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Varvara68 [4.7K]

2 years ago

12

Trapezoid G H J K is rotated about G 90 degrees counterclockwise to form trapezoid G prime H prime J prime K prime. Trapezoid G

prime H prime J prime K prime is reflected across the line of reflection m to form trapezoid G double-prime H double-prime J double-prime K double-prime.
What is the final transformation in the composition of transformations that maps pre-image GHJK to image G"H"J"K"?

a translation to the right
a reflection across line m
a 90° rotation about point G
a 180° rotation about point G

helppp timed !!!

2 answers:

11Alexandr11 [23.1K]2 years ago

6 0

Answer:

The answer is c i just took the test

Step-by-step explanation:

o-na [289]2 years ago

4 0

Answer:

Option C.

Step-by-step explanation:

It is given that Trapezoid GHJK is rotated about G 90 degrees counterclockwise to form trapezoid G'H'J'K'.

First rule of transformation = Rotation 90 degrees counterclockwise about G

= $R(G,90^{\circ})$

Trapezoid G'H'J'K' is reflected across the line of reflection m to form trapezoid G''H''J''K''.

Second rule of transformation = Reflection across m = $r_m(x,y)$

Combination of transformation is known composition of transformation transformation. We apply the transformation from left to right.

The figure GHJK is Rotated 90 degrees counterclockwise about G and then reflected across the line m. So, the composition of transformation is

$r_m(x,y) \circ R(G,90^{\circ})$

The final transformation in the composition of transformations is 90° rotation about point G.

Therefore the correct option is C.

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Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

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