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Williamsburg High School for Architecture and Design

Redefining Career & Technical Education in New York City Since 2009

You are here: Home / Teacher Posts / Unit 6: Topic 1 (Reflections)

Unit 6: Topic 1 (Reflections)

January 12, 2015 By Ms. Bruno

AIM: How can our knowledge of geometric reflections help us keep a roof from collapsing?

 

The unit on transformations begins with a few important definitions.

 

A transformation is the change of a line or point by size, position, or location. (Examples of transformations are turns, flips, and slides.)

 

A figure and its reflection are the same size and shape but face in opposite directions.

 

A reflection of a figure is called an image. The original figure is called the preimage.

 

A transformation that creates a figure congruent to the original is called an isometry.

 

Here’s an example of a reflection over the x-axis.

X-Axis

 

Here’s an example of a reflection over the y-axis.

y axis

 

If you look closely, you’ll see that the image and preimage in both examples areĀ congruent. This means that reflections areĀ isometries.

 

We use this fact in the classwork to explain how our roof design will keep a roof standing.

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Ms. Bruno

About Ms. Bruno

Ms. Bruno has been an Assistant Principal at Williamsburg High School for Architecture and Design since 2009. She oversees the departments of Science, Mathematics, Architecture and Design (Career and Technical Education (CTE)), Physical Education and Health. She can be reached at 718-388-1260 ext. 2080, or bruno@whsad.org.

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