janyiareese12

19.07.2019 • 

Mathematics

Arhombus with vertices p(2, 8), q(3, 11), r(4, 8), and s(3, 5) is rotated 90° counterclockwise about the origin and then dilated by a factor of 2 with the origin as the center of dilation to obtain rhombus p′q′r′s′. which statement about the transformed rhombus p′q′r′s′ is true? the function f(x, y) = (2y, -2x) models the transformation to obtain rhombus p′q′r′s′, which lies in the second quadrant. the function f(x, y) = (-2y, 2x) models the transformation to obtain rhombus p′q′r′s′, which lies in the fourth quadrant. the function f(x, y) = (-2y, 2x) models the transformation to obtain rhombus p′q′r′s′, which lies in the second quadrant. the function f(x, y) = (2y, -2x) models the transformation to obtain rhombus p′q′r′s′, which lies in the fourth quadrant.

Ответ:

Dweath50

01.06.2020

Mathematics

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The general rule for 90° degree counterclockwise rotation for a point (x,y) is:
(x,y)⇒(-y,x)
given that the image above is dilated by a scale factor of two, the final image will be:
2(-y,x)⇒(-2y,2x)
The new point lies in Quadrant IV

Thus the true statement about rhombus PQRS after undergoing 90° counter clockwise rotation followed by dilation of scale factor 2 is:

The function f(x, y) = (-2y, 2x) models the transformation to obtain rhombus P′Q′R′S′, which lies in the fourth quadrant, that is: IV Quadrant

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Ответ:

sa9334

18.04.2021

Mathematics

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The slope would be 3

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