Divide triangle into 4 congruent triangle
Q01. Diagram
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Q02. Otho-center, centroid and circum-center are colinear
Construction
- Draw a triangle ABC
- Draw mid points D, E, F
- Join DE, EF and FD
- Then we four congruent triangle
Proof : Use mid point theory of triangle
- DE parallel to AB
- DE = AB/2
- Trinagle CDE is congruent triangle AEF
- Angle CED = angle EAF
- CE = AE
- DE = AF
- Hence two triangles are congruent
- Similarly, we can make the proof of other triangles
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Q03. Questions
Questions
- 1. What is mid-point theory of triangle ?
- 2. What are the conditions of two triangles congruent ?
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