Question 1

Question

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

up
up

down
down

counterclockwise
counterclockwise

right
right
Question 2
A)
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

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

90° counterclockwise rotation about the origin
90 degrees counterclockwise rotation about the origin

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
Question 3
A)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′(−2,−6)
upper Y prime left parenthesis negative 2 comma negative 6 right parenthesis

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

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

Y′(−6,2)
upper Y prime left parenthesis negative 6 comma 2 right parenthesis
Question 4
A)
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 4 right parenthesis

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

(4,−8)
left parenthesis 4 comma negative 8 right parenthesis
Question 5
A)
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

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

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

(1,1)

Answer 1

Here are the answers to the questions based on the transformations described:

Question 1

• Response: counterclockwise

Question 2

• Response: 90° clockwise rotation about the origin

Question 3 Given the endpoints of segment XY: X(−10,0) and Y(−2,6), rotating point Y (−2, 6) by 180° counterclockwise about the origin gives us Y′(2,-6).

• Response: Y′(2,−6)

Question 4 To find the new coordinates of point D after a 90° counterclockwise rotation about the origin, we can transform (x, y) to (-y, x). Assuming the original coordinates of D are (x, y), the answer depends on the values provided or the coordinates visible in the image.

• Response: You would choose depending on what the coordinates of D are before rotation.

Question 5 Again, to find the new coordinates of point A after a 270° counterclockwise rotation (which is equivalent to a 90° clockwise rotation), we would transform the coordinates accordingly. The specific choice will depend on the coordinates of A visible in the image.

• Response: Choose based on the image; without its specific point A selected in the question, I cannot provide the exact coordinate.

If you can provide more specifics about the images or any additional information, I can help narrow down the responses for questions 4 and 5.