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- 2. Don’t know how to solve it? www.upcatreview.com
- 3. This tip might help you... www.upcatreview.com
- 4. Tip #25 Educated Guess If you need to make a guess then it should be an educated guess . First, eliminate the answers that you know are wrong, then try your best to establish a basis for your choice. www.upcatreview.com
- 5. If you know that... www.upcatreview.com
- 6. “ Every equilateral * triangle is equiangular ** .” * Equilateral Δ = all sides are equal ** Equiangular Δ = all angles are equal www.upcatreview.com
- 7. Then you would not choose... www.upcatreview.com
- 8. C or D www.upcatreview.com
- 11. In a multiple choice test... www.upcatreview.com
- 12. There is only one unique answer! www.upcatreview.com
- 13. If you choose, say C. equilater al , www.upcatreview.com
- 14. That means you also choose D. Equiangular ... www.upcatreview.com
- 15. Now, it is impossible that... www.upcatreview.com
- 16. Both C and D are correct! www.upcatreview.com
- 17. So you are left with only two choices... www.upcatreview.com
- 18. A or B www.upcatreview.com
- 19. What does it mean? www.upcatreview.com
- 20. When you still had four choices... www.upcatreview.com
- 21. Your chance of getting the correct answer through guessing is... www.upcatreview.com
- 22. ¼ or 25% www.upcatreview.com
- 23. After eliminating choices C and D ... www.upcatreview.com
- 24. Your chance of getting the correct answer from the two choices left becomes... www.upcatreview.com
- 25. ½ or 50% www.upcatreview.com
- 26. That simply increases your chance by 200% ! www.upcatreview.com
- 27. Now, going back to the question... www.upcatreview.com
- 29. The two choices left are... www.upcatreview.com
- 31. Again, if you still don’t know how to solve this... www.upcatreview.com
- 32. One technique is to draw a quick sketch of the triangle... www.upcatreview.com
- 34. You simply plot the vertices given (1, 1), (1, 5) and (5, 3) on the x-y plane... www.upcatreview.com
- 35. You DON’T need an accurate drawing... www.upcatreview.com
- 36. www.upcatreview.com 1 2 3 4 5 5 4 3 2 1 y x (1,1) (1, 5) (5, 3)
- 37. The triangle looks like an isosceles triangle... www.upcatreview.com
- 38. So if you really have no idea... www.upcatreview.com
- 39. You will answer... www.upcatreview.com
- 41. Now, to be more confident with your “ educated guess ”... www.upcatreview.com
- 42. Draw a horizontal line from vertex (5,3)... www.upcatreview.com
- 43. www.upcatreview.com 1 2 3 4 5 5 4 3 2 1 y x (1,1) (1, 5) (5, 3)
- 44. This line is perpendicular * to the vertical base of the triangle... * Perpendicular = makes 90 www.upcatreview.com
- 45. www.upcatreview.com 1 2 3 4 5 5 4 3 2 1 y x (1,1) (1, 5) (5, 3) This is a right angle (90 ).
- 46. This line also bisects * the vertical base... * bisector = divides into 2 equal measures www.upcatreview.com
- 47. www.upcatreview.com 1 2 3 4 5 5 4 3 2 1 y x (1,1) (1, 5) (5, 3) This two are both 2 units long.
- 48. Thus, the line is called a perpendicular bisector of the vertical base... www.upcatreview.com
- 49. And any point on the perpendicular bisector of a segment has the same distance from the endpoints of the segment... www.upcatreview.com
- 50. www.upcatreview.com 1 2 3 4 5 5 4 3 2 1 y x (1,1) (1, 5) (5, 3) This two sides are equal.
- 51. Thus, the triangle is isosceles since it has 2 equal sides. www.upcatreview.com
- 52. You can further verify this answer by using the Distance Formula ... www.upcatreview.com