Halloween Sales, Save Up to 50% + Free shipping
Register.com Hosting 125x125
gb
     Test     
-Dr.
com
hz

FOURTH GRADE / MATHEMATICS /BASICS of GEOMETRY 1.1

MATHEMATICS IS EASY. PROVIDED THAT ONE WORKS ENOUGH .
ENOUGH IS SKILL DEPENDENT, HAVE TO FIND "ENOUGH" FOR YOUR SIZE.

   BASICS of GEOMETRY ARE
 ♦ 
POINTS, LINE SEGMENTS, RAYS, LINES (INTERSSECTING or PARALLEL) and ANGLES.
 ♦ THEY ARE OUR BASIC BLOCKS ON THE WAY TO UNDERSTAND, ANALYZE and SYNTHESIZE SHAPES

THERE ARE TWO GOLDEN RULES:
1. THEY ARE IDEALIZATIONS FROM OUR DAILY EXPERIENCES.
2. BEING THOUGHT OBJECTS THEY MAY LEAD AMOK; SO BE CAREFUL WITH THEM.
y
1. Which of the following statements are true ?

I: A point is a pinpoint without any dimension whose exact place we somehow know.
II: A line segment is the totality of the points that are placed on the shortest way between two definite points.
III: A line is an infinite collection of line segments whose all points are connected via the shortest possible way and whose length is infinite.
IV: A ray is a half line whose beginning point we know.


In case of need for tips get the cursor on "y" or for help click at "ry1/2" .
RY1 RY2



a) I, II and IV
b) I, III and IV
c) I and III
d) all


A point is , as seen in ry1, the limiting dimensionless case of circles (or any other shape) as the dimension gets smaller and smaller .
A line segment is really the shortest distance between two points.
y
2. How many lines pass through the 7 points given below ?

!
In case of need for tips get the cursor on "y" or for help click at "ry1/2" .

RY1 RY2



a) 21
b) 20
c) 15
d) 7
From two different points passes a line.
From three different points not on a line, pass two lines.
D, E and G are on the same line .
For A there are 6 choices; After A, for B 5 choices; For C 4 ;
For D 3 choices but 2 of them are the same.
So the result should be the sum of natural numbers up to 6, minus 1
3. How many degrees is the angle with a "?" in it ?

!


a) 100
b) 120
c) 80
d) 60
The adjacent angles, in this case, form a direct angle .
4. How do we call the angle rights in the figure of question 3 ?

a) acute
b) right
c) obtuse
d) direct
The angles smaller than 90 degrees are called acute .
5. How do we call the angle lefts in the figure of question 3 ?

a) acute
b) right
c) obtuse
d) direct
The angles greater than 90 degrees are called obtuse .
6. Which of the following figures have 4 right angles ?

a) Rectangle
b) Rhombus
c) Right triangle
d) Regular pentagon
Obviously rechtangle .
7. How many intersection points are possible between these 3 lines ?

!


a) 0
b) 1
c) 2
d) 3
Parallel lines do never intersect (or they intersect at infinity) .
8. How many intersection points are possible between these 7 all nonparallel lines ?

!


a) 21
b) 7
c) 49
d) infinitely many
A line can not intersect itself.
Two nonparallel lines do certainly intersect somewhere .
1st linee finds 6 lines to intersect, next finds 5, next 4 ... .
Since no parallel lines no. of intersection points 1+2+3+4+5+6
9. How should the rays A, B, C, D and E be ordered from longest to shortest ?

!


a) A, B, C, D, E
b) all of equal length
c) E, D, C, B, A
d) all infinite, can not be ordered.


There may be order of infinities ... .
S
10. How should the line segments on the figure be ordered from longest to shortest ?

!

a) |EE'|>|BB'|<|DD'|<|AA'|<|CC'|
b) |EE'|>|BB'|>|DD'|>|AA'|>|CC'|
c) |EE'|<|BB'|>|DD'|<|AA'|>|CC'|
d) |EE'|>|BB'|>|DD'|>|AA'|<|CC'|
Be careful with DD' and AA' .
11. Which coupling is improper ?

