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vshiroky

  • one year ago

Angles, Angles, Angles

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  1. vshiroky
    • one year ago
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    |dw:1437636777764:dw|

  2. vshiroky
    • one year ago
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    Which 2 angles are supplementary? Which 2 angles are alternate exterior? Which 2 are congruent? Which 2 are corresponding? If angle 2 is 70 degrees, what is the measure of angle 1, 4, 6, 3, and 7?

  3. vshiroky
    • one year ago
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    This is my daughters homework, I'm just trying to check her answers while studying for my nursing exam lol

  4. vshiroky
    • one year ago
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    @ganeshie8

  5. ganeshie8
    • one year ago
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    Is it given that the both horizontal lines shown in the diagram are "parallel" ?

  6. vshiroky
    • one year ago
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    Yes lol I drew the best I could

  7. ganeshie8
    • one year ago
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    in geometry we use "arrow" signs to indicate that the lines are parallel |dw:1437637316997:dw|

  8. vshiroky
    • one year ago
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    Oh I guess it does have arrows I just didnt know I needed them

  9. ganeshie8
    • one year ago
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    supplementary angles are the angles that add up to 180 also these are the angles that make a "straight line"

  10. vshiroky
    • one year ago
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    so 7 and 8 would be complementary?

  11. ganeshie8
    • one year ago
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    for example, in the given diagram, angles \(1\) and \(2\) are supplementary as they form a straight line : |dw:1437637475811:dw|

  12. vshiroky
    • one year ago
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    Ok so it would be any angle like thaT? It gives her options for each one and she chose 7 and 8

  13. ganeshie8
    • one year ago
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    Yes, the angles \(7\) and \(8\) also form a supplementary pair |dw:1437637588173:dw|

  14. vshiroky
    • one year ago
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    Great. What does alternate exterior mean?

  15. vshiroky
    • one year ago
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    Her options were 1 & 3, 2& 6, 4 &7, 7 & 1

  16. ganeshie8
    • one year ago
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    as the name says, exterior means outside alternate means they are on alternate sides

  17. ganeshie8
    • one year ago
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    I'll show an example for this pair, then it becomes clear

  18. ganeshie8
    • one year ago
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    lets call the region between the two horizontal lines "interior" and the region outside as "exterior" next, notice that the angles \(2\) and \(8\) are "exterior" and are also on either side of the transversal so these form an "alternate exterior angles pair" |dw:1437637704839:dw|

  19. vshiroky
    • one year ago
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    so 7 & 1 on mine would be

  20. ganeshie8
    • one year ago
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    Yes!

  21. vshiroky
    • one year ago
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    Can you tell me what congruent is? her options are 1 & 4, 4 & 5, 1 & 5, 7 & 8

  22. ganeshie8
    • one year ago
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    "congruent" means "equal"

  23. vshiroky
    • one year ago
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    1 & 5

  24. ganeshie8
    • one year ago
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    Here is a theorem : corresponding angles are congruent when the lines are parallel

  25. ganeshie8
    • one year ago
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    |dw:1437638008666:dw|

  26. UsukiDoll
    • one year ago
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    that would mean that if we have parallel lines, then the corresponding angles are congruent (equivalent)?

  27. UsukiDoll
    • one year ago
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    ._. that was the converse of the theorem.

  28. vshiroky
    • one year ago
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    Ok so 1 & 5 is correct. Corresponding angels would be 4 & 8... Her options were 4 & 8, 4 & 6, 1 & 2, 2& 8

  29. ganeshie8
    • one year ago
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    Yes, corresponding angles are "congruent" when lines are parallel so their measures are "equal"

  30. ganeshie8
    • one year ago
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    in geometry we generally use "congruent" and "equal" interchangeably

  31. vshiroky
    • one year ago
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    I'm not the student. This is my daughters homework... I'm just trying to make sure they are right while I study for my nursing exam at the same time lol

  32. UsukiDoll
    • one year ago
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    @skullpatrol memorizing theorems can be useful...but what if they get parts of it confused with other theorems? There are a bunch of theorems out there and in Euclidean Geometry there is a truckload. emphasis on the word "truckload"

  33. ganeshie8
    • one year ago
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    |dw:1437638256448:dw|

  34. vshiroky
    • one year ago
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    If the angle 2 is 70 degrees, the measure of angle 1 is 110 degrees right?

  35. UsukiDoll
    • one year ago
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    what about 3 and 7 ? do they correspond? @ganeshie8 I'm just asking because I need to refresh my memory .

