# TRIANGLE CONGRUENCE

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TRIANGLE CONGRUENCE

## 1. 4-1 CONGRUENCE AND TRANSFORMATIONS

### 1.3. ISOMETRY IS A TRANSFORMATION THAT PRESERVES LENGTH, ANGLE, MEASURE, AND AREA.

1.3.1. A RIGID TRANSFORMATION IS ANOTHER NAME FOR ISOMETRY

## 2. 4 - 1 CLASSIFYING TRIANGLES

### 2.1. TYPES OF TRIANGLES

2.1.1. - ACUTE TRIANGLE - EQUILANGULAR TRIANGLE - RIGHT TRIANGLE - OBTUSE TRIANGLE - EQUILATERAL TRIANGLE - ISOSCELES TRIANGLE - SCALENE TRIANGLE

## 3. 4-3 ANGLE RELATIONSHIPS IN TRIANGLES

### 3.1. THE SUM OF THE ANGLE MEASURES OF A TRIANGLE IS 180 DEGREES

3.1.1. AN AUXILIARY LINE IS A LINE THAT IS ADDED TO A FIGURE TO AID IN A PROOF.

### 3.2. A COROLLARY IS A THEOREM WHOSE PROOF FOLLOWS DIRECTLY FROM ANOTHER THEOREM.

3.2.1. THE INTERIOR IS THE SET OF ALL POINT S INSIDE THE FIGURE. THE EXTERIOR IS THE SET OF ALL POINTS OUTSIDE THE FIGURE.

## 4. 4-4 CONGRUENT TRIANGLES

### 4.3. A HELPFUL HINT IS THAT 2 VERTICES THAT ARE THE ENDPOINTS OF A SIDE ARE CALLED CONSECUTIVE VERTICES

4.3.1. YOU CAN NAME CONGRUENT CORRESPONDING PARTS BY IDENTIFYING ALL PAIRS OF CORRESPONDING CONGRUENT PARTS.

## 5. 4-5 TRIANGLE CONGRUENCE SSS AND SAS

### 5.1. TRIANGLE RIGIDITY GIVES YOU A SHORTCUT FOR PROVING Z TRIANGLES CONGRUENT

5.1.1. YOU NEED TO REMEMBER ADJACENT TRIANGLES SHARE A SIDE, SO YOU CAN APPLY THE REFLECTIVE PROPERTY TO GET A PAIR OF CONGRUENT PARTS