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Mathematics 7 Online
OpenStudy (anonymous):

question!

OpenStudy (anonymous):

OpenStudy (anonymous):

@aum help please!

OpenStudy (aum):

The link shows a blank page.

OpenStudy (anonymous):

hold on a sec

OpenStudy (anonymous):

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OpenStudy (aum):

Find the length of AB. Find the length of A'B' The ratio of the lengths will give the scale factor.

OpenStudy (anonymous):

How would i find the length?

OpenStudy (anonymous):

Subtract them?

OpenStudy (aum):

Use the distance formula. Distance between \((x_1,y_1)\) and \((x_2,y_2)\) is: \(\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\)

OpenStudy (anonymous):

4?

OpenStudy (aum):

A (9,4), B (5, -4) Length of AB = \(\sqrt{(9-5)^2 + (4 - (-4))^2} = \sqrt{4^2+8^2} = \sqrt{16+64} \\ = \sqrt{80} = \sqrt{16 * 5} = 4\sqrt{5} \). Do the same with A'B'

OpenStudy (anonymous):

5 sqrt 2? @aum

OpenStudy (aum):

A' (6,3), B' (3, -3) Length of A'B' = \(\sqrt{(6-3)^2 + (3 - (-3))^2} = \sqrt{3^2+6^2} = \sqrt{9+36} \\ = \sqrt{45} = \sqrt{9 * 5} = 3\sqrt{5}\). Scale factor = Length of the image A'B' / Length of the original AB = \(\Large \frac{3\sqrt{5}}{4\sqrt{5}} = \frac 34\)

OpenStudy (anonymous):

Thank you!

OpenStudy (aum):

You are welcome.

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