Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
Notability.
iOS and Android compatibility. Several positive reviews. I chose this app because of how easy it is to construct geometric shapes. The app lets you draw perfectly straight lines from points to perfect slope. I Like the fact that the app let’s you draw on grids like that of a coordinate plane. That makes it easy for students to create an x and y axis to create their constructions on. Cost is $9.99. A stylus of some kind is required. I have been using this app on an IPad Pro with an Apple Pencil and the two work together seemlessly. One extra added benefit is that the app allows you to make multiple pages on the same note. It really is a terrific app. Students, parents, and teachers are all equally able to use the app. For ages 4 and up.
Geogebra.
This app is very good for constructing shapes, angles, and planes. It is compatible with iOS and is recommended for ages 4 and up. It is a free app which makes it even more popular with teachers and students. The app allows for search for activities from within it and allows save and share ability for work that is created by a user. Family sharing is a feature where the same app can be used on multiple devices. Getting used to dragging points might inhibit new users but once that skill is mastered the app is very easy to use. It took me a few minutes to get the hang of it. It is compatible with iPhone but I had a better experience using it with an iPad simply because of the larger screen to work with.
Geometry Pad
Another cool app is the Geometry Pad app. I liked this app because of the tools it includes that help users construct bisectors and other difficult items. The basic app is free but there are in app purchases available for 6.99. Teachers might find these tools worth paying for but for students the free version will suffice nicely. The app is iOS and Android compatible and a stylus is required for the apps best work. Better and specific support for the Apple Pencil would be a nice feature but the app is not optimized for that. Better optimization could be had for those using a 12.9 inch iPad pro as opposed to a 10.5 inch screen. The app is recommended for use for those 4 and up. The app requires iOS 9 or greater and has multi language support.
I am a geometry teacher and I use these apps regularly in my classroom and with my students. Many of my students struggle with use of traditional pencil and paper construction of geometric shapes and these tools have been a great help to give the students the exposure of the concepts of construction. They also incorporate technology and principles that the students use on a daily basis. The learning curve for the students is not as big as it could be. Students these days struggle with the conceptual largely because of their dependence on technology. That is why Geogegra is my favorite. It creates an opportunity for the students to work any manipulate things like size, position, length, orientation and see how things are put together and work in conjunction to visualize geometric principals and theorems. Geogebra also lets the students share their work. This is the selling point for me! I highly recommend it.
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