TRANSFORMATIONS AND CONGRUENCE CHALLENGE 5
Instructions
A two-dimensional figure is congruent to another if the second figure can be constructed from the first by a sequence of what geometers call transformations:
- reflection
- rotation
- translation
Remember that congruent means identical in terms of lengths of sides and all angles: you could cut out the second figure and, with a bit of rearranging, get it to exactly cover the original figure.
If you have not used these tools in earlier GeoGebra activities, you will want to practice with them a bit. Just construct any closed figure and try reflecting, rotating, and translating the original figure into a congruent figure that is has been transformed.
The Challenge
On the GeoGebra workspace, you will find a red figure, a green figure, and a blue figure:
- The red figure is the original figure.
- The green figure is a congruent figure created by using a combination of two transformations
- The blue figure is for you to experiment with.
Your challenge is determine how the two transformations indicated were used to create the congruent green figure. Experiment with the blue figure, a duplicateof the red figure. Using any of the transformation tools, you decide how to recreate the red to green transformation and, hence, the creation of a congruent figure.
Experiment with the blue figure, a duplicate of the red figure. Use two transformation tools, you decide which, to recreate the red to green transformation and, hence, the creation of a congruent figure.
The check-box will allow you to check your solution.