Problem

Problem

Homework: Complete meaning of Similarity. Let △A1B1C1∼△A2B2C2\triangle A_1B_1C_1 \sim \triangle A_2B_2C_2. A1B1A2B2=B1C1B2C2=C1A1C2A2=k\frac{A_1B_1}{A_2B_2} = \frac{B_1C_1}{B_2C_2} = \frac{C_1A_1}{C_2A_2} = k. Prove that the ratio of corresponding (1) Medians, (2) Altitudes, (3) Inradii, (4) Exradii, (5) Circumradii, (6) Distance between corresponding points (OHOH, GHGH etc.); equals kk. You are expected to write detailed proof of each result. a. Medians b. Altitudes c. Inradii d. Exradii e. Circumradii f. Distance between corresponding points (OHOH, GHGH etc.)

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