Multiple Transformations - Congruent Shapes

Last updated over 7 years ago

9 questions

Note from the author:

This Formative is by: Brian Gervase

This mini lesson allows students to 'prove' two shapes are congruent by using a translation and a rotation to match up the shapes. The lesson contains a video sample and a play pad for trying it out in Geogebra.

Multiple Transformations - Congruent Shapes

Multiple Transformations - Congruent Shapes

Imagine you had two congruent shapes sitting on your desk in any random orientation. If you had to use transformations to EXPLAIN how to move one object exactly on top of the other, what type of moves would you most likely need? (choose all that apply)

Before performing a translation in Geogebra, you first need to define:

Before performing a rotation in Geogebra, you first need to define:

The above excercise in some ways is a 'proof' that the two rectangles are congruent to each other. Explain how you KNOW that the two shapes are congruent after these transformations. Use the properties of translations and rotations to support your answer.

On a 2D plane, any shape can be moved to cover a congruent shape using only translations and rotations.

Explain why this cannot be done with only translations or only rotations.

Explain the two transformations you used to solve your partner's problem. Be specific and use exact values. Pretend you are writing directions for someone not named Mr. Gervase.

Give specific directions to move the blue shape ONTO the orange shape.

Imagine you had two congruent shapes sitting on your desk in any random orientation. If you had to use transformations to EXPLAIN how to move one object exactly on top of the other, what type of moves would you most likely need? (choose all that apply)

Before performing a translation in Geogebra, you first need to define:

Before performing a rotation in Geogebra, you first need to define:

The above excercise in some ways is a 'proof' that the two rectangles are congruent to each other. Explain how you KNOW that the two shapes are congruent after these transformations. Use the properties of translations and rotations to support your answer.

On a 2D plane, any shape can be moved to cover a congruent shape using only translations and rotations.

Explain why this cannot be done with only translations or only rotations.

Explain the two transformations you used to solve your partner's problem. Be specific and use exact values. Pretend you are writing directions for someone not named Mr. Gervase.

Give specific directions to move the blue shape ONTO the orange shape.