When describing a rotation, which of the following directions is applicable for a rotation?(1 point)

Responses

down
down

right
right

counterclockwise
counterclockwise

up

Use the image to answer the question.

Two triangles are drawn on a coordinate plane. Triangle A B C is drawn with a solid line and is in quadrant 3. Triangle A prime B prime C prime is drawn with a dotted line and is in quadrant 4.

Describe the transformation in the diagram.

(1 point)
Responses

270° counterclockwise rotation about the origin
270 degrees counterclockwise rotation about the origin

180° counterclockwise rotation about the origin
180 degrees counterclockwise rotation about the origin

90° clockwise rotation about the origin
90 degrees clockwise rotation about the origin

90° counterclockwise rotation about the origin

A segment has endpoints X(−10,0) and Y(−2,6). Consider its image after a 180° (counterclockwise) rotation about the origin. Select the coordinates of Y′.(1 point)
Responses

Y′(−6,2)
upper Y prime left parenthesis negative 6 comma 2 right parenthesis

Y′(6,−2)
upper Y prime left parenthesis 6 comma negative 2 right parenthesis

Y′(−2,−6)
upper Y prime left parenthesis negative 2 comma negative 6 right parenthesis

Y′(2,−6)

Use the image to answer the question.

A quadrilateral is plotted on a coordinate plane with both the axes ranging from negative 10 to 10.

Imagine a 90° (counterclockwise) rotation about the origin of the figure in the image. Select the coordinate of D′.

(1 point)
Responses

(−8,4)
left parenthesis negative 8 comma 4 right parenthesis

(8,−4)
left parenthesis 8 comma negative 4 right parenthesis

(4,−8)
left parenthesis 4 comma negative 8 right parenthesis

(8,4)

Use the image to answer the question.

A quadrilateral is plotted a coordinate plane with both the axes ranging from negative 6 to 6.

Imagine a counterclockwise rotation of 270° about the origin of the figure. Choose the coordinate of A′.

(1 point)
Responses

(2,−1)
left parenthesis 2 comma negative 1 right parenthesis

(−1,−2)
left parenthesis negative 1 comma negative 2 right parenthesis

(1,1)
left parenthesis 1 comma 1 right parenthesis

(1,2)
left parenthesis 1 comma 2 right parenthesis

3 answers

  1. When describing a rotation, which of the following directions is applicable for a rotation?

    • Answer: counterclockwise
  2. Describe the transformation in the diagram (Triangle A B C to Triangle A' B' C').

    • Answer: 270° counterclockwise rotation about the origin
  3. A segment has endpoints X(−10,0) and Y(−2,6). What are the coordinates of Y' after a 180° (counterclockwise) rotation about the origin?

    • Answer: Y′(2,−6)
  4. What is the coordinate of D′ after a 90° (counterclockwise) rotation about the origin?

    • Answer: (4,−8)
  5. What is the coordinate of A′ after a 270° counterclockwise rotation about the origin?

    • Answer: (−1,−2)
2,4,5 are wrong the right answers are
2-90 degrees counterclockwise
4-(8,-4)
5-(1,2)

Thank you for your feedback! Let's clarify the answers based on your corrections:

  1. When describing a rotation, which of the following directions is applicable for a rotation?

    • Answer: counterclockwise
  2. Describe the transformation in the diagram (Triangle A B C to Triangle A' B' C'):

    • Correct Answer: 90° counterclockwise rotation about the origin
  3. A segment has endpoints X(−10,0) and Y(−2,6). What are the coordinates of Y' after a 180° (counterclockwise) rotation about the origin?

    • Answer: Y′(2,−6)
  4. What is the coordinate of D′ after a 90° (counterclockwise) rotation about the origin?

    • Correct Answer: (8,−4)
  5. What is the coordinate of A′ after a 270° counterclockwise rotation about the origin?

    • Correct Answer: (1,2)

I apologize for the mistakes in the previous response, and thank you for pointing them out! If there are any more questions or clarifications needed, feel free to ask.