Skip to Main Content

500 N. Central, Eureka, MO 63025 | Phone (636) 733-2000 | Fax (636) 733-8851

Unit Details

​​​​​​​​​​​​​​​​​​​​​​​​Instructions: Rockwood unit details share the timeline, the enduring understanding and the essential questions for each unit.  Click on the standard title to be directed to the information on related standards for the unit.​

 Unit Details

Unit Title
Congruent Triangles
Unit Number
GEOM05
Course
Geometry
Content Area
Math
Description
Students will identify and apply similarity properties. They will prove polygons are similar/congruent, write
similarity statements, identify scale factors and use properties of similar triangles to solve application and algebraic problems.
Timeline
2.5 Week(s)
Enduring Understandings
Similar and congruent geometric figures have proportional parts.
Using the ratio of corresponding side lengths, you can identify if two triangles are similar.
If two angles of two triangles are congruent then the triangles are similar.

Essential Questions
How do you prove triangles or polygons similar?
What are the differences between similar and congruent figures?
How do you identify corresponding parts of similar triangles?
How might the features of one figure be useful when solving problems about similar figure?


Additional Unit Resources

 Error ‭[1]‬

Web Part Error: Access denied. You do not have permission to perform this action or access this resource. Correlation ID: aa8d7c9f-8dfd-f043-9599-c4c4673d67e1.

 Error ‭[3]‬

Web Part Error: Access denied. You do not have permission to perform this action or access this resource. Correlation ID: aa8d7c9f-8dfd-f043-9599-c4c4673d67e1.

 Error ‭[2]‬

Web Part Error: Access denied. You do not have permission to perform this action or access this resource. Correlation ID: aa8d7c9f-8dfd-f043-9599-c4c4673d67e1.
  
  
Standard
Standard Component
  
Use geometric shapes, their measures and their properties to describe objects.
ECO
  
Apply geometric methods to solve design mathematical modeling problems.
  
  
Standard
Standard Component
  
Develop the definition of congruence in terms of rigid motions.
ECO
  
Develop the criteria for triangle congruence from the definition of congruence in terms of rigid motions.
ECO
  
Prove theorems about polygons.
ECO
  
Prove theorems about triangles.
ECO
  
Use coordinates to prove geometric theorems algebraically.
ECO
  
Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.