# data[].attributes.body
GeoGebra Activity: Exploring Triangle Congruence

Objective:

Use GeoGebra to explore and demonstrate the three methods for proving triangle congruence: Side-Angle-Side (SAS), Angle-Side-Angle (ASA), and Side-Side-Side (SSS).

Directions:

1. Open GeoGebra:

Launch the GeoGebra software on your device.

2. Create a Triangle:

Select the Polygon Tool from the toolbar.

Click three points on the grid to create a triangle. Label the vertices as A, B, and C.

3. Explore Side-Angle-Side (SAS):

Create a second triangle by selecting the Polygon Tool again.

Click to create points D, E, and F such that:

AB = DE

\angle ABC = \angle DEF

AC = DF

Use the Angle Tool to measure the included angle and ensure it is equal.

Show that triangles ABC and DEF are congruent by using the SAS method.

4. Explore Angle-Side-Angle (ASA):

Create another triangle using the Polygon Tool.

Label the vertices as G, H, and I such that:

\angle GHI = \angle ABC

GH = AB

\angle HIG = \angle ACB

Measure the angles using the Angle Tool to confirm they are equal.

Demonstrate congruence using the ASA method.

5. Explore Side-Side-Side (SSS):

Create a final triangle and label the vertices as J, K, and L such that:

JK = AB

KL = BC

JL = AC

Use the Segment Tool to measure all sides and ensure they are equal.

Show that triangles ABC and JKL are congruent using the SSS method.

6. Document Your Findings:

For each triangle pair, write a brief explanation of how you proved their congruence using the respective method.

Include screenshots of your triangles in your document.

7. Share Your Work:

Prepare to present your findings to the class, explaining each method and your conclusions.

Tips:

Use the Move Tool to adjust the triangles and see how they remain congruent.

Experiment with different triangle shapes and sizes to deepen your understanding.

Make sure to save your work periodically!

Questions to Consider:

How do the properties of the triangles change when you manipulate their shapes?

Why is it important to have the correct order of sides and angles when using these methods?

Submission:

Turn in your document with explanations and screenshots by the end of class.

Happy exploring!