1. Learning Target: I can… Describe types of and existence of triangles

2. Types of Triangles Equilateral Triangle Isosceles Triangle Scalene Triangle All sides are equal 2 sides are equal No sides are equal

3. Which statement is always true about an equilateral triangle? A.It has 3 congruent angles. B.It has 1 right angle. C.It has exactly 2 congruent sides D.The sum of any 2 angles is 180°

4. Right Triangle Acute Triangle Obtuse Triangle Has one right angle Has all acute angles Has one obtuse angle

5. What type of triangle is shown? A.Acute B.Right C.Obtuse D.Straight

6. You try it! What would you name this triangle? a.Right isosceles triangle b.Right scalene triangle c.Right equilateral triangle d.Acute scalene triangle

7. You try it! What would you name this triangle? a.Right isosceles triangle b.Acute isosceles triangle c.Acute equilateral triangle d.Obtuse scalene triangle

9. a.Right isosceles triangle b.Acute isosceles triangle c.Obtuse Isosceles triangle d.Obtuse scalene triangle

12. A triangle has the conditions given below. What type of triangle will this make? Side Lengths: 6, 9, 10 Angles: 30°, 60°, 90° A.Right scalene triangle B.Right isosceles triangle C.Acute scalene triangle D.No triangle

13. A triangle has one angle that measures 58° and one angle that measures 32°. What kind of triangle is it? A.Isosceles B.Right C.Obtuse D.Equilateral

14. How many triangles exist with the given angle measures? 80°, 50°, 50° A.More than one triangle B.One unique triangle C.No triangle

15. Triangle Side Lengths Any side of a triangle is always ________________than the ___________ of the other two sides. http://www.mathopenref.com/triangleinequalit y.html

16. Example 1 Could a triangle have side lengths of: Side 1: 4 Side 2: 8 Side 3: 2 Tests: 1)__________ 2)__________ 3)__________

17. Example 2 Could a triangle have side lengths of: Side 1: 3 Side 2: 4 Side 3: 5 Tests: 1)__________ 2)__________ 3)__________

18. Clicker Practice A triangle can have which of the following sets of sides? A.15, 25, 45 B.4, 12, 18 C.1, 10, 20 D.6, 9, 14

19. 3)

20. 4) Two sides of an isosceles triangle measure 3 and 7. Which of the following could be the measure of the third side ? A.9 B.7 C.3 D.12

21. 5) Is it possible to draw a triangle with a 90˚ angle and one leg that is 4 inches long and one leg that is 3 inches long? If so, draw one. Is there more than one such triangle?

22. 6)Jenna is drawing a blueprint of the stage for the school show. The stage will be in the shape of a triangle. Two sides of the triangle measure 12 and 15 feet respectively. What is the range of the whole-number lengths for the third side of the triangle? A)Side 1 + Side 2 > Side 3 B)Side 2 + Side 3 > Side 1 C)Side 1 + Side 3 > Side 2 3 ft < side 3 < 27 ft

24. Serena is drawing a blueprint of the stage for the school show. The stage will be in the shape of a triangle. Two sides of the triangle measure 9 and 16 feet respectively. What is the range of the whole-number lengths for the third side of the triangle? A.Between 7 and 25 B.Between 7 and 24 C.Between 8 and 24 D.Between 8 and 25

25. Write the range of possible distances from the school to the park. EXIT

26. Learning Target: I can… Construct triangles and quadrilaterals based on given conditions

27. EXAMPLE Construct an equilateral triangle with sides of 5. Does this result in a unique triangle, more than one triangle, or no triangle?

28. Construct a triangle with sides of 3 and 5. Does this result in a unique triangle, more than one triangle, or no triangle?

29. Construct a triangle with sides of 2, 5, and 9. Does this result in a unique triangle, more than one triangle, or no triangle?

30. Construct an isosceles triangle with two angles of 45°. Does this result in a unique triangle, more than one triangle, or no triangle?

31. Quadrilaterals

32. EXIT How many triangles exist with the given angle measures? 40°, 50°, 90° A.More than one triangle B.One unique triangle C.No triangle