Help Students Visualize Overlapping Triangles

15 September 2017
When teaching triangle congruence, overlapping triangles appear at some point.  I always teach students to draw the triangles separately before making any conclusions.  This activity/demonstration helps students create overlapping triangles and separate them to see the triangles individually.

This is an activity to help students visualize overlapping triangles. It is perfect for a congruent triangles unit!

First, fold one corner of a piece of paper to form a triangle.  Trace the triangle on the piece of paper.

Investigating Overlapping Triangles - this is a great hands-on activity to do before congruent triangles proofs

Cut along the traced edges and cut along the fold.  How do you know that the two triangles are congruent?

Investigating Overlapping Triangles - this is a great hands-on activity to do before congruent triangles proofs

Label the angles of the triangle.  Have students write a congruence statement.

Investigating Overlapping Triangles - this is a great hands-on activity to do before congruent triangles proofs
Use the two triangles to create different shapes.  Have some of the shapes use overlapping triangles.  

Investigating Overlapping Triangles - this is a great hands-on activity to do before congruent triangles proofs

See how many other shapes students can find with their congruent triangles.

Investigating Overlapping Triangles - this is a great hands-on activity to do before congruent triangles proofs


This is a great activity to do before starting congruent triangles proofs!
a congruent triangles activity to help students visualize overlapping triangles - great for high school geometry students beginning triangle congruence proofs

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