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Scholarship Geometry 4-1 Worksheet Name ____________________________________ 1. A jeweler creates triangular earrings by bending pieces of silver wire. Each earring is an isosceles triangle with the dimensions shown. How many earrings can be made from a piece of wire that is 50 cm long? 2. Classify each triangle by its angle measures. a) ΔBEA b) ΔDBC c) ΔABC 3. Classify each triangle by its side lengths. a) ΔPST b) ΔRSP c) ΔRPT Find the labeled side lengths of each triangle. 4. 5. Draw an example of each type of triangle or explain why it is not possible. 6. Isosceles right 7. Equiangular obtuse 8. Scalene right 9. Equilateral acute 10. Scalene equiangular 11. Isosceles acute Classify each triangle by its angles AND sides. 12. ΔABC 13. ΔACD 14. A triangle has vertices with coordinates (0, 0), (a, 0), and (0, a), where a ≠ 0. Classify the triangle in two different ways. Explain your answer. 15. Two sides of an equilateral triangle measure (y + 10) and (y2 – 2) units. If the perimeter of the triangle is 21 units, what is the value of y? 16. The average length of the sides of ΔPQR is 24. How much longer than the average is the longest side?