Rigid Transformations and Dialations

A triangle has vertices at A(2,3), B(5,3), and C(4,6). If the triangle is translated 3 units left and 2 units down, what are the new coordinates of B?

• (4,1)
• (1,3)
• (5,3)
• (2,1)

A rectangle has vertices at P(1,2), Q(4,2), R(4,5), and S(1,5). If the rectangle is translated 2 units right and 3 units up, what are the new coordinates of Q?

• (6,5)

• (4,2)

• (6,2)

• (4,5)

A point is located at D(7,8). If the point is reflected over the x-axis, what are the new coordinates of D?

• (7,-8)

• (-7,8)

• (7,8)

• (-7,-8)

Which of the following best describes rigid transformations?

• Rigid transformations do not maintain the original position of the object.
• Rigid transformations change the size but not the shape.
• Rigid transformations can alter angles and distances.
• Rigid transformations are movements that preserve shape and size.

What does it mean to reflect a figure?

• To reflect a figure means to create a mirror image of it across a line.
• To reflect a figure means to rotate it around a point.
• To reflect a figure means to scale it up or down.
• To reflect a figure means to change its color or texture.

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate -90 degrees around the origin
• Rotate -90 degrees around the origin and then translate down.
• Reflect across the x-axis and then reflect across the y-axis.
• Translate up and then rotate 90 degrees about the origin.

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Which of the following best defines rotating a figure?

• Flipping a figure over a line to create a mirror image.
• Stretching a figure to change its size without altering its shape.
• Rotating a figure means turning it around a fixed point by a certain angle.
• Moving a figure from one location to another without changing its orientation.

What happens when a figure is translated?

• The figure is moved to a new location without altering its size or orientation.

• The figure is rotated around a point.
• The figure is resized to a larger scale.
• The figure is reflected over a line.

What is a scale factor in mathematics?

• A scale factor is a type of geometric shape.
• The ratio that describes how much a figure is enlarged or reduced.

• A scale factor is a measurement of angles in a triangle.
• A scale factor is a formula used to calculate area.

Which statement best describes a dilation?

• A dilation changes the size of a figure but not its shape.
• A dilation reflects a figure across a line.
• A dilation rotates a figure around a point.
• A dilation only changes the shape of a figure.