Pre-Algebra Enrichment

1. 5-1 to 5-5 Review Pre-Algebra Enrichment

2. Classifying Angles • Acute angle- An angle that measures less than 90 degrees. • Obtuse angle- An angle that measures more than 90 degrees and less that 180 degrees. • Right Angle- An angle that measures 90 degrees.

3. Question #1If an angle is 180 degrees it is a(n)… • Right Angle • Straight Angle • Obtuse Angle • Acute Angle

4. Sorry! Your answer was incorrect, please try again!

5. Correct! Great job! It is a straight angle. Please continue.

6. Classifying Triangles (based on sides) • Equilateral Triangle- A triangle with three equal sides • Isosceles Triangle- A triangle with at least two equal sides • Scalene Triangle- A triangle with no equal sides

7. Classifying Triangles (based on angles) • Right Triangle- A triangle containing a right angle • Acute Triangle- A triangle that has three acute angles • Obtuse Triangle- A triangle that has one obtuse angle and two acute angles • Equiangular Triangle- A triangle that has three equal angles

8. Question #1AIf a triangle has three equal sides it is called… • Equiangular • Equilateral • Isosceles • Scalene

9. OOPS! Sorry, that was incorrect, you better review your triangle information and then try again!

10. Congratulations! You know your stuff! Continue on to further test your triangle knowledge.

11. Question #2A triangle with an angle greater than 90 degrees is called… • An acute triangle • An isosceles triangle • An obtuse triangle • A right triangle

12. Sorry! Your answer was incorrect, please try again!

13. Correct! Great job! It is an obtuse triangle. Please continue.

14. Question #3What kind of triangle is this: • Right Triangle • Scalene Triangle • Neither Right or Scalene • Both Right and Scalene

15. Incorrect! Please try again! Remember to look at both the sides and the angles!

16. Correct! Great job! The triangle is both right and scalene.

17. General Triangle Properties • Triangles are three-sided polygons. • All triangles have an angle sum of 180 degrees based on the Triangle Sum Theorem.

18. Question #4A triangle with 4 sides must have an angle sum of: • 180 • 360 • 240 • A triangle cannot have 4 sides.

19. OOPS! You better look back over the material!

20. Excellent! You can't be fooled! No triangle can have 4 sides!

21. Question #5What is the angle sum of: • 360 degrees • 180 degrees • 270 degrees • There is no way of knowing what the angle sum is.

22. Sorry! You better try again!

23. Great Job! Correct, no matter what the triangle, the angle sum will always be 180 degrees!

24. Angle Pairs: • Complementary Angles- angles that have measures that add to 90 degrees. • Supplementary Angles- angles that have measures that add to 180 degrees.

25. Question #6The following angles are considered… • Complementary • Supplementary • Complementary and Supplementary • None of the Above

26. Incorrect Sorry that is incorrect, remember the definitions that you learned.

27. Correct! Great Job! The answer is complementary.

28. Question #7A 6 sided figure is called what and has a degree measure of what? • Hexagon, 540 • Hexagon, 720 • Heptagon, 540 • Heptagon, 720

29. OOPS! Thats not right! Please try again!

30. Excellent! You are correct! It is a hexagon with an angle sum of 720 degrees.

31. Congruency • Congruent is another word for equal.

32. Question #8The second angle of a triangle is two times the measure of the first angle. The third angle is 3 times the measure of the second angle what is the measure of each angle? • 1st- 30º, 2nd- 60º, and 3rd- 90º • 1st- 20º, 2nd- 40º, and 3rd- 120º • 1st- 20º, 2nd- 60º, and 3rd- 100º

33. Sorry! That answer is incorrect, you better try again!

34. Great Job You are right!

35. Question #9If two sides of a triangle are said to be congruent that means that they are different lengths. True or False. • True • False

36. Incorrect Are you sure this statement is true?? Please try again!

37. Correct Great Job! The sides would be the same if they were congruent, not different!

38. Transversals of Parallel Lines • A transversal is a line that intersects any two or more other lines. • When a transversal intersects parallel lines the angles formed have the following properties: 1. All acute angles formed are congruent. 2. All obtuse angles formed are congruent. 3. Any acute angle is supplementary to any obtuse angle formed.

39. Question #10What types of angles are 4 and 6? • Corresponding Angles • Alternate Interior Angles • Alternate Exterior Angles

40. OOPS! You better look back over the material! Please try again!

41. Excellent! Great Job! The angles are Alternate Interior Angles.

42. Question #11What types of angles are 2 and 6? • The angles are alternate • interior. • The angles are corresponding. • The angles are vertical. • Not enough information.

43. Wrong Answer Look more carefully, please try again!

44. Correct Great Job! The angles are corresponding.

45. Question #12What types of angles are 1 and 7? • Vertical Angles • Corresponding Angles • Alternate Exterior Angles • Alternate Interior Angles

46. OOPS! This is not the correct response. You better look back over the material.

47. Great Job! You cannot be tricked! These angles are alternate exterior angles.

48. Slope The slope of any line is: Vertical Change Horizontal Change Which is the same as: Rise Run

49. Question #13What is the slope of the top line? • 1 • -1 • 2 • -2

50. Incorrect This is not the right response. Please try again.