Answered

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20. Isosceles trapezoid LMNO has vertices L(-4,-3), M(-4,0), N(-2, 1),and O(-2,-4). If the figure is
dilated with the center at the origin and with a scale factor of 1.5, what is the length of L'M' of the
dilated isosceles trapezoid?

Sagot :

Answer:

L’M’ = 4.5 units

Step-by-step explanation:

We start by getting the dilated coordinates

we specifically work with the points LM

The dilated points can be obtained by multiplying the individual coordinates by 1.5

for L (1.5 * -4 and 1.5 * -3) = L’ (-6, -4.5)

M (-4,0) and ; (1.5 * -4 and 0 * 1.5) = M’ (-6,0)

Now, we can use the distance formula

D = √(y2-y1)^2 + (x2-x1)^2

D = √(0+ 4.5)^2 + (-6+6)^2

D = √(4.5)^2

D = 4.5 units

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