  36. ganeshie8
    • one year ago
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    Yes, because 2 and 1 are supplementary angles so they must add up to 180

  37. ganeshie8
    • one year ago
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    Yes @UsukiDoll looks there are four pairs of corresponding angles

  38. vshiroky
    • one year ago
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    Ok awesome... If the measure of angle 2 is 70 degrees, what is the measure of angle 4? it is also 70 right?

  39. UsukiDoll
    • one year ago
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    70+70 = 140 though ?

  40. vshiroky
    • one year ago
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    Right but they are both acute angles so it cant be more than 90 degrees

  41. UsukiDoll
    • one year ago
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    true...

  42. ganeshie8
    • one year ago
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    angle2 and angle4 are "vertical angles" vertical angles are always congruent, so yeah you're correct.

  43. UsukiDoll
    • one year ago
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    vertical angles?

  44. vshiroky
    • one year ago
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    If angle 2 is 70 degrees what is the measure of angle 6? its 110 right?

  45. vshiroky
    • one year ago
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    I lied its also 70

  46. ganeshie8
    • one year ago
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    angles 2 and 6 are corresponding angles corresponding angles are congruent, so they both equal 70 |dw:1437638650175:dw|

  47. vshiroky
    • one year ago
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    Ok can I post another one?

  48. vshiroky
    • one year ago
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    |dw:1437638698030:dw|

  49. vshiroky
    • one year ago
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    What is the vertical angle of angle 4? she put 2..

  50. ganeshie8
    • one year ago
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    Nope.

  51. ganeshie8
    • one year ago
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    |dw:1437638841032:dw|

  52. vshiroky
    • one year ago
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    So the vertical angel of 7 would be 8

  53. ganeshie8
    • one year ago
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    Yes

  54. vshiroky
    • one year ago
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    angle 1 and angle 3 are not congruent right? and 2 and 7 are also not congruent right?

  55. ganeshie8
    • one year ago
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    Hey wait, has the diagram changed ?

  56. vshiroky
    • one year ago
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    Lol yes sorry

  57. ganeshie8
    • one year ago
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    Okay just making sure

  58. ganeshie8
    • one year ago
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    angles 2 and 7 are called "alternate interior angles"

  59. ganeshie8
    • one year ago
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    are the horizontal liens shown parallel this time also ?

  60. vshiroky
    • one year ago
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    So they aren't congruent?

  61. vshiroky
    • one year ago
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    yes they are

  62. ganeshie8
    • one year ago
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    "alternate interior angles" are congruent when lines are parallel

  63. vshiroky
    • one year ago
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    Her question is are 1 & 3 congruent to eachother and are 2 & 7 congruent to eachother

  64. ganeshie8
    • one year ago
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    |dw:1437639119061:dw|

  65. vshiroky
    • one year ago
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    So 2 and 7 are 1 and 3 arent

  66. ganeshie8
    • one year ago
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    Yes. 2 and 7 are congruent because they form alternate interior angles pair but there is no reason for 1 and 3 to be congruent.

  67. vshiroky
    • one year ago
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    Ok great... Just 2 more questions... what do complementary angles add up to? she put 90 degrees.. What do supplementary angles add up to... she put 180

  68. ganeshie8
    • one year ago
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    Correct. I see she knows some geometry!

  69. vshiroky
    • one year ago
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    Lol yes thank you for your help!

  70. ganeshie8
    • one year ago
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    np

  71. UsukiDoll
    • one year ago
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    @ganeshie8 what happened to your medals? you had 4?

  72. ganeshie8
    • one year ago
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    hmm idk but here is what system says {"id":"ganeshie8","detailedMedals":[{"receiver":"ganeshie8","givers":["iambatman","vshiroky","UsukiDoll"],"latestMedal":"Thu, 23 Jul 2015 08:18:40 GMT","update":{"body":"Angles, Angles, Angles ","link":" http://openstudy.com/updates/55b098a6e4b04559507a768c "}}]}

  73. UsukiDoll
    • one year ago
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    where did you get that?

  74. ganeshie8
    • one year ago
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    http://openstudy.com/api/v1/users/ganeshie8/medals/0/1

  75. ganeshie8
    • one year ago
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    last two numbers `0/1` is the range of questions

  76. ganeshie8
    • one year ago
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    for example below fetches medals info for questions between 3 and 7 http://openstudy.com/api/v1/users/ganeshie8/medals/3/7

  77. ganeshie8
    • one year ago
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    questions are sorted based on time

  78. UsukiDoll
    • one year ago
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    saw it... I've done 100 XD 0 to 100 that's cool

  79. ganeshie8
    • one year ago
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    Have fun :)

  80. UsukiDoll
    • one year ago
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    oh I will I did 1700 and got to my first medal ever. XD

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