1.2 Finding Area by Decomposing & Rearranging - Activities 2 & 3

This app has one square and some small, medium, and large right triangles. Click on a shape and drag to move it. Grab the point at the vertex and drag to turn it.The area of the square is 1 square unit.

[color=#0c0300]Notice that you can put together [/color][b][color=#1e84cc]two small triangles[/color][/b][color=#0c0300] to make a [/color][b][color=#bf9000]square[/color][/b][color=#0c0300]. What is the area of the [/color][b][color=#bf9000]square[/color][/b][color=#0c0300] composed of [/color][b][color=#1e84cc]two small triangles[/color][/b][color=#0c0300]? Explain your reasoning.[/color]

Use these shapes to create a new shape with an area of 1 square unit that is not a square. Place this shape near the bottom of this app.

Use your shapes to create a new shape with an area of 2 square units. Place this shape near the bottom of this app.

Use your shapes to create a DIFFERENT SHAPE with an area of 2 square units. Place this shape near the bottom of this app.

Use your shapes to create a new shape with an area of 4 square units. Place this shape near the bottom of this app.

Recall that the area of the square is 1 square unit. Use this app to help illustrate your answers to your questions below.

[color=#0c0300]The area of the [/color]small triangle[color=#0c0300] is ____________ square units. I know this because____________________. [/color]

[color=#0c0300]The area of the [/color]medium triangle[color=#0c0300] is ____________ square units. I know this because____________________. [/color]

[color=#0c0300]The area of the [/color]large triangle[color=#0c0300] is ____________ square units. I know this because____________________. [/color]