# Congreuncy and Similarites

# Congreuncy and Similarites

by J Ffryteo
# 1. The corresponing vertices must be named in correct order

## 1.1. E.g BCA is congruent to QRP

# 2. The hypotenuse and a side of right-angled triangles are equal (RHS)

# 3. Two angles and a corresponding side are equal (ASA,AAS,SAA)

# 4. All three correspnding sides are equal (SSS)

# 5. Two sides and included angle are equal (SAS)

# 6. Two figures are similar if

## 6.1. The corresponding angles are equal and

### 6.1.1. the corresponding sides are in the same ratio

6.1.1.1. New node

# 7. When 2 figures are congruent, they are also similar

## 7.1. However the converse is not true

# 8. Similarity and Enlargement

## 8.1. An enlargement is a transformation that changes the size of a figure

## 8.2. If the scale factor is greater than 1, then the image is enlarged

## 8.3. If the scale factor is between o and 1, then the image is reduced

# 9. Areas of smilar figures

## 9.1. A1 and A2 denotes the areas of 2 similar figures and l1 and l2 denote their corresponding lengths