Parallelism

demha · 2013-05-15 02:14:50

I just need help with checking these if they're right. I wasn't too sure about it. The following picture is used with #1 - #20.

In the figure below, is AB || CD:

1. If angle 4 = 60° and angle 5 = 60°? I said C
A maybe
B 15
C yes
D no
E it possibly might be
F none of the above

2. If angle 1 = 75° and angle 5 = 75°? I said B
A none
B yes
C yes if d is 42
D 75
E thank you
F no

3. If angle 5 = 30° and angle 3 = 150°? I said D
A whatever
B maybe
C if you say so
D no
E yes
F none of the above

4. If angle 4 = 80° and angle 6 = 100°? I said E
A I do not think so
B oh no I forgot
C well spock says...
Dyes
E no
F none of the above

5. If angle 2 = 140° and angle 7 = 140°? I said A
A yes
B 57
C no
D according to Einstein
E nada
F none of the above

If AB || CD:

6. What is the measure of angle 3 in degrees if angle 1 = 125°? I said F
A 26°
B 49°
C 32°
D 78°
E 42°
F 55°

7. What is the measure of angle 8 in degrees if angle 7 = 12°? I said B
A 15°
B 168°
C 98°
D 174°
E 101°
F 25°

8. With the information from problems 6 and 7, what is the measure of angle 2 in degrees? I said A
A 55°
B 67°
C 42°
D 122°
E 79°
F 19°

9. With the information from problems 6 and 7, what is the measure of angle 4 in degrees? I said A
A 125°
B 29°
C 13°
D 154°
E 55°
F 9°

10. With the information from problems 6 and 7, what is the measure of angle 5 in degrees? I said D
A 14°
B 78°
C 159°
D 168°
E 54°
F 121°

11. With the information from problems 6 and 7, what is the measure of angle 6 in degrees? I said E
A 19°
B 140°
C 25°
D 94°
E 12°
F 5°

If AB || to CD, and angle 1 = 45°:

12. Are corresponding angles equal? I said D
A nope
B 41
C pi
D yes
E 90
F none of the above

13. What is the measurement of angle 2 in degrees? I said C
A 45°
B 52°
C 135°
D 16°
E 119°
F 124°

14. What is the measurement of angle 3 in degrees? I said D
A 124°
B 16°
C 45°
D 135°
E 52°
F 119°

15. What is the measurement of angle 4 in degrees? I said E
A 16°
B 135°
C 119°
D 124°
E 45°
F 52°

16. What is the measurement of angle 5 in degrees? I said C
A 124°
B 135°
C 45°
D 119°
E 52°
F 16°

17. What is the measurement of angle 6 in degrees? I said F
A 16°
B 45°
C 52°
D 124°
E 119°
F 135°

18. What is the measurement of angle 7 in degrees? I said A

A 135°
B 52°
C 45°
D 16°
E 124°
F 119°

19. What is the measurement of angle 8 in degrees? I said D
A 124°
B 119°
C 52°
D 45°
E 16°
F 135°

If AB || to CD:

20. If angle 7 was 75°, what would angle 1 be? I said F
A 125°
B 120°
C 75°
D 135°
E 15°
F 105°

Bob · 2013-05-15 18:55:34

hi demha,

I will check these but my broadband connection is very poor at the moment. I'll probably be able to do them in about ten hours.

Bob

ShivamS · 2013-05-16 00:43:13

1 is right by TPT-Z rule.

Bob · 2013-05-16 02:39:50

hi

Back home now where the connection is good.

1. If angle 4 = 60° and angle 5 = 60°? I said C
A maybe
B 15
C yes
D no
E it possibly might be
F none of the above

Correct.

2. If angle 1 = 75° and angle 5 = 75°? I said B
A none
B yes
C yes if d is 42
D 75
E thank you
F no

Correct.

3. If angle 5 = 30° and angle 3 = 150°? I said D
A whatever
B maybe
C if you say so
D no
E yes
F none of the above

If angle 3 = 150 then angle 1 = 30 (add to 180) so ??

