True or false: A rotation is a type of transformation in which each point of a pre-image is moved along a circular path centered at a given center of rotation O.(1 point)
Responses
This statement is false. A rotation is a line over which each point in a figure is reflected.
This statement is false. A rotation is a type of transformation in which every point of an object moves the same distance in the same direction.
This statement is false. A rotation is a type of transformation in which every point of an object is moved to a point on the other side of a given line and the same distance from the line.
This statement is true.
A rotation is a type of transformation in which each point of a pre-image is moved along a circular path centered at a given center of rotation O.
What is the answwer
The statement is true.
How many degrees is a half-circle rotation?(1 point)
Responses
360°
90°
0°
180°
A half-circle rotation is 180°.
A point is rotated 205°
counterclockwise. What is the equivalent clockwise rotation?(1 point)
Responses
385°
155°
−155°
25°
A counterclockwise rotation of 205° is equivalent to a clockwise rotation of 155°.
To understand why it's equivalent, consider that a full circle is 360°. So a counterclockwise rotation of 205° can be thought of as rotating 205° counterclockwise or 360° - 205° = 155° clockwise.
A rhombus is rotated 60°
. What is the resulting shape?(1 point)
Responses
a nonsquare rectangle
a trapezoid
a rhombus
a nonrhombus parallelogram
A rhombus, when rotated 60°, results in a rhombus. The sides and angles remain the same in a rotation.
True or false: A map is the center of the circular path that pre-image points take during a rotation.(1 point)
Responses
This statement is true.
This statement is false. A map is a function that takes a point as an input and produces a point as an output.
This statement is false. A map is an original figure before a transformation is applied.
This statement is false. A map is an action that changes a geometric object to produce a new geometric object.
This statement is false. A center of rotation is the center of the circular path that pre-image points take during a rotation, but a map is a function that takes a point as an input and produces a point as an output.
What answer
The statement is false.
Why is it false
The statement says that "A map is the center of the circular path that pre-image points take during a rotation" which is incorrect.
A map is a mathematical function that takes a point in one plane and maps it to a point in another plane using a transformation such as rotation, translation, reflection, or dilation. It does not refer to the center of rotation or any physical object.