When several triangles overlap and you need to use one pair of congruent triangles to prove another pair congruent, you may find it helpful to draw a diagram of each pair of triangles.
Given:
Prove:
Which triangles are useful here?
If
Statements | Reasons |
---|---|
1)
|
1) Given |
2)
|
2) Given |
3)
|
3) Base of an isosceles
|
4)
|
4) Reflexive Property of
|
5)
|
5) SAS |
6)
|
6) Corresp. parts of
|
7)
|
7) Vertical angles are
|
8)
|
8) AAS |
9)
|
9) Corresp. parts of
|
Prove: