Learn all kinds of stuff about similar polygons, including their angles (which may or may not be congruent) and their sides (which are more than likely proportional).

Objective 1a

You will be able to define and use similar polygons

Mr. Labelle uses a scale model of the Guggenheim Museum and Mr. Noel's aching head to introduce the concept of similar figures. Duration_3_25

Guggenheim Museum Turns 50 (Optional)

Paradoxically, the most radical piece of art in the Guggenheim Museum is the Guggenheim Museum. From 2009, this New York Times video documents the 50th anniversary of the Guggenheim Museum in NYC. Duration_3_29

Objective 1b

Use the Similar_Polygons_Handout above to investigate the two key properties of similar polygons. Duration_8_11

Objective 1c

Mr. Labelle summarizes the previous investigation with the formal definition of similar polygons. Duration_3_26

Objective 1d

Here we have video solutions for Examples 1 and 2, which apply the definition of similar polygons. Duration_6_28

Objective 1e

In this video, the concept of a scale factor is applied to any linear length associated with two similar polygons. Duration_4_20

Objective 1f

Mr. Labelle quietly presents the video solution to Example 3. Duration_2_29

Objective 1g

Every transformation that we have mastered in this course has been a similarity transformation. In this investigation, we see what happens to the corresponding side lengths, the perimeters, and the areas of two shapes under dilation. Duration_9_07

Objective 1h

For two shapes with scale factor of a to b, what is the relationship their perimeters, areas, and volumes? Secrets revealed. Duration_1_27

Objective 1i

In this final video, Mr. Labelle applies the scale factor of two similar shapes to find an unknown perimeter and area for Examples 4 and 5. Duration_6_27

Geometry 3(A) describe and perform transformations of figures in a plane using coordinate notation

Geometry 3(C) identify the sequence of transformations that will carry a given pre-image onto an image on and off the coordinate plane

Geometry 4(A) distinguish between undefined terms, definitions, postulates, conjectures, and theorems

Geometry 7(A) apply the definition of similarity in terms of a dilation to identify similar figures and their proportional sides and the congruent corresponding angles