EDGE Math 8

Definitions
An angle of a triangle is said to be included by the sides of the triangle that lie on the sides of the angle.

A side of a triangle is said to be included by the angles whose vertices are the endpoints of the segment.

Now, work on the following activities to investigate the congruence of two triangles further.

Activity 3

1.	Draw any triangle. Label it $Δ G H I .$
2.	Choose your partner. Tell him/her to draw another triangle with two angles and the included side congruent to two angles and the included side of $Δ G H I .$ Ask him/her to label it $Δ R S T .$
3.	Cut out $Δ G H I$ and $Δ R S T .$ Place $Δ G H I$ over $Δ R S T$ so that the corresponding congruent parts coincide. Determine if the two triangles are congruent. Compare your results with those of the other groups.
4.	Write a conclusion about two triangles that have two angles and the included side of one triangle congruent to two angles and the included side of the other triangle.