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4 years ago

What set of Transformations are applied to parallelogram ABCD to create A'B'C'D'?

Mathematics

1 answer:

bearhunter [10]4 years ago

3 0

Answer: a) reflected over x-axis and reflected over y-axis

<u>Step-by-step explanation:</u>

Reflection over the x-axis changes the sign of the y-coordinate

Z = (x, y) → Z'(x, -y)

Reflection over the y-axis changes the sign of the x-coordinate

Z' = (x, -y) → Z''(-x, -y)

A = (-4, 1) → A'' = (4, -1)

B = (-3, 2) → A'' = (3, -2)

C = (-1, 2) → A'' = (1, -2)

D = (-2, 1) → A'' = (2, -1)

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Step-by-step explanation:

we know that

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Let

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x ----> the area of the smaller triangle in square centimeters

y ----> the area of the larger triangle in square centimeters

we know that

$z=\frac{4}{7}$

$\frac{x}{y}=z^2$

$\frac{x}{y}=(\frac{4}{7})^2$

$\frac{x}{y}=\frac{16}{49}$

$x=\frac{16}{49}y$ -----> equation A

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solve the system by substitution

substitute equation A in equation B

$\frac{16}{49}y+y=65$

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$\frac{65}{49}y=65$

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$x=\frac{16}{49}(49)$

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What set of Transformations are applied to parallelogram ABCD to create A'B'C'D'?​

What set of Transformations are applied to parallelogram ABCD to create A'B'C'D'?