# Recognizing Congruent Triangles Worksheets

How to Recognize Congruent Triangles Congruence is the term used to describe an object and its mirror image. We call objects as congruent when they can be superimposed on each other. Two triangles are said to be congruent when they have the same measures of angles and same lengths. These triangles can be superimposed on each other angle to angle and side to side. We can define the congruency of the triangle by measuring the angles and the sides of the triangle. Below we have discussed the rules of defining the congruency of the triangle: SSS (Side-Side-Side) - Two triangles are said to congruent when all three sides of one triangle are equal to the three sides of the corresponding triangle. SAS (Side- Angle- Side) - Two triangles are said to be congruent when two sides and the included angle of the triangle are equal to the corresponding two sides and included angle of the second triangle. ASA (Angle-Side-Angle) - Two triangles are said to be congruent when two angles and the included sides are equal to the corresponding two angles and the included side of the second triangle. RHS (Right angle- Hypotenuse-Side) - Two right-angled triangles are said to be congruent when a hypotenuse and the side of one triangle are equal to the corresponding side and hypotenuse of the second right-angled triangle.

• ### Basic Lesson

Guides students through solving Recognizing Congruent Triangles. Name the method for proving triangles congruent based upon information given. If not enough information is given, write "Not Possible" (NP).

• ### Intermediate Lesson

Demonstrates the concept of advanced skill while solving Recognizing Congruent Triangles.

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of the Recognizing Congruent Triangles.

• ### Independent Practice 2

Students use Recognizing Congruent Triangles in 20 assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with 12 problems to achieve the concepts of Recognizing Congruent Triangles.

• ### Skill Quiz

This tests the students ability to understand Recognizing Congruent Triangles.

• ### Basic Lesson

Guides students through the use of angle bisectors and midpoints when recognizing congruent triangles.

• ### Intermediate Lesson

Demonstrates how to work with Side Angle Side and Hypotenuse Legs.

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of the Recognizing Congruent Triangles.

• ### Independent Practice 2

Students use Recognizing Congruent Triangles in 20 assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with 12 problems to achieve the concepts of Recognizing Congruent Triangles.

• ### Skill Quiz

This tests the students ability to understand Recognizing Congruent Triangles.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### Question:

Do you recognize this number, 0.000 000 000 753 kg.?

This is the mass of a dust particle!