Congruent Triangles Worksheet

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Congruent triangles worksheet is a collection of problems which involves congruency of one triangle with another. Two

triangles can be congruent if any of following rule is established:-

1)      SSS ( stands for side, side, side)

2)      SAS (stands for side, angle, side)

3)      ASA ( stands for angle, side, angle)

4)      AAS ( stands for angle, angle, side)

5)      RHS (stand for right angle, Hypotenuse, side)

Apart from congruent triangles, there is also transformation associated with individual triangles. To understand clear concept,

we will take one congruent triangle example and one transformation example. The examples are shown below :-


Example 1: Which 2 out of 3 triangles shown below are congruent? 


Solution: In above figures, the fig (1) and fig (3) are congruent.

 This is because all the sides of fig (1) is equal to the all the sides of fig (2).

 Therefore by SSS axiom

Fig (1) and Fig (2) are congruent to each other.

 
Example 2: Explain the sequence of transformation from figure 1 to 2.


Figure 1 coordinates are (3, 1), (3, 2) and (4, 2)

Figure 2 coordinates are (2, 2), (2, 3) and (3, 2)

Solution: In the given problem

 Figure 1 is a triangle which when rotation towards left 90 degrees

 (3,1), (3,2) and (4,2) = (3,1), (3,2) and (4,1)

 Then this figure is moved, we get figure 2

 (3,1), (3,2) and (4,1) = (2,2), (2,3) and (3,2)

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