2 This only works with right triangles! Postulate: If there exists a correspondence between the vertices of two right triangles such that the hypotenuse and a leg of one triangle are congruent to the corresponding parts of the other triangle, the two right triangles are congruent. HLThis only works with right triangles!
3 Then triangle ABC Triangle ADC SSS 1B2D34CGiven: AB AD<1 <2Thus <3 <4So BC CD, AC ACThen triangle ABC Triangle ADC SSS
5 Given circle O YO ⊥ YX ZO ⊥ ZX Conclude: YX ZX Y O X Z Statement ReasonCircle O GivenOY OZ Radii of circle are congruent (L)YO ⊥ YX, ZO ⊥ ZX GivenOYX & OZX are rt s ⊥ ⇒ right ()OX OX Reflexive (H)△OYX △OZX HL (2, 4, 5)YX ZX CPCTC
6 Remember, you still have three things to prove congruent: Right angleOne legHypotenuse