#### What are corresponding sides and angles?

##### Example 1

In $$\triangle \color{Red}{A}BC $$ and $$\triangle \color{Red}{X}YZ $$,

$$\angle A$$ corresponds with $$\angle X$$

In quadrilaterals $$\color{Red}{JK}LM$$ and $$\color{Red}{RS}TU$$,

JK corresponds with RS

##### Example 2

In $$\triangle \color{Red}{A}BC $$ and $$\triangle \color{Red}{X}YZ $$,

$$\angle A$$ corresponds with $$\angle X$$

In quadrilaterals $$\color{Red}{JK}LM$$ and $$\color{Red}{RS}TU$$,

JK corresponds with RS

#### What if the shapes are rotated around?

Orientation does not affect corresponding sides/angles. * It only makes it harder for us to see which sides/angles correspond*

The two triangles below are congruent and their corresponding sides are color coded. Try pausing then rotating the left hand triangle. Notice that as the triangle moves around it's not always as easy to see which sides go with which. (Imagine if they were not color coded!)

### Practice Problems

##### Problem 1

If $$\triangle ABC $$ and $$ \triangle UYT$$ are similar triangles, then what sides/angles correspond with:

AB |
Follow the letters the original shapes: $$\triangle \color{Red}{AB}C $$ and $$ \triangle \color{Red}{UY}T $$ |

$$ \angle BCA $$ |
Follow the letters the original shapes: $$\triangle ABC $$ and $$ \triangle UYT $$ |

TU |
Follow the letters the original shapes: $$\triangle\color{Red}{A}B\color{Red}{C} $$ and $$ \triangle \color{Red}{U} Y \color{Red}{T} $$ |

$$ \angle TUY $$ |
Follow the letters the original shapes: $$\triangle ABC $$ and $$ \triangle UYT $$ |