Question
Line segment CD is shown on a coordinate grid:
A coordinate plane is shown. Line segment CD has endpoints 1 comma 2 and 1 comma negative 1.
The line segment is reflected about the y-axis to form C′D′. Which statement describes C′D′? (4 points)
C′D′ is perpendicular to CD.
C′D′ is half the length of CD.
C′D′ is greater than twice the length of CD.
C′D′ and CD are equal in length.
A coordinate plane is shown. Line segment CD has endpoints 1 comma 2 and 1 comma negative 1.
The line segment is reflected about the y-axis to form C′D′. Which statement describes C′D′? (4 points)
C′D′ is perpendicular to CD.
C′D′ is half the length of CD.
C′D′ is greater than twice the length of CD.
C′D′ and CD are equal in length.
Answers
GPT 3.5
C′D′ is equal in length to CD.
Line segment EF is shown on a coordinate grid:
A coordinate plane is shown. Line segment EF has endpoints negative 3 comma 2 and negative 1 comma 2.
The line segment is rotated 180 degrees counterclockwise about the origin to form E′F′. Which statement describes E′F′? (4 points)
E′F′ is perpendicular to EF.
E′F′ and EF are equal in length.
E′F′ is half the length of EF.
E′F′ is greater than twice the length of EF.
A coordinate plane is shown. Line segment EF has endpoints negative 3 comma 2 and negative 1 comma 2.
The line segment is rotated 180 degrees counterclockwise about the origin to form E′F′. Which statement describes E′F′? (4 points)
E′F′ is perpendicular to EF.
E′F′ and EF are equal in length.
E′F′ is half the length of EF.
E′F′ is greater than twice the length of EF.
GPT 3.5
E′F′ and EF are equal in length.
A shape is shown on the graph:
A coordinate plane is shown. Triangle ABC has vertices 3 comma 0, 3 comma negative 3, and 1 comma negative 3.
Which of the following is a reflection of the shape? (4 points)
A coordinate plane is shown. A triangle has vertices 3 comma 0, 1 comma 0, and 3 comma 3.
A coordinate plane is shown. A triangle has vertices 2 comma 4, 2 comma 1 and 4 comma 4.
A coordinate plane is shown. A triangle has vertices negative 1 comma 0, negative 1 comma negative 3, and negative 3 comma negative 3.
A coordinate plane is shown. A triangle has vertices at negative 3 comma 0, negative 3 comma negative 3, and negative 1 comma negative 3.
A coordinate plane is shown. Triangle ABC has vertices 3 comma 0, 3 comma negative 3, and 1 comma negative 3.
Which of the following is a reflection of the shape? (4 points)
A coordinate plane is shown. A triangle has vertices 3 comma 0, 1 comma 0, and 3 comma 3.
A coordinate plane is shown. A triangle has vertices 2 comma 4, 2 comma 1 and 4 comma 4.
A coordinate plane is shown. A triangle has vertices negative 1 comma 0, negative 1 comma negative 3, and negative 3 comma negative 3.
A coordinate plane is shown. A triangle has vertices at negative 3 comma 0, negative 3 comma negative 3, and negative 1 comma negative 3.
GPT 3.5
The reflection of Triangle ABC would have vertices at 3, 0, 3, 3, and 1, 3.
Therefore, the option "A coordinate plane is shown. A triangle has vertices 3, 0, 1, 0, and 3, 3" is the reflection of the shape.
Therefore, the option "A coordinate plane is shown. A triangle has vertices 3, 0, 1, 0, and 3, 3" is the reflection of the shape.
A rotation is shown in the drawing:
A green dart-shaped figure is shown, labeled Figure X. A curved dotted line shows the rotation around to the left to create a blue dart-shaped figure labeled Figure X prime. The new image is directly to the right of the original.
Which statement best describes the rotation? (4 points)
Clockwise 90-degree rotation
Clockwise 270-degree rotation
Counterclockwise 90-degree rotation
Counterclockwise 270-degree rotation
A green dart-shaped figure is shown, labeled Figure X. A curved dotted line shows the rotation around to the left to create a blue dart-shaped figure labeled Figure X prime. The new image is directly to the right of the original.
Which statement best describes the rotation? (4 points)
Clockwise 90-degree rotation
Clockwise 270-degree rotation
Counterclockwise 90-degree rotation
Counterclockwise 270-degree rotation
GPT 3.5
Based on the given information, the rotation described is a counterclockwise 90-degree rotation.
Angle X measures 110 degrees. If angle X is rotated 60 degrees, what is the measure of angle X′? (4 points)
0 degree
60 degrees
110 degrees
170 degrees
0 degree
60 degrees
110 degrees
170 degrees
GPT 3.5
If angle X is rotated 60 degrees, the measure of angle X′ will be 110 degrees + 60 degrees = 170 degrees.
Therefore, the correct answer is 170 degrees.
Therefore, the correct answer is 170 degrees.
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