4. If angle 4 = 80° and angle 6 = 100°? I said E
A I do not think so
B oh no I forgot
C well spock says...
Dyes
E no
F none of the above

This is similar to Q4.

5. If angle 2 = 140° and angle 7 = 140°? I said A
A yes
B 57
C no
D according to Einstein
E nada
F none of the above

Correct.

If AB || CD:

6. What is the measure of angle 3 in degrees if angle 1 = 125°? I said F
A 26°
B 49°
C 32°
D 78°
E 42°
F 55°

Correct.

7. What is the measure of angle 8 in degrees if angle 7 = 12°? I said B
A 15°
B 168°
C 98°
D 174°
E 101°
F 25°

Correct.

8. With the information from problems 6 and 7, what is the measure of angle 2 in degrees? I said A
A 55°
B 67°
C 42°
D 122°
E 79°
F 19°

Q6 and Q7 cannot both be the angles given at the same time. With those parallels 1, 4, 5 and 8 are all the same as each other and the other four angles are 180 - this value.

9. With the information from problems 6 and 7, what is the measure of angle 4 in degrees? I said A
A 125°
B 29°
C 13°
D 154°
E 55°
F 9°

Same comment.

10. With the information from problems 6 and 7, what is the measure of angle 5 in degrees? I said D
A 14°
B 78°
C 159°
D 168°
E 54°
F 121°

and again. Something is odd here about the wording of these questions.

11. With the information from problems 6 and 7, what is the measure of angle 6 in degrees? I said E
A 19°
B 140°
C 25°
D 94°
E 12°
F 5°

same again.

If AB || to CD, and angle 1 = 45°:

12. Are corresponding angles equal? I said D
A nope
B 41
C pi
D yes
E 90
F none of the above

Correct.

13. What is the measurement of angle 2 in degrees? I said C
A 45°
B 52°
C 135°
D 16°
E 119°
F 124°

Correct.

14. What is the measurement of angle 3 in degrees? I said D
A 124°
B 16°
C 45°
D 135°
E 52°
F 119°

Correct.

15. What is the measurement of angle 4 in degrees? I said E
A 16°
B 135°
C 119°
D 124°
E 45°
F 52°

Correct.

16. What is the measurement of angle 5 in degrees? I said C
A 124°
B 135°
C 45°
D 119°
E 52°
F 16°

Correct.

17. What is the measurement of angle 6 in degrees? I said F
A 16°
B 45°
C 52°
D 124°
E 119°
F 135°

Correct.

18. What is the measurement of angle 7 in degrees? I said A

A 135°
B 52°
C 45°
D 16°
E 124°
F 119°

Correct.

19. What is the measurement of angle 8 in degrees? I said D
A 124°
B 119°
C 52°
D 45°
E 16°
F 135°

Correct.

If AB || to CD:

20. If angle 7 was 75°, what would angle 1 be? I said F
A 125°
B 120°
C 75°
D 135°
E 15°
F 105°

Correct.

Well done. You have got them all correct apart from the strange ones that depend on the information for Q6 and Q7. As you can see from all the 45 / 135 answers, once a single angle is fixed all of the others are determined too. So it is not possible to have angle 1 = 12 and angle 7 = 125 at the same time. As I say this I'm thinking there's a typo here: either both should be 125 or both should be 12. But which ?

Bob

ShivamS · 2013-05-16 02:45:46

3 is incorrect as two interior angles on the same side of the transversal are supplementary. Thus, 3 should be yes. 4 also should be yes by the same rule. Question 8 is wrongly typed as Angle 7 should equal angle 3. Thus, 9, 10 and 11 are wrong questions.

Bob · 2013-05-16 02:52:56

Picture showing angles that are equal.

Bob

ShivamS · 2013-05-16 02:55:31

Bob, I do not understand questions 8,9,10 and 11. Oh...now I see your older post. I thought I was just being stupid.

Bob · 2013-05-16 02:56:28

hi Shivamcoder3013

I see we are of like minds about questions 8, 9, 10 and 11.

