# Triangle Congruence

Get Started. It's Free
Triangle Congruence

## 1. Congruence & Transformations

### 1.1. Dilation

1.1.1. A transformation in which the lines connecting every point P with its preimage 'P all intersect at a point c known as the center of the dilation

### 1.2. Isometry

1.2.1. A transformation that dies nit change the size or shape of a figure

### 1.3. rigid transformation

1.3.1. Another name for isometry

## 2. Classifying Triangles

### 2.1. acute triangle

2.1.1. A triangle that has 3 acute angles

### 2.2. equiangular triangle

2.2.1. A triangle with three congruent angles

### 2.3. right triangle

2.3.1. A triangle with one right angke

### 2.4. obtuse triangle

2.4.1. A triangle with one obtuse angle

### 2.5. equilateral triangle

2.5.1. A triangle with three congruent sides

### 2.6. isosceles triangle

2.6.1. A triangle with at least two congruent sides

### 2.7. Scalene Triangle

2.7.1. A triangle with no congruent sides

## 3. Triangle Congruence: ASA, AAS, and HL

### 3.1. Included side

3.1.1. The common side of two consecutive angles of a polygon.

## 4. Angle Relationships in Triangles

### 4.1. auxiliary

4.1.1. A line drawn in a figure to aid in a proof

### 4.2. corollary

4.2.1. A theorem whose proof follows directly from another theorem

### 4.5. interior angle

4.5.1. An angle formed by two sides of a polygon with a common vertex

### 4.6. exterior angle

4.6.1. An angle formed by one side of a polygon and the extension of an adjacent side

### 4.7. remote interior angle

4.7.1. An interior angle of a polygon that is not adjacent to the exterior angle

## 5. Congruent Triangles

### 5.1. corresponding angle

5.1.1. Angles in the same relative position in two different polygons that have the same number of angles

### 5.2. corresponding sides

5.2.1. Sides in the same relative position in two different polygons that have the same number of sides

### 5.3. congruent polygons

5.3.1. Two polygons whose corresponding sides and angles are congruent

## 6. Triangle Congruence:SSS and SAS

### 6.1. triangle rigidity

6.1.1. A property of triangles that states that if the side lengths of a triangle are fixed, the triangle can have only one shape

### 6.2. included angle

6.2.1. The angle formed by two adjacent sides of a polygon