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Objective - To identify angles as vertical, adjacent, complementary and supplementary.            - is a flat surface that extends in all directions . Plane
B B A A D C C D Parallel Lines                          - Lines in the same plane that                            do not intersect. Intersecting Lines
Vertical Angles - Formed by intersecting lines. Opposite angles (vertical angles)  are always congruent. Adjacent Angles ,[object Object],vertex and side.
Complementary Angles - Angles whose sum is 90 . a b Complementary  angles may not be adjacent. x y
Find the measure of the missing angle. x
Find the complement of the angle measures below. 1)  20 5)  15 70 75 2)  59 6)  57 31 33 3)  50 7)  43 40 47 4)  62 8)  100 28 Has no  complement
Supplementary Angles - Angles whose sum is 180 . k t Supplementary  angles may not be adjacent. b c
Find the measure of the missing angle. y x
Find the supplement of the following... 1)  18 5)  148 162 32 2)  104 6)  62 76 118 3)  31 7)  159 149 21 1 4)  75 8) 179 105
Find the missing angles. A 1) 2) x C B y E z D
Every triangle has angles whose sum equals 180 . b c a x Objective - To use the sum of the angles of a triangle to solve problems. Solve for x.
Find the missing angle. 1) 2) y x
Two angles of a triangle are given. Find the third angle. 1) 3) 2) 4)
Decide whether a triangle can have the given angle  measures. 1) 3) 2) 4)
Objective - To classify triangles. Triangle Names Angle Name            - All angles less than 90 .            - Only One angle equal to 90 . Acute Right              - Only One angle more than 90 . Obtuse  Side Name                     - All three sides equal.                 - Two sides equal. Equilateral Isosceles                - No  equal sides. Scalene
7 7 11 Name each triangle below. 1) 3) 5 3 4 Obtuse Isosceles Right Scalene 2) 4) 3 8 9 Acute Equilateral Obtuse Scalene
7 7 10 10 11 10 Angle-Side Relationships Sides opposite congruent angles are congruent. Angles opposite congruent sides are congruent.
Name each triangle below. 5) 7) 12 5 2 5 13 8 Right Scalene Acute Scalene 6) 8) 6 6 Obtuse Isosceles Acute Isosceles
B 13 C 8 12 D 13 13 13 A 18 5 E F 10 Use the diagram below to name the following. 1) Acute Equilateral Triangle 3) Acute Isosceles Triangle 2) Right Scalene Triangle 4) Obtuse Scalene Triangle
Objective - To identify and describe the properties of quadrilaterals. Quadrilateral - Four sided figure. Parallelogram - A quadrilateral with two sets of parallel sides.
Properties of Parallelograms. Opposite sides have the same length.
Properties of Parallelograms. Opposite angels have the same measure.
Rectangle - A parallelogram that has four  right angles. Square - A rectangle will all sides the same length.
Quadrilateral 4 sided figure Parallelogram Two sets of parallel sides Rectangle Parallelogram with right  angles Square Rectangle with equal sides
, Rectangle Give all the names that apply to the figure below. Circle the most specific name. 1) 3) 6 7 10 7 Parallelogram , Quadrilateral Quadrilateral , Parallelogram , Square 14 3 3 2) 4) 6 6 3 3 8 Quadrilateral , Parallelogram Quadrilateral
Find the measures of x an y in each figure. y y 1) 3) 4 x 9 x 8 9 x = 4, y = 8 x = 9, y = 9 120 105 75 2) 4) x 10 y y x x = 75, y = 105 x = 10, y = 120
105 105 75 Find the sum of the measures of the angles and the perimeter. 26 C B 12 12 75 A D 26 Sum of the angles = Perimeter =

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Unit5

  • 1. Objective - To identify angles as vertical, adjacent, complementary and supplementary. - is a flat surface that extends in all directions . Plane
  • 2. B B A A D C C D Parallel Lines - Lines in the same plane that do not intersect. Intersecting Lines
  • 3.
  • 4. Complementary Angles - Angles whose sum is 90 . a b Complementary angles may not be adjacent. x y
  • 5. Find the measure of the missing angle. x
  • 6. Find the complement of the angle measures below. 1) 20 5) 15 70 75 2) 59 6) 57 31 33 3) 50 7) 43 40 47 4) 62 8) 100 28 Has no complement
  • 7. Supplementary Angles - Angles whose sum is 180 . k t Supplementary angles may not be adjacent. b c
  • 8. Find the measure of the missing angle. y x
  • 9. Find the supplement of the following... 1) 18 5) 148 162 32 2) 104 6) 62 76 118 3) 31 7) 159 149 21 1 4) 75 8) 179 105
  • 10. Find the missing angles. A 1) 2) x C B y E z D
  • 11. Every triangle has angles whose sum equals 180 . b c a x Objective - To use the sum of the angles of a triangle to solve problems. Solve for x.
  • 12. Find the missing angle. 1) 2) y x
  • 13. Two angles of a triangle are given. Find the third angle. 1) 3) 2) 4)
  • 14. Decide whether a triangle can have the given angle measures. 1) 3) 2) 4)
  • 15. Objective - To classify triangles. Triangle Names Angle Name - All angles less than 90 . - Only One angle equal to 90 . Acute Right - Only One angle more than 90 . Obtuse Side Name - All three sides equal. - Two sides equal. Equilateral Isosceles - No equal sides. Scalene
  • 16. 7 7 11 Name each triangle below. 1) 3) 5 3 4 Obtuse Isosceles Right Scalene 2) 4) 3 8 9 Acute Equilateral Obtuse Scalene
  • 17. 7 7 10 10 11 10 Angle-Side Relationships Sides opposite congruent angles are congruent. Angles opposite congruent sides are congruent.
  • 18. Name each triangle below. 5) 7) 12 5 2 5 13 8 Right Scalene Acute Scalene 6) 8) 6 6 Obtuse Isosceles Acute Isosceles
  • 19. B 13 C 8 12 D 13 13 13 A 18 5 E F 10 Use the diagram below to name the following. 1) Acute Equilateral Triangle 3) Acute Isosceles Triangle 2) Right Scalene Triangle 4) Obtuse Scalene Triangle
  • 20. Objective - To identify and describe the properties of quadrilaterals. Quadrilateral - Four sided figure. Parallelogram - A quadrilateral with two sets of parallel sides.
  • 21. Properties of Parallelograms. Opposite sides have the same length.
  • 22. Properties of Parallelograms. Opposite angels have the same measure.
  • 23. Rectangle - A parallelogram that has four right angles. Square - A rectangle will all sides the same length.
  • 24. Quadrilateral 4 sided figure Parallelogram Two sets of parallel sides Rectangle Parallelogram with right angles Square Rectangle with equal sides
  • 25. , Rectangle Give all the names that apply to the figure below. Circle the most specific name. 1) 3) 6 7 10 7 Parallelogram , Quadrilateral Quadrilateral , Parallelogram , Square 14 3 3 2) 4) 6 6 3 3 8 Quadrilateral , Parallelogram Quadrilateral
  • 26. Find the measures of x an y in each figure. y y 1) 3) 4 x 9 x 8 9 x = 4, y = 8 x = 9, y = 9 120 105 75 2) 4) x 10 y y x x = 75, y = 105 x = 10, y = 120
  • 27. 105 105 75 Find the sum of the measures of the angles and the perimeter. 26 C B 12 12 75 A D 26 Sum of the angles = Perimeter =