4.4 Transformations

• What is a transformation in geometry?

  Changes to position or size
• What does a rotation do to a geometric figure?

  Turns it around a point
• Match the transformation with its definition:

  Translation ↔️ Moves a shape without changing its size or orientation

  Rotation ↔️ Turns a shape around a fixed point

  Reflection ↔️ Flips a shape over a line

  Enlargement ↔️ Changes the size of a shape
• Reflections change the size and shape of a figure.

  False
• A translation moves a figure without changing its size or orientation
• An enlargement changes the size of a figure.
• What is the center of rotation in a rotation transformation?

  A fixed point
• Order the transformations by their effect on a shape:

  1️⃣ Translation: Moves the shape without changing its size or orientation

  2️⃣ Rotation: Turns the shape around a fixed point

  3️⃣ Reflection: Flips the shape over a line

  4️⃣ Enlargement: Changes the size of the shape
• Transformations are changes made to the position, size, or orientation
• A rotation turns a shape around a fixed point
• What is the line of reflection in a reflection transformation?

  A mirror image line
• A translation changes the size of a shape.

  False
• An enlargement preserves the size of the original shape.

  False
• In a reflection, the reflected shape is positioned on the same side of the line of reflection as the original shape.

  False
• A translation changes the orientation of a shape.

  False
• An enlargement changes the size of a shape while keeping the same proportions
• An enlargement changes the size of a shape by a scale factor
• What determines how much a shape is scaled up or down in an enlargement?

  Scale factor
• Match the transformation with its effect:

  Translation ↔️ Moves the shape to a new position

  Rotation ↔️ Turns the shape around a fixed point

  Reflection ↔️ Creates a mirror image

  Enlargement ↔️ Changes the size of the shape
• A reflection creates a mirror image by flipping a shape over a line of reflection
• Rotating a square 90 degrees clockwise around its center changes its size.

  False
• Rotating a square 90 degrees clockwise around its center changes its size or shape.

  False
• A reflection flips a figure across a line, creating a mirror image.

  True
• A rotation turns a shape around a fixed point by a specified angle.

  True
• A reflection creates a mirror image of a shape.
• What does a translation do to a shape?

  Moves it to a new position
• What creates a mirror image in a reflection?

  Line of reflection
• A reflection flips a shape over a line of reflection
• In a translation, each point of the shape moves the same distance
• When a shape is rotated, it changes its orientation
• What determines the ratio of lengths in an enlargement?

  Scale factor
• What does an enlargement preserve about a shape?

  Proportions
• What does a rotation change about a shape?

  Orientation
• If a triangle is enlarged by a scale factor of 2, its sides will be twice as long.


  True
• How many main types of transformations are there?

  Four
• Match the transformation with its definition:

  Translation ↔️ Moves a shape to a new position

  Rotation ↔️ Turns a shape around a fixed point

  Reflection ↔️ Flips a shape over a line

  Enlargement ↔️ Changes the size of a shape
• What acts as the "mirror" in a reflection?

  Line of reflection
• What is the fixed point called around which a shape rotates?

  Center of rotation
• A rotation can only be clockwise.

  False
• Enlargements change the shape of a figure.

  False