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When describing a rotation, which of the following directions is applicable for a rotation?
- Answer: counterclockwise
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Describe the transformation in the diagram (Triangle A B C to Triangle A' B' C').
- Answer: 270° counterclockwise rotation about the origin
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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)
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What is the coordinate of D′ after a 90° (counterclockwise) rotation about the origin?
- Answer: (4,−8)
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What is the coordinate of A′ after a 270° counterclockwise rotation about the origin?
- Answer: (−1,−2)
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
2-90 degrees counterclockwise
4-(8,-4)
5-(1,2)
Thank you for your feedback! Let's clarify the answers based on your corrections:
-
When describing a rotation, which of the following directions is applicable for a rotation?
- Answer: counterclockwise
-
Describe the transformation in the diagram (Triangle A B C to Triangle A' B' C'):
- Correct Answer: 90° counterclockwise rotation about the origin
-
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)
-
What is the coordinate of D′ after a 90° (counterclockwise) rotation about the origin?
- Correct Answer: (8,−4)
-
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.