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What are corresponding sides and angles?

Answer: Corresponding sides and angles are a pair of matching angles or sides that are in the same spot in two different shapes. Look at the pictures below to see what corresponding sides and angles look like.
Note: These shapes must either be similar or congruent.

Example 1
picture of corresponding sides and angles
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

illustration of corresponding sides and angles
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?

Answer: Orientation does not affect correspondign 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!)

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Practice Problems


Problem 1 If $$\triangle ABC $$ and $$ \triangle UYT$$ are similar triangles, then what sides/angles correspond with:
AB question
$$ \angle BCA $$ question
TU question
$$ \angle TUY $$ question
Proving Triangles Congruent
Similar Triangles