GEOM FY24 B Geometric Transformations

What is a translation in geometry?

• A translation in geometry is a transformation that rotates every point of a figure.

• A translation in geometry is a transformation that changes the size of a figure.

• A translation in geometry is a transformation that reflects every point of a figure.

• A translation in geometry is a transformation that moves every point of a figure the same distance in the same direction.

Which of the following transformations does not change the shape or size of a figure?

• Rotation

• Reflection

• Dilation

• Translation

What is the result of reflecting a figure over the x-axis?

• The result of reflecting a figure over the x-axis is a horizontally flipped figure.

• The result of reflecting a figure over the x-axis is a rotated figure.

• The result of reflecting a figure over the x-axis is a scaled figure.

• The result of reflecting a figure over the x-axis is a vertically flipped figure.

What is the result of rotating a figure 90 degrees counterclockwise?

• The result of rotating a figure 90 degrees counterclockwise is a figure that is turned to the right by 90 degrees.

• The result of rotating a figure 90 degrees counterclockwise is a figure that is flipped horizontally.

• The result of rotating a figure 90 degrees counterclockwise is a figure that is flipped vertically.

• The result of rotating a figure 90 degrees counterclockwise is a figure that is turned to the left by 90 degrees.

What is the result of dilating a figure with a scale factor of 2?

• The result of dilating a figure with a scale factor of 2 is a reduced figure that is half the size of the original figure.

• The result of dilating a figure with a scale factor of 2 is a figure that is the same size as the original figure.

• The result of dilating a figure with a scale factor of 2 is an enlarged figure that is twice as big as the original figure.

• The result of dilating a figure with a scale factor of 2 is a distorted figure that is not proportional to the original figure.

Which transformation preserves both shape and size of a figure?

• reflection

• dilation

• rotation

• translation

What is the result of reflecting a figure over the y-axis?

• The result of reflecting a figure over the y-axis is a vertically flipped figure.

• The result of reflecting a figure over the y-axis is a rotated figure.

• The result of reflecting a figure over the y-axis is a scaled figure.

• The result of reflecting a figure over the y-axis is a horizontally flipped figure.

What is the result of rotating a figure 180 degrees?

• Inside out

• Backwards

• Sideways

• Upside down

What is the result of dilating a figure with a scale factor of 0.5?

• The result of dilating a figure with a scale factor of 0.5 is that each side of the figure remains the same length.

• The result of dilating a figure with a scale factor of 0.5 is that each side of the figure is increased by 0.5 times its original length.

• The result of dilating a figure with a scale factor of 0.5 is that each side of the figure is reduced to half of its original length.

• The result of dilating a figure with a scale factor of 0.5 is that each side of the figure is doubled in length.

Which transformation changes the size of a figure without changing its shape?

• translation

• reflection

• dilation

• rotation