Congruent Triangles

Congruent triangles

In order to tell if triangles are congruent you need three pieces of information about sides or angles. There are four rules for congruent triangles which will be explored in the worksheet below.

Exploring sides and angles of congruent triangles

In the apps below there are two triangles. Measure the sides and angles and determine if the triangles are congruent. You can find the tools for these in the menu above the triangles. The measure button is the one that looks like an angle of a triangle. In this drop down menu you can select all measurements including angle magnitude (first in the menu) and side length (third).

Testing Triangles

Were the side lengths of both triangles...

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A
All different
B
All the same
C
Mixture of both

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Were the angles of both triangles...

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A
All different
B
Mixture of both
C
All the same

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Do you think these triangles are congruent? Why?

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Testing Triangles

Are the angles of the following triangles...

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A
All the same
B
All different
C
A mixture of both

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Are the side lengths of the following triangles...

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A
All the same
B
All different
C
A mixture of both

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Are these triangles congruent?

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A
Yes because all the angles are the same
B
No because they are not the same size and therefore are not mirror images of eachother
C
No because not all the angles are the same
D
Yes because size doesn't matter as long as they have the same shape

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Do you think that just using angles is a good determinant of congruence?

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A
Yes
B
No

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Congruent Triangles