| Congruent triangles 2 | |
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| Description | |
| Exercise Name: | Congruent triangles 2 |
| Math Missions: | High school geometry Math Mission |
| Types of Problems: | 1 |
The Congruent triangles 2 exercise appears under the High school geometry Math Mission. This exercise applies congruent triangles to find missing information.
Types of Problems[]
There is one type of problem in this exercise:
- Use the congruent triangles to find the missing measure: This problem provides a diagram that consists of, or can be cut into, two congruent triangles. Some of the information is labeled and the student is asked to use the labeled information and the properties of congruence to determine the value of a variable.
Use the congruent triangles to find the missing measure
Strategies[]
Knowledge of property of Corresponding Parts of Congruent Triangles are Congruent (CPCTC) will ensure success on this exercise.
- The triangles that "look" congruent, generally are.
- The correct congruency postulates are SSS, SAS, ASA, AAS and (HL).
- The CPCTC property is essentially the definition of congruent shapes. The abbreviation CPCTC is common in many Geometry classes.
Real-life Applications[]
- Recognizing when shapes are congruent, and conditions that ensure congruency, is an important skill in drafting and architecture.
- The ancient Egyptians from over 4000 years ago were very good at shapes and geometry. Every time the Nile burst its banks and flooded the planes, they had to use geometry to measure their gardens and fields all over again.