2This 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!
3Then triangle ABC Triangle ADC SSS 1B2D34CGiven: AB AD<1 <2Thus <3 <4So BC CD, AC ACThen triangle ABC Triangle ADC SSS
5Given 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
6Remember, you still have three things to prove congruent: Right angleOne legHypotenuse