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a didactic activity 4

ACTIVITY 4 "TRIANGLES CLASSIFICATION AND STRAIGHT AND NOTEWORTHY POINTS INTRODUCTION TO THE MATCHING"
Activity description
The student built in GeoGebra triangles and classify different regarding their sides and angles, explaining why the ranks that way.
Given that the student has knowledge of it is: a bisector and midpoint of a segment and bisector of an angle, we draw these lines in a triangle and include the concepts seen in the session high and medium face. Decided to locate the intersections of the bisectors, angle bisectors, medium and high, and explain the name and meaning of each point of intersection. After locating these points draw the inscribed circle and circumscribed, finding also the Euler line.
with the postulates of congruence of triangles identify students that triangles are congruent.
Development Activity:
The student will develop the following reagents:
1. In GeoGebra polygon tool built with different triangles to show graphically how and why fall. Showing as measured as measured internal angles and sides and mentioning why is within that classification.
2. GeoGebra lines on a triangle is not equilateral (polygon tool):
• Trace their bisectors and marks the point of intersection. What is the name of that intersection and write its definition? (Figure 1)
• Trace their medium and marks the point of intersection. What is the name of that intersection and write its definition? (Figure 2)
• Trace their bisectors and marks the point of intersection. What is the name of that intersection and write its definition? (Figure 3)
• Trace their heights and marks the point of intersection. What is your name from that point of intersection and write its definition? (Figure 4)
• Draw the circumcircle. (Figure 5)
• Draw the inscribed circle. (Figure 6)
• Trace the Euler line. (Figure 7)
• Now displays all the items labeled in the same figure. (Figure 8)
Questionnaire.
a) What do you call the intersection of the medians?
b) Is it true that the distance from the vertex to the point of intersection of the medians is twice the distance from the point of intersection of the medians to the median?
c) How is called the circle through the three vertices the triangle?
d) When the acute-angled triangle is where is the circumcenter of the triangle inside or outside the triangle?
e) When the triangle is obtuse where is the circumcenter inside or outside the triangle?
f) If it is right triangle where the circumcenter is inside or outside the triangle?
g) What do you call the intersection of the bisectors?
h) within the triangle is always the Incenter?
i) How do I get the Orthocenter of a triangle?
j) What classification of triangles the Orthocenter is within the triangle and in which outside triangle?
Note: If you need to do figures so you can answer the questions.
3. Mentioned congruent triangles and explain why:






4. Determine if the following figures if congruent triangles and explain why: