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saul85 [17]
3 years ago
5

Given the following coordinates complete the reflection transformation. A(1,−5) B(2,−2) C(5,−2) Transformation: Complete the dou

ble reflection over the lines y=−1 followed by y=1. A"( , ) B"( , ) C"( , )
Mathematics
1 answer:
Dmitriy789 [7]3 years ago
7 0

Answer:

A''(1,-1) B''(2,2) C''(5,2)

Step-by-step explanation:

Points A(1,−5) B(2,−2) C(5,−2)

reflection over y=-1

Perpendicular distance between points y-coordinates of points (A, B and C) and y=-1 are 4,1 and 1

after reflections, the perpendicular distance will be 8,2,2 and the points will be at

A'(1,3) B'(2,0) C'(5,0)

again  reflection over y=1

Perpendicular distance between points y-coordinates of points (A', B' and C') and y=1 are 2,1 and 1

after reflections, the perpendicular distance will be 4,2,2 and the points will be at

A''(1,-1) B''(2,2) C''(5,2)!

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\bf \cfrac{4\sqrt{150}}{\sqrt{189x}}\cdot \cfrac{\sqrt{189x}}{\sqrt{189x}}\implies \cfrac{4\sqrt{150}\sqrt{189x}}{(\sqrt{189x})^2}\implies \cfrac{4\sqrt{(150)({189x})}}{189x}

\bf \cfrac{4\sqrt{28350x}}{189x}\qquad 
\begin{cases}
28350=2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5\cdot 5\cdot 7\\
\qquad 2\cdot 3^2\cdot 3^2\cdot 5^2\cdot 7\\
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