1. 9-3: Classifying Polygons Logic Activity

2. I am a trapezoid I have two angles that each measure 45˚ I have two other angles that each measure 135˚ #1) Do I Exist? Explain why or why not!

3. Yes! A trapezoid can have 2 acute angles and 2 obtuse angles, as long as the angles add up to 360˚. 135(2) + 45(2) = 360˚ #1) Answer:

4. #2) Do I Exist? Explain why or why not! I am a parallelogram I have angles measuring: 100˚, 105˚, 65˚, and 90˚

5. #2) Answer: No! Parallelograms need to have two pairs of equal angles.

6. I am a rhombus, quadrilateral, and parallelogram all at the same time! #3) Do I Exist? Explain why or why not!

7. #3) Answer: Yes! A rhombus is a quadrilateral because it has 4 sides. A rhombus is a type of parallelogram with 4 equal sides.

8. I have to be a square if I’m a parallelogram and all of my sides are the same length. #4) Do I Exist? Explain why or why not!

9. #4) Answer: No! I could also be a rhombus!

10. I am a scalene triangle with angles measuring: 75˚, 35˚ and 70.5˚ #5) Do I Exist? Explain why or why not!

11. #5) Answer: No! The sum of the angles exceed 180˚ and a triangle measures exactly 180˚ inside.

12. I am a scalene triangle with side lengths of 14 inches, 4 inches, and 2 inches. #6) Do I Exist? Explain why or why not!

13. #6) Answer: No! If you draw the triangle, the sides cannot connect with the given measurements!

14. I am an isosceles triangle with angle measurements of: 50˚, 50˚ and 80˚ #7) Do I Exist? Explain why or why not!

15. #7) Answer: Yes! Isosceles triangles need to have 3 angles which add up to 180˚ Two of the angles need to be congruent

16. I can be a rectangle, parallelogram, quadrilateral, and a regular polygon all at the same time. #8) Do I Exist? Explain why or why not!

17. #8) Answer: Yes! A rectangle is 4-sided A rectangle has opposite angles and sides congruent A rectangle has both pairs of opposite sides parallel

18. All rectangles are squares. #9) Do I Exist? Explain why or why not!

19. #9) Answer: No! A rectangle may not be a square because all of the sides may not be congruent

20. All squares are rectangles. #10) Do I Exist? Explain why or why not!

21. #10) Answer: Yes! A rectangle is a parallelogram whose sides intersect at 90° angles. A rectangle is a parallelogram with opposite sides congruent.

22. A square is a rhombus. #11) Do I Exist? Explain why or why not!

23. #11) Answer: Yes! A square is a four-sided shape A square has all sides congruent Opposite sides are parallel Opposite angles are equal

24. A trapezoid can be a parallelogram. #12) Do I Exist? Explain why or why not!

25. #12) Answer: No! A trapezoid does not have two pairs of parallel sides, only one.

26. Every parallelogram is made up of two triangles. #13) Do I Exist? Explain why or why not!

27. #13) Answer: Yes! 180˚ + 180˚ = 360˚ Draw any quadrilateral, and you can divide it into 2 triangles