Triangle Congruence - SSS

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2014-12-05 23:10

In collections Triangle Congruence

This activity allows students to construct triangles with given side lengths, demonstrating the SSS (Side-Side-Side) congruence theorem. Key mathematical concepts include triangle congruence. GeoGebra commands used include Point, Segment, Angle, etc. Suitable for middle school and above students for geometric construction practice.

GeoGebra Commands & Parameters

Point(Circle[A, abs(AB)]) → B
Segment(A, B) → b_1
Point(Circle[A, abs(AC)]) → C
Segment(A, C) → a_1
Point(Circle[B, abs(BC')]) → C'
Segment(B, C') → c
Angle(B, A, C) → a
Angle(C', B, A) → b

AI Drawing Prompt Reference

Draw a triangle to demonstrate the Side-Side-Side (SSS) congruence theorem. Start with a base segment. Using one endpoint as center, draw a circle with radius equal to the base length, and pick a point on this circle as the second vertex; connect to form the first side. Using the other endpoint as center, draw a circle with radius equal to a second given side length, and pick a point on this circle as the third vertex; connect to form the second side. Finally, using the second vertex as center, draw a circle with radius equal to the third side length, pick a point on this circle, and connect it to the second vertex to form the third side. Label the three interior angles and display their measures to show that equal side lengths imply congruent triangles.

The prompt above was compiled from the original drawing commands and is for reference only.