I think the questions come from an on-line course that has appeared on MIF before. The quality of the questions is sometimes suspect. On a previous occasion a poster had a correct answer marked wrong ... apparently because the tutor didn't know enough maths to realise the answer sheet had an error.

Bob

ShivamS · 2013-05-16 02:57:59

Well, they look like grade 7-8 level questions. Maybe just for practice?

Bob · 2013-05-16 03:01:02

If I'm right about the course then sadly it's not practice!!! The students are assessed by on-line multi choice questions like this and given a diploma at the end of the course.

If you want to see some more like this, do a search on the member zee-f.

Bob

ShivamS · 2013-05-16 03:03:37

I saw some of zee's posts before. The course administrator's don't seem to be too official though.

Bob · 2013-05-16 03:08:05

I forget which thread, but somewhere she says what the course is called. I looked it up and it has apparently genuine accreditation leading to diplomas that are accepted by US higher institutions. Trouble is, setting the funny questions aside for the moment, how can you give someone a diploma for providing multi choice answers over the internet ???

Bob

ShivamS · 2013-05-16 03:09:28

True... Is it actually accredited? There is a possibility that the whole thing is a ploy. That, or the US education system is corrupted.

Bob · 2013-05-16 03:17:18

I'd have to look back through all those threads. The on-line site certainly claims to be genuine and I asked bobbym if the accreditation authority quoted actually exists. It does. Both of these posters are hard working and conscientious, but there could be any number of 'guests' who are riding on their success.

Give me a few hours and I'll find the name. Probably, I'll send it in a private message so they cannot sue me.

Bob

demha · 2013-05-16 12:53:22

Sorry for coming late. I have a lot of things going and it's kind of tough to keep up. For #3 & #4, my new answers are:
3. If angle 5 = 30° and angle 3 = 150°? I say E
A whatever
B maybe
C if you say so
D no
E yes
F none of the above

4. If angle 4 = 80° and angle 6 = 100°? I say D
A I do not think so
B oh no I forgot
C well spock says...
Dyes
E no
F none of the above

---

No for questions #8 - #11, I'm not quite understanding what you are pointing out here. Here is some text I will quote from my studies that explained to me (NOTE: use the picture I first provided, as they are referring to that one):
"If two straight lines. AB and CD, are cut by a third line EF, then EF is called a transversal of AB and CD. You have already studied complementary and supplementary angles--if I say that angle 1 measures at 95°, then since a line must total 180°, you know that angle 2 must measure 85°. DO NOT EVER JUDGE THE SIZE OF AN ANGLE BY THE PICTURE!! If I tell you that lines AB and CD are parallel, even though they don't LOOK like they are parallel, then for every question I ask arguing that, you must pretend they are parallel. (This is a common test trick--drawings are almost never guaranteed to be accurate, they are usually meant ONLY as visual aids.) Still working with the picture of transversal EF above, there are things you can tell about the given angles if certain information is true. No matter what the measurements are, angles 3, 4, 5 and 6 are called interior angles, because they are in between lines AB and CD. Angles 1, 2, 7 and 8 are called exterior angles. Angles 3 and 6 are called alternate-interior angles, as are angles 5 and 4. Angles 2 and 6 are called corresponding angles, as are angles 1 and 5, angels 3 and 7, and angels 4 and 8.

Also regardless of the measurements, angles 1 and 4 will be the same size, as will angles 2 and 3, angles 5 and 8, and angles 6 and 7. More than that, if I tell you that AB and CD are parallel, then all corresponding angles will be the same size. (And the corresponding angles are ONLY the same size if the lines are parallel.) Thus by knowing the measurement of 1 angle in the group, you could name the measurements of all the angles in the picture."

Here is an example they gave I will also quote:
"EXAMPLE 1: If AB || CD, and the measure of angle 1 is 50°, then what is the measure of every other angle in the image in degrees?

We know angle 1 is 50. Since angle 1 is 50, we know angle 4 is 50. Since the lines are parallel, then all corresponding angles are equal, so angles 5 and 8 are both 50 as well. Since I know the degree measurement of a straight line is 180, I know that angle 2 must measure at 130 (angle 1 and angle 2 must equal a straight line); in the same way I can discover angles 3, 6 and 7 to measure at 130. I now know the measurement of all the angles."

