Similar and Congruent Figures
Create a polygon that is similar to the one pictured below. (Hint: it should not be exactly the same)
Similar Polygon
1. When creating your similar polygon, what factors were important to consider?
2. What is the name of this polygon? How do you know?
3. What makes the original polygon and the one you created similar?
4. What would make the two polygons congruent?
Similar Triangles
Similar Triangles
1. What is the relationship (ratio) of the two triangles?
2. How can you tell that these two triangles are similar?
3. What is the slope of triangle ABC?
4. What is the slope of triangle DEF?
5. How does the slope of the two triangle relate to their similarity?
Congruent Triangles
Congruent Triangles
1. Triangles ABC and DEF are congruent. How can you tell?
2. Manipulate triangle DEF so that it is no longer congruent to triangle ABC.
3. After manipulating the triangle, create a similar triangle to ABC.
4. Explain the difference between similar and congruent figures.