△ABC is mapped to △A′B′C′ using the rule (x, y)→(−x, −y) followed by (x, y)→(x, −y) .Which statement correctly describes the relationship between △ABC and △A′B′C′ ?

A. △ABC is congruent to △A′B′C′ because the rules represent a reflection followed by a rotation, which is a sequence of rigid motions.

B. △ABC is congruent to △A′B′C′ because the rules represent a rotation followed by a reflection, which is a sequence of rigid motions.

C. △ABC is not congruent to △A′B′C′ because the rules do not represent a sequence of rigid motions.

D. △ABC is congruent to △A′B′C′ because the rules represent a reflection followed by a reflection, which is a sequence of rigid motions.

Answers

Answer 1

Answer:

Transformation involves changing the position of a shape.

The correct statement is: (b) △ABC is congruent to △A′B′C′ because the rules represent a rotation followed by a reflection, which is a sequence of rigid motions.

The transformation rule is given as:

$\mathbf{(x,y) \to (-x,-y)}$ , then:

$\mathbf{(x,y) \to (x,-y)}$

The first transformation $\mathbf{(x,y) \to (-x,-y)}$ is 180 degrees rotation across the origin
The second transformation $\mathbf{(x,y) \to (x,-y)}$ is a reflection across the x-axis

Rotation and reflection are both rigid transformation.

Hence, the correct option is (b):

Read more about rotation and reflection at:

brainly.com/question/15577335

Answer 2

Answer:

Answer:

B. △ABC is congruent to △A′B′C′ because the rules represent a rotation followed by a reflection, which is a sequence of rigid motions.

Step-by-step explanation:

I just took the test, good luck! Have a wonderful day! :)

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Answers

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Answers

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Answers

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Answers

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Step-by-step explanation:

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Answers

Given :

Stephanie took a science exam that had two parts. Part 1: She got 16 questions correct, which was 4/5 of the number of part 1 questions. Part 2: She got 16 questions correct, which was 2/3 of the number of part 2 questions.

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