wow

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

10. Why? 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

40. B. isosceles 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