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Lelechka [254]
3 years ago
11

60 POINTS PLEASE HELP!!!What is the transformation of A(6, 4) when dilated by a scale factor of ½, using the origin as the cente

r of dilation?

Mathematics
1 answer:
USPshnik [31]3 years ago
4 0

Answer:

  see below

Step-by-step explanation:

Multiply each of the coordinates by the dilation factor:

  A' = (1/2)A = 1/2(6, 4) = (3, 2)

Point A gets transformed to point A'(3, 2), matching choice B.

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Step-by-step explanation:

We have been given an isosceles right triangle

Isosceles triangle is the triangle having two sides equal.

Figure is shown in attachment

By Pythagoras theorem

BC^2=AC^2+AB^2

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On substituting the values in the Pythagoras theorem:

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WE can find area of right triangle by considering height AB and AD

Area of triangle ABC is:

\frac{1}{2}\cdot BC\cdot AD     (1)

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And other method of area of triangle is:

\frac{1}{2}\cdot AB\cdot BC       (2)

Equating (1) and (2) we get:

\frac{1}{2}\cdot 10\cdot AD=\frac{1}{2}\cdot a\cdot a

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Now, the area of triangle ABC=\frac{1}{2}\cdot 5\cdot 10

\Rightarrow 25



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