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Intro to Geometry Angles Classifying Triangles.

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Presentation on theme: "Intro to Geometry Angles Classifying Triangles."— Presentation transcript:

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3 Intro to Geometry

4 Angles

5 Classifying Triangles

6 Classifying Quadrilaterals

7 Polygons & Symmetry

8 Congruent & Similar Figures

9 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500

10 What extends without end in two opposite directions?

11 A line

12 How do I write the name of this? CD

13 CD OR DC

14 How do I write the name of this? A B

15 BA

16 A B C EG Name 2 lines that are parallel

17 AC EG CA GE OR and

18 What type of lines are these?

19 Parallel lines

20 Name this 3 different ways J K L

21 JKL LKJ K

22 What is the approximate measurement of the following angle? a.60° b.95° c.140°

23 The angle is approximately 60°, because we know it is an acute angle, because it is less than 90°

24 Use estimation to name the angle whose measure is closest to the given measure: a. 90 ° b. 15 ° c. 135 ° M N O P Q R

25 a. ORM b. PRQ c. PRM

26 J K L M N O Name 2 obtuse angles from the following diagram

27 KON MOJ

28 What angles are 90°? A B C D EF

29 CFA AND CFE

30 What type of triangle is this ?

31 Equilateral triangle ~All three sides have the same length

32 What type of triangle is this ?

33 Isosceles triangle ~Two sides that are the same length

34 What type of triangle is this ? 6 in. 10 in. 2 in.

35 Scalene triangle ~All three sides are different lengths

36 What type of triangle is this? 45°

37 Right triangle ~A triangle with 1 right angle

38 Find the measurement of the missing angle, x 100° 15° x°

39 100° + 15° = 115° 180° - 115° = 65° X = 65°

40 What quadrilateral has 2 pairs of parallel sides AND 4 right angles?

41 A rectangle

42 What quadrilateral has 2 pairs of parallel sides, 4 right angles, and all 4 sides are the same length?

43 A square

44 What quadrilateral has 2 pairs of parallel sides and 4 sides that are all the same length?

45 A rhombus

46 True or false…. All squares are parallelograms

47 True All squares have 2 pairs of parallel sides

48 Which sides of this quadrilateral are parallel? A BC D

49 AD BC and

50 What is the name of the following figure?

51 A regular pentagon ~A pentagon is a five-sided closed polygon

52 Is the following figure a regular hexagon or an irregular hexagon?

53 Irregular hexagon ~All the sides are not the same length, and all of the angles are not the same measurement.

54 Classify the following polygon, and tell whether it is regular or irregular.

55 Regular octagon ~An octagon is an eight-sided closed polygon. This specific octagon has sides of all equal length, and angles are all equal measurement.

56 How many lines of symmetry does this figure have?

57 This figure has 1 line of symmetry

58 How many diagonals can be drawn from one vertex of this figure? How many triangles can be formed by these diagonals?

59 ~3 diagonals can be drawn from 1 vertex ~4 triangles are formed from these diagonals 1 2 3 4

60 6 in. 8 in. 16 in. 12 in. Are these triangles similar or congruent?

61 These triangles are similar triangles They are the same shape, but a different size

62 The following triangles are congruent. What is the value of x and y? 15 in. 12 in. x 14 in. 33° y°y°

63 Since the triangles are congruent, they have the same exact measurements. So x = 14 in. y = 33°

64 A BC D ABD and ADC are congruent. How long is CD? 31 m 20 m 45°

65 CD is 31 meters ~Since both triangles are congruent, CD will have the same measurement as BD.

66 A B C D E F ABC and DEF are congruent. List the corresponding angles.

67 The corresponding angles are: AD B E CF and

68 Are these triangles similar or congruent? Why? 20 in. 10 in. 5 in.

69 These quadrilaterals are similar, because they have the same shape, but not the same size.

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