!


a) 1 <=> W
b) 2 <=> X
c) 3 <=> X
d) 4 <=> Z
Just to teach . Some people tend to use a notation inheriting from set thory (open, half open and closed sets). They prefer [AA'] , [BB') and (CC').
12. Which are congruent and which are similar ?

!
a) all are congruent, AA' and BB' are similar.
b) AA' and BB' are congruent, all are similar.
c) all are congruent, AA' and BB' are equal.
d) AA' and BB' are equal, all are similar.
congruent is equal in size and shape .
similar is equal in shape .
13. How many degrees is the angle with the question mark in ?

!
a) 108
b) 110
c) 120
d) 118
The adjacent angles to it are 62 degrees .
14. How many degrees is the angle with the question mark in ?

!
a) 108
b) 92
c) 105
d) 95
62 degrees show that DC and BA are parallel .
Then BC intersects two parallel line segments .
15. It is given that the sum of the smaller (mostly acute) angles, within the area covered by green rectangle, towards right and left are equal.
How many degrees should the measure of the angle containing "?" be ?

!


a) 30
b) 28
c) 20
d) 22
The statement given will be proven later but towards left we have 62 deg. and 50 deg. and towards right 92 deg. and the angle with question mark .
16. Which script may indicate the measure of the angle ACB ?

!


a) only I
b) I and II
c) I , II and III
d) all
All may but we will use I and III for their simplicity .
17. If it is additionally known that m(< AOD) = 55 degrees, what should the measure of the angle COB be in degrees ?

!


a) 65
b) 60
c) 55
d) 75
They all add up to 180 degrees .
18. Which of the followings can not be said based on the figure below ?

!


a) BA is a line segment
b) m(< O) = 60 degrees
c) C is a vertex
d) BA can not bisect both of the other rays
At a vertex at least two lines cross .
19. Given two acute angles < A and < B with m(< A) + m(< B) = 153 degrees and
m(< A)=2 x m(< B).
Which choice gives m(< B) in degrees ?

a) 51
b) 47
c) 55
d) 61
3 x m(< B) = 153 => m(< B) = ...
20. How many times the hands of a clock constitute a right angle in a day ?

a) 2
b) 24
c) 22
d) 44
Till the hour-hand makes two turns the vane makes makes 24 full turns.
If the hour-hand stood still, there would be 2x24 = 48 right angles.
21. How many endpoints do two line segments,three lines and 3 rays minimally have ?

a) 6
b) 7
c) 3
d) 2
One endpoint may be common between 2 line segments .
Rays may use the 3 endpoints of the line sagments as endpoints.
y
22. What measure have the angles with a question mark in ?

In case of need for tips get the cursor on "y" or for help click at "ry1/2".

RY1 RY2



a) 20
b) 30
c) 25
d) 35


Sum of them must be 50 deg. and they are equal. Look please at ry1 .
23. Which of the followings is true ?

Answer this and the following 2 questions referring to the figure below.


a) BD contains only 3 points
b) DB bisects CA
c) OA and OC are not parts of opposite rays
d) |DO| = |OB|
Any part of a line has infinite no. of points .
24. Which of the followings is true ?

a) |OA| and |OC| are the same
b) the measures of the filled angles are equal
c) DC is perpendicular CA
d) DC is a ray
Interior opposite angles are equal .
25. Which of the followings is false ?

a) |OA| + |OC| = |DO| + |DB|
b) |OA| + |OC| = |AC|
c) |DO| + |OB| = |DB|
d) OC is a line segment
Which is FALSE is being asked .
This is the feedback!

THANK YOU FOR YOUR VISIT; HOPE WE COULD BE OF USE.
FOR MUTUAL BENEFIT YOU MAY USE OUR FORUM.
© 2011 , Ä°smail GERMAN. ALL RIGHTS RESERVED
PLEASE PREFER GIVING LINK IF THAT SUFