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qaws [65]
2 years ago
11

On a coordinate plane, 2 quadrilaterals are shown. Quadrilateral Q R S T has points (negative 1, 0), (5, 0), (3.5, negative 6) a

nd (negative 2.5, negative 6). Quadrilateral Q prime R prime S prime T prime has points (negative 1, 2), (1, 2), (0.5, 0), and (negative 1.5, 0). Quadrilateral QRST is dilated and translated to form similar figure Q'R'S'T'. What is the scale factor for the dilation?
Mathematics
2 answers:
dimulka [17.4K]2 years ago
5 0

Answer:

\dfrac{1}{3}.

Step-by-step explanation:

In quadrilateral QRST, Q(-1,0), R(5,0), S(3.5,-6), T(-2.5,-6).

In quadrilateral Q'R'S'T', Q'(-1,2), R'(1,2), S'(0.5,0), T'(-1.5,0).

Distance formula:

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula , we get

QR=\sqrt{(5-(-1))^2+(0-0)^2}=\sqrt{6^2}=6

Q'R'=\sqrt{(1-(-1))^2+(2-2)^2}=\sqrt{2^2}=2

Now,  

\text{Scale factor}=\dfrac{Q'R'}{QR}

\text{Scale factor}=\dfrac{2}{6}

\text{Scale factor}=\dfrac{1}{3}

Therefore the scale factor is \dfrac{1}{3}.

Kazeer [188]2 years ago
5 0

Answer:

1/3

Step-by-step explanation:

Correct on edge!

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