Exploring Triangle Congruence

Introduction:

In this activity, place different shapes on the transparent sheet and examine each shape to determine if it is congruent to another shape on the sheet.
By comparing the shapes and analyzing their properties, students will develop an understanding of congruence, emphasizing the importance of the same shape and size.

For this activity, use the nuts to make impressions on the clay in various positions and sizes.
Then, select a nut and test if it fits perfectly into all the holes made by other nuts.
By identifying which two nuts are congruent based on their ability to fit perfectly into the same holes, students will gain a hands-on understanding of congruence and the
concept of same shape and size.

In this activity, examine the given triangles on the transparent sheet and determine the number of triangles that are congruent to a given figure.
By visually comparing the triangles and identifying congruent ones, students will deepen their understanding of congruence and develop skills in identifying congruent triangles.

Sliding bar model (rulers, Eva foam sheets, pins, magnets, combined protractor + ruler)

For this activity, construct a sliding bar model using rulers, Eva foam sheets, pins, magnets, and a combined protractor + ruler.
Use the model to measure angles and lengths of sides to verify triangle congruence.
Explore different cases, such as when only one value (side or angle) is known or when two or three values are known.
By constructing triangles and applying congruence criteria, students will gain a deeper understanding of the various criteria for triangle congruence.