Download 5.4 – Pythagorean Theorem

5.4 – Pythagorean Theorem
Pythagorean Theorem: If ∆𝐴𝐵𝐶 is a ___________________________, and you know the length of _________________________, then you
can always find the length of the ____________________________.
Legs: __________________
Hypotenuse: ____________
____2 + ____2 = ____2
Examples: For the following right triangles, find the length of the missing side.
1.
𝑐 = _________
2.
𝑎 = _________
3.
𝑏 = _________
4.
𝑐 = _________
5.4 – TRIANGLE CONGRUENCE THEOREMS:
SSS –
If all three sides of one triangle are congruent to all three sides of a second triangle, then the two triangles are congruent.
Triangle Congruence Statement: _________________________________
Congruent Parts: ______________________________________________
______________________________________________
SAS – If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle,
then the two triangles are congruent.
Triangle Congruence Statement: _________________________________
Congruent Parts: ______________________________________________
______________________________________________
ASA – If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle,
then the two triangles are congruent.
Triangle Congruence Statement: _________________________________
Congruent Parts: ______________________________________________
______________________________________________
AAS – If two angles and the non-included side of one triangle are congruent to two angles and the non-included side of a second
triangle, then the two triangles are congruent.
Triangle Congruence Statement: _________________________________
Congruent Parts: ______________________________________________
______________________________________________