Transformations in Geometry

The video introduces the concept of isometry, explaining it as a transformation that preserves shape and size. It covers isometric transformations like translation, rotation, and reflection, which maintain congruence. Non-isometric transformations, such as dilation and stretch, alter the shape or size. The video also demonstrates how these transformations apply to coordinate grids, highlighting the effects of different rules on shapes.

What does the term 'isometry' primarily refer to in geometry?

• A transformation that only changes size

• A transformation that preserves shape and size

• A transformation that only changes angles

• A transformation that changes the shape

Which of the following is NOT an isometric transformation?

• Translation

• Rotation

• Reflection

• Dilation

What property is preserved in a rotation?

• Only the shape

• Only the size

• Neither shape nor size

• Both shape and size

How does a reflection affect a shape?

• It changes the size

• It changes the angles

• It flips the shape over a line

• It distorts the shape

Which transformation involves moving a shape without altering its size or orientation?

• Translation

• Rotation

• Dilation

• Stretch

Which transformation is characterized by flipping a shape over a line?

• Reflection

• Translation

• Rotation

• Dilation

Which transformation is characterized by maintaining the same shape and size?

• Dilation

• Translation

• Rotation

• Reflection

Which transformation involves moving a shape to a different position without altering its size?

• Translation

• Rotation

• Dilation

• Stretch

Which transformation involves flipping a shape over a line?

• Translation

• Rotation

• Reflection

• Dilation

Which transformation is characterized by maintaining the same shape and size?

• Rotation

• Dilation

• Reflection

• Translation