1. Warm UP

2. 4.1 B Corresponding Parts & Similar Triangles
SWBAT define and identify parts of similar triangles, show proportionality and write proportionality statements.

3. Corresponding Parts <A ≅ <D <B ≅ <E <C ≅ <F
Corresponding parts are angles or sides that are in the same place in similar or congruent figures.
You can identify corresponding sides by knowing the corresponding angles.
Two ways to identify corresponding angles:
Corresponding angles are congruent to each other.
The statement of congruency or similarity tells all!!
Ex. ΔABC ~ ΔDEF
<A ≅ <D
<B ≅ <E
<C ≅ <F

4. Example 1 Corresponding Sides AB  DE AC  DF BC  EF
Ex. ΔABC ~ ΔDEF <A ≅ <D <B ≅ <E <C ≅ <F
Corresponding Sides
AB  DE
AC  DF
BC  EF

5. Example 2
Angles <X ≅ <P <Y ≅ <Q <Z ≅ <R Sides XY  PQ YZ  QR XZ  PR Q X
35° R
55°
35° P
55° Y Z

6. Congruent Angles
Proportional Sides

9. The given triangles are similar
The given triangles are similar. State the congruent corresponding angles and the proportional sides.

10. The given triangles are similar
The given triangles are similar. State the congruent corresponding angles and the proportional sides.

11. The given triangles are similar
The given triangles are similar. State the congruent corresponding angles and the proportional sides.