Transformations in Geometry

Brittany from Made for Math introduces transformations on the coordinate plane, explaining the concepts of pre-image and image. She covers three types of transformations: translation, rotation, and reflection, using relatable examples. The video concludes with a discussion on congruent images, emphasizing that transformations maintain the size and shape of the original image.

What is the main idea behind transformations in mathematics?

• To color shapes differently

• To create new shapes

• To change the size of shapes

• To change the location of shapes on the coordinate plane

What does the term 'pre-image' refer to in transformations?

• A shape that is larger than the original

• A shape that is not transformed

• The original shape before transformation

• The final shape after transformation

What does the prefix 'trans' in 'translation' imply?

• To increase in size

• To stay still

• To decrease in size

• To move across

In a translation, what happens to a shape on the coordinate plane?

• It slides to a new position

• It changes size

• It reflects over an axis

• It rotates around a point

What is a key characteristic of a rotation on the coordinate plane?

• It involves changing the size of a shape

• It involves turning a shape around a point

• It involves sliding a shape

• It involves flipping a shape over an axis

What is the point called around which a shape rotates?

• Point of translation

• Point of reflection

• Point of rotation

• Point of dilation

What does the prefix 're' in 'reflection' mean?

• Back

• Upward

• Sideways

• Forward

What happens to a shape during a reflection on the coordinate plane?

• It rotates around a point

• It flips over an axis

• It slides to a new position

• It changes size

What is common among translations, rotations, and reflections?

• They all involve changing the color of the shape

• They all result in a larger shape

• They all produce congruent images

• They all change the size of the shape

What does 'congruent' mean in the context of transformations?

• Same size but different shape

• Same size and shape

• Different size and shape

• Different size but same shape