1. ~Write one sentence explaining what answer you chose. ~Write one sentence explaining what answers you were able to eliminate.

3.  The word polygon means many (poly) angles (gon). This includes triangles, squares, rectangles, trapezoids, parallelograms, etc…  To determine the sum of the interior angles of any polygon, use the formula: (n – 2)180; n represent the number of angles within the polygon. (3-2)180 180 (4-2)180 360 (5-2)180 540

4.  Scalene triangles have no sides and no angles that equal one another.

5.  Isosceles Triangles have two sides and two angles that equal one another.

6.  Equilateral Triangles have all the sides and all the angles equal to one another.

7.  Right triangles have one right angle.

8.  Obtuse triangles have one obtuse angle.

9.  Acute triangles have all acute angles.

10.  In a triangle, angles correspond to opposite sides. The bigger the angle, the bigger the side.

11. Obtuse Scalene Right Scalene Acute Scalene Right Isosceles Acute IsoscelesObtuse IsoscelesAcute Equilateral

12. BC is the largest AC is in the middle AB is the smallest All sides are the same AB is the largest AC = BC

13. Remote Interior AnglesExterior Angle Theorem  Remote Interior Angles are the two angles inside of a triangle that are opposite of the exterior angle.  ∠x and ∠y are remote interior angles.  Exterior Angle Theorem says that the sum of the two remote interior angles equal the exterior angle.  ∠x + ∠y = ∠w

14.  Triangle Inequality Theorem: the sum of any two sides of a triangle is greater than the third side. ∠A + ∠B > ∠C ∠A + ∠C > ∠B ∠B + ∠C > ∠A 5 + 3 > 7 5 + 7 > 3 3 + 7 > 5

15.  Below is a triangle. What are the possibilities of the value of x? 8 + 10 > x (x can’t be greater than 17) x + 10 > 8 (x can’t be smaller than 0) x + 8 > 10 (x cant be smaller than 3) x therefore can be any number between 3 and 17.

16.  Below is a triangle. What is the value of x? 2x + 3x = 100 5x = 100 x = 20

17.  Below is a triangle. What are the measures of angles 1 and 2? ∠2 = 30 + 42 ∠2 = 72 ∠1 + ∠2 = 180 ∠1 + 72 = 180 ∠1 = 108

18.  Below is a triangle. What is the measure of ∠a? 180(n-2) 180(3-2) 180(1) 180 ∠a + 36 + 57 = 180 ∠a + 93 = 180 ∠a = 87