Congruent Triangles Worksheets
What is Congruence in Triangles?
The most primary shape we learn about in our childhood is a triangle. A figure bounded by three sides is not like other figures that we work with. The common kinds of triangles that we come across every day are equivalent, isosceles, and scalene.
A triangle has three sides, three angles, and three vertices. And depending on the similarities between the measures of angles of the triangle, they are classified as equilateral, isosceles, and scalene. When it comes to finding the congruence between any object, the rule is to examine the two of them carefully and find similarities between them. An example of two things being similar or congruent is; two bangles of the same size and shape are said to be congruent.
Two triangles are said to be congruent when they have all sides equal and all the angles equal. For example, a triangle LMN is said to be congruent when sides LM = MN are equal, as well as

Basic Lesson
Guides students through various applications of congruent triangles. Example: Δ JKL is congruent to Δ MNO If the sum of the measures of ∠J and ∠L is 70 degrees, what is the degree measure of ∠N?
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Intermediate Lesson
Demonstrates the variety of ways to determine congruency. Sample: ΔPQR ≅ ΔLMN and the perimeter of ΔLMN is 30 cm. If the sum of two sides of ΔPQR is 25 cm, what is the length of the third side of ΔLMN ?
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Independent Practice 1
A really great activity for allowing students to understand the concepts of the Congruent Triangles. Example: Δ JKL is congruent to Δ MNO If the sum of the measures of ∠J and ∠L is 120 degrees, what is the degree measure of ∠N?
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Independent Practice 2
Students use Congruent Triangles in 20 assorted problems. The answers can be found below.
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Homework Worksheet
Students are provided with 12 problems to achieve the concepts of Congruent Triangles.
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Basic Lesson
Guides students through finding the basic premise of Triangle Congruence. Sample: ΔABC ≅ ΔA'B'C', AB is 2x + 5 and A'B' is x + 9. Find the value of x. If two triangles are congruent then corresponding sides are equal,
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Intermediate Lesson
Demonstrates how to prove Triangle Congruence. AAA can be used in proving triangles congruent. Is it true or false? False because AAA allows the triangles to be similar or shape but not congruent.
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Independent Practice 1
A really great activity for allowing students to understand the concepts of the Congruence of Triangles.
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Independent Practice 2
Students determine the Congruence of Triangles in 20 assorted problems. The answers can be found below.
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Homework Worksheet
Students are provided with 12 problems to achieve the concepts of Congruence of Triangles.
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Basic Lesson
Guides students through the beginner skills of Congruence of Triangles. As two triangle are congruent perimeter of both triangles are same.
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Intermediate Lesson
Demonstrates how to use advanced skills to tackle Congruence of Triangles problems.
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Independent Practice 1
A really great activity for allowing students to understand the concepts of the Congruence of Triangles.
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Independent Practice 2
Students use Congruence of Triangles in 20 assorted problems. The answers can be found below.
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Homework Worksheet
Students are provided with 12 problems to achieve the concepts of Congruence of Triangles.
View worksheet
Thinking Differently
An engineer thinks that his equations are an approximation
to reality.
A physicist thinks reality is an approximation to his equations.
A mathematician doesn't care.