  \: AOB \:  \sim \:  \triangle  \: COD \:  \:  \:  \{AA \: similarity \}

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\rm \longmapsto\: {x}^{2} - x + 4x - 4 =  {x}^{2} + 1 + 2x

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