Answer:
Step-by-step explanation:
Given: CS ≅ HR
∠CHS ≅ ∠HCR
∠CSH ≅ ∠HRC
Prove: CR ≅ HS
ΔCHS ≅ ΔHCR (Angle-Angle-Side, AAS, congruence property)
ΔICR ≅ ΔIHS (congruence property)
IS ≅ IR (similarity property)
CS ≅ HR (given)
Thus,
IC = IS + SC (addition property)
IH = IR + RH (addition property)
IC ≅ IH
Then,
CR ≅ HS (similarity property of triangles SCH and RHC)
