Shapes, Symmetry, and Congruency inthe World Around Us

Zoom-In: Exploring GeometryZoom-In: Exploring Geometry

Investigative Question: What might images of buildings teach us about symmetry and geometry in our world?

Understanding Goal:Symmetry and geometry can be

seen in the world around us.

What kinds of shapes do you see?

Do you see any 2-D shapes?

Can you name them?

What kinds of 3-D shapes do you see?

Can you describe them?

Describe the symmetry in this picture.Describe the symmetry in this picture.

Where are the Where are the

lines of Symmetry?lines of Symmetry?

Do you think the other part of the building in the picture will besymmetrical?

Why or why not?

Did you visualize this? Was the building symmetrical?

Why or why not?

Did you see other symmetrical areas in the picture?

What geometrical shapes do you see now?

Can you identify a shape and tell how many lines of symmetry there are?

Do you see congruency in the picture?Tell about it.

What kind of view is this?

How does it affect how you see geometry in the world?

Would it makea difference if the picture was flat?

Have you ever seen this view before? How do you think this picture was taken? Where was this picture taken? Describe views you have seen similar to this. Think about the shapes you saw and how the view affected what you saw.

Boucher, J. (1992). White House Grounds & Ellipse, Washington, District of Columbia, DC 2. AERIAL VIEW OF THE WHITE HOUSE GROUNDS, ELLIPSE, AND MONUMENT GROUNDS, LOOKING SOUTH. HABS DC,WASH,649-2. Library of Congress: American Memory, Built in America: Historic American Buildings Survey/Historic American Engineering Record, 1933-Present