Transformations

What is the definition of 'Transformations' in geometry?

• A change in the position, size, or shape of a figure

• A type of angle measurement

• A method for calculating area

• A property of parallel lines

Answer explanation

In geometry, 'Transformations' refer to changes in the position, size, or shape of a figure. This includes operations like translation, rotation, reflection, and dilation, making the first choice the correct definition.

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CCSS.HSG.CO.A.2

Which of the following is a characteristic of 'Transformations'?

• Changing the color of a shape

• Rotating, sliding, or reflecting the image

• Increasing the size of a shape

• Changing the material of a shape

Answer explanation

The correct choice, 'Rotating, sliding, or reflecting the image', describes transformations, which involve changing the position or orientation of a shape without altering its size or color.

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What is a non-example of a transformation?

• Translation

• Rotation

• Reflection

• Expanding

Answer explanation

Expanding is not a transformation like translation, rotation, or reflection, which all involve changing the position or orientation of a shape without altering its size. Expanding changes the size, making it a non-example.

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What is the definition of rotation?

• The definition of rotation is the act of turning around a center or an axis.

• The definition of rotation is moving in a straight line.

• The definition of rotation is staying still.

• The definition of rotation is expanding in size.

Answer explanation

The correct definition of rotation is the act of turning around a center or an axis, distinguishing it from other movements like linear motion, stillness, or expansion.

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Which of the following is a characteristic of rotation?

• Linear Movement

• Circular Movement

• Random Movement

Answer explanation

Rotation is characterized by circular movement, as it involves an object turning around a central point or axis. Linear movement refers to straight paths, while random movement lacks a defined direction.

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Give an example of rotation.

• A spinning top

• A sliding door

• A bouncing ball

• Painting a wall

Answer explanation

A spinning top is a clear example of rotation as it spins around its axis. In contrast, a sliding door moves linearly, a bouncing ball moves up and down, and painting a wall involves no rotational movement.

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True or False: The point of rotation can be outside of the shape.

• True

• False

Answer explanation

True. The point of rotation can indeed be outside the shape. For example, when rotating a circle around a point outside of it, the entire shape will still rotate around that external point.

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What is a reflection?

• A mirror image of figure

• A rotation of a figure

• Sliding a figure

• Enlarging a figure.

Answer explanation

A reflection is a transformation that creates a mirror image of a figure across a line, known as the line of reflection. This is why 'A mirror image of figure' is the correct choice.

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Which of the following is a characteristic of reflections?

• Reflections change the size of the original shape.

• Reflections have the same size as the original shape.

• Reflections rotate the shape.

Answer explanation

Reflections maintain the same size and shape as the original figure, only changing its position. Therefore, the correct choice is that reflections have the same size as the original shape.

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What is the definition of translations in geometry?

• A transformation that slides each point of a figure the same distance in the same direction.

• A transformation that rotates a figure around a point.

• A transformation that reflects a figure over a line.

• A transformation that enlarges or reduces a figure.

Answer explanation

Translations in geometry refer to a transformation that slides each point of a figure the same distance in the same direction, making the correct choice the first option.

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