1. Kaja Haugen

2. Angles (0-10 pts.) Describe supplementary, complementary and vertical angles. Give at least 3 examples of each. Supplementary angles: Two angles that add up to 180 EX/ a b d e X Z a+b=180 d+e=180 x+z=180 Complementary angles: Two angles that add up to 90 EX/ c d f g k e c+d=90 f+g=90 k+e=90 Vertical angles: Opposite angles when two straight lines intersect. They are always equal. EX/ n g b a b d

3. Special about angles (0-10 pts.) Describe corresponding, alternate interior, alternate exterior and same-side interior angles. What is special about these angles when lines are parallel? Give at least 3 examples of each. Corresponding angles are 2 angles in the same position when 2 lines are cut by transversal. EX/ h f n g h k Alternate interior angles are on opposite side of the transversal, inside the 2 lines. EX/ j m c x h s Alternate exterior angles are on opposite side of the transversal, outside the 2 lines. EX/ j g z d j k Same-side interior angles are 2 angles on the same side of the transversal, inside the 2 lines. EX/ f s k j I g What is special about these angles when lines are parallel is that the angles are always equal.

4. 6 different triangles (0-10 pts.) What are the 6 different types of triangles? Give at least 3 examples of each. Isoceles: 2 equal sides Acute: 3 angles are all acute (an acute angle is an angle that is under 90 ) Scalene Triangle: 3 different lengths, no sides are equal Equilatrial: All sides are equal Right triangle: Has 1 right angle (a right angle is an angle with 90 ) Obtuse: Has 1 obtuse angle. Obtuse means that the angle is over 90

5. Three interior angles related (0-10 pts.) Explain how the three interior of a triangle are related. Give at least 3 examples. They are related in a way that they always add up to 180. h 60 b a 90 n a+b+60=180 h+n+90=180 60 60 m m+60+60=180

6. Exterior and interior angles (0-10 pts.) What is the relationship between an exterior angle of a triangle and the interior angles? Give at least 3 examples. The relationship between an exterior angle of a triangle and the interior angles is that they are always equal because they are vertically oposite. A EX/ Exterior A A C B C B EX/ Interior a a a c b c b c b A=a B=b C=c

7. Isosceles triangle (0-10 pts.) Explain the special properties of an isosceles triangle. Give at least 3 examples. The special properties of an isosceles triangle is that it has always two equal sides. It has also 2 acute angles. EX/

8. Polygon, convex and regular (0-10 pts.) Describe what a polygon is including how they are classified (named), what convex means and what regular means. Give at least 3 examples of each. A polygon is a closed shape made by 3 or more straight lines that don’t intersect. Classified: How they are classified is after the number of sides:  3-triangle  4-quadrilatrial  5-pentagon  6-hexagon  7-hectagon  8-octagon  9-nonagon  10-decagon Etc… Convex is when all the corners are pointing away from center. EX/ Regular means that all sides and angles are equal. EX/

9. Quadrilaterial (0-10 pts.) Describe a quadrilateral. Give at least 3 examples. A quadrilaterial is a polygon with four sides. EX/

10. Parallelogram a special quadrilaterial (0-10 pts.) Explain what makes a parallelogram a special quadrilateral. Give at least 3 examples. What makes a parallelogram a special quadrilateral is that the opposite sides are always equal and parallel. Opposite angles are equal. Two angles are always acute and two are obtuse. EX/

11. Rectangle a special quadrilaterial (0-10 pts.) Explain what makes a rectangle a special quadrilateral. Give at least 3 examples. Opposite sides are always equal and parallel All angles are 90 It is convex, meaning that the corners (angles) point outwards. The diagonals (line(s) that go right through the shape) are always bisecting each other. EX/

12. Rhombus a special quadrilaterial (0-10 pts.) Explain what makes a rhombus a special quadrilateral. Give at least 3 examples. It is a parallelogram where all sides are equal. Diagonals are perpendicular.(meet at 90 ) EX/

13. Square a special quadrielaterial (0-10 pts.) Explain what makes a square a special quadrilateral. All sides are equal Angles are 90 EX/

14. Kite a special quadrialaterial (0-10 pts.) Explain what makes a kite a special quadrilateral. Give at least 3 examples. To sets of adjacent equal sides. Diagonals are perpendicular. 1 set of equal angles. The longer diagonal bisect the 2 angles at the vertex. EX/

15. Interior angles of any polygon (0-10 pts.) Explain how to find the sum of the interior angles of any polygon. Give at least 3 examples. First you count the number of sides of the polygon. Then you draw a line from an angle A to all the other angles in the polygon. Then you count the numbers of triangles you made by cutting the polygon. Then the last step is multiplying the number of triangles you got by 180. ((number of sides minus 2) times 180 ) EX/ 1 2 3 A A A Polygon Number of side Number of diagonals formed Number of triangls Angle sum of polygon Pentagon 5 2 33x180=360 Hexagon 6 3 44x180=720 Heptagon 7 4 55x180=900

16. To solve real world problems involving perimeter (0-10 pts.) Describe how to solve real world problems involving perimeter. How to solve real world problems involving perimeter is sometimes hard and sometimes very easy. Formula : p = 2l+2w