Folding Sculptures: A Focus on Surface Area and Scale Drawings

Middle School Math

Transformations in Landscaping

Shown below is a triangle reflected over the x-axis.Two triangles appear on a coordinate grid. Triangle ABC is the pre-image that is reflected over the x-axis. Triangle A prime B prime C prime is the image. Triangle ABC has vertex A at point negative 5, 3, vertex B at point negative 3, 7, and vertex C at point negative 2, 2. Triangle A prime B Prime C prime has vertex A prime at point negative 5, negative 3, vertex B prime at point negative 3, negative 7, and vertex C prime at point negative 2, negative 2.

Shown below is a triangle reflected over the y-axis.Two triangles appear on a coordinate grid. Triangle ABC is the pre-image that is reflected over the y-axis. Triangle A prime B prime C prime is the image. Triangle ABC has vertex A at point negative 5, 3, vertex B at point negative 3, 7, and vertex C at point negative 2, 2. Triangle A prime B Prime C prime has vertex A prime at point 5, 3, vertex B prime at point 3, 7, and vertex C prime at point 2, 2.

Prior to construction, landscape architects lay out their designs using maps and coordinate grids. These tools help architects plan for reflections in their designs.
Here are the beginnings of a landscape design using coordinate grids. Take a moment to study each grid. How far are the corresponding points from the reflection line?

On the next page, click the Play button to explore how coordinate grids are used to show reflections.

 

 

 

 


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