So based on these texts I had made my answers. If I'm still wrong, please do explain because I'm not understanding anything! And I see quite the conversation you have had Bob with Shivamcoder3013. If you have any questions regarding with the school I am registered to, I would gladly like to help in answering.

Bob · 2013-05-16 18:49:36

hi demha

Your answers for Q3 and Q4 are now correct.

You have done nothing wrong in questions 8, 9, 10 and 11. It is the questions that are wrong.

From question 6, and in order, the angles are

125, 55, 125, 55, 125, 55, 125, 55.

This is consistent with the notes ... '..by knowing the measurement of 1 angle ,.... you could name the measurements all the angles .....'

From question 7, and in order, the angles are

168, 12, 168, 12, 168, 12, 168, 12.

So how is it possible to use the information from Q6 and Q7. The information from one, does not fit with the information from the other. An angle cannot be both 125 and 168.

Even if you assume a typo and make that 12 into 125 for example, it won't make sense as the alternative answers don't work.

The answers you have chosen are the best you can do in these circumstances.

I suggest you contact your tutor and explain why you cannot properly answers those questions.

I am interested in the course you are doing. What is it called? What is the website for the school?

Bob

demha · 2013-05-17 03:07:23

Thank you very much for your help Mr. Bob! I'll be sending in my work and update you on my answers.

This is part of my Geometry Course I am now taking. The school is known as CompuHigh. It is considered the first online high school and it's actually called Whitmore School, the "online version" is called CompuHigh. Here is a link: http://www.compuhigh.com/
It should have some more information based on the school.

Bob · 2013-05-17 05:51:35

You're welcome.

I thought I recognised the Compuhigh style of questions.

I did have a look at the site after a previous encounter with a multi choice question set.

Don't forget the Maths Is Fun teaching pages at

http://www.mathsisfun.com/

There's some great educational materials there.

Bob

demha · 2013-05-17 07:20:09

Hi Bob,
I submitted my work and they're all correct! Thanks a ton for your help. I'm not too comfortable with multi choice questions because some people will just guess (don't worry, I don't!). I prefer to be served with the problem and left with figuring out the answer rather than giving me answer choices. And I saw that website, I kept asking my self if that was the same as this. But because of the design being different, I didn't think so. Thank you very much for telling me, though. I will surely look into it!

Bob · 2013-05-17 07:52:28

hi demha

I'm delighted to know you got them all correct. Well done! Your attitude to learning is excellent! I approve

The MathsIsFun main site was constructed by the same guy who administers the forum.

That's how I found the forum, by jumping from a puzzle. His skill in making the interactive bits is phenomenal; I think they make certain topics in maths so much clearer. I'm often sending posters to pages there.

Bob

Math Is Fun Forum

#1 2013-05-15 02:14:50

Parallelism

#2 2013-05-15 18:55:34

Re: Parallelism

#3 2013-05-16 00:43:13

Re: Parallelism

#4 2013-05-16 02:39:50

Re: Parallelism

#5 2013-05-16 02:45:46

Re: Parallelism

#6 2013-05-16 02:52:56

Re: Parallelism

#7 2013-05-16 02:55:31

Re: Parallelism

#8 2013-05-16 02:56:28

Re: Parallelism

#9 2013-05-16 02:57:59

Re: Parallelism

#10 2013-05-16 03:01:02

Re: Parallelism

#11 2013-05-16 03:03:37

Re: Parallelism

#12 2013-05-16 03:08:05

Re: Parallelism

#13 2013-05-16 03:09:28

Re: Parallelism

#14 2013-05-16 03:17:18

Re: Parallelism

#15 2013-05-16 12:53:22

Re: Parallelism

#16 2013-05-16 18:49:36

Re: Parallelism

#17 2013-05-17 03:07:23

Re: Parallelism

#18 2013-05-17 05:51:35

Re: Parallelism

#19 2013-05-17 07:20:09

Re: Parallelism

#20 2013-05-17 07:52:28

Re: Parallelism

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