Rigid Transformations and Congruence

This video tutorial covers lesson 12 on congruent polygons, focusing on activity 12.1 about translated images. It explains the concept of congruence, where polygons are identical in shape and size. The tutorial demonstrates how to identify translations, reflections, and rotations using triangle examples. It emphasizes that translations involve moving all points in a straight line, while reflections and rotations change the orientation of the shape. The video concludes by explaining how rigid transformations, including translations, rotations, and reflections, can be used to prove that polygons are congruent.

What does it mean for two polygons to be congruent?

• They have the same number of sides.

• They are identical in shape and size.

• They are both triangles.

• They have the same perimeter.

What is a translation in the context of polygons?

• A change in size.

• A movement in a straight line.

• A reflection over a line.

• A rotation around a point.

Which of the following is NOT a characteristic of a translation?

• All points move together.

• The shape changes.

• The size remains the same.

• The direction is consistent.

How can you identify a reflection among triangles?

• The triangle is translated.

• The triangle is rotated.

• The triangle is flipped over a line.

• The triangle is larger.

What happens to a triangle during a rotation?

• It flips over a line.

• It changes size.

• It moves in a straight line.

• It spins around a point.

Which transformation involves flipping a shape over a line?

• Dilation

• Translation

• Reflection

• Rotation

What is a rigid transformation?

• A transformation that only involves translations.

• A transformation that changes the size of a shape.

• A transformation that only involves rotations.

• A transformation that preserves the shape and size.

Which of the following is NOT a type of rigid transformation?

• Translation

• Rotation

• Reflection

• Dilation

How can you prove that two polygons are congruent?

• By comparing their areas.

• By showing they have the same perimeter.

• By using a sequence of rigid transformations.

• By checking if they are both triangles.

What is the final conclusion about congruent polygons?

• They are similar but not identical.

• They are identical in every aspect.

• They have different shapes.

• They have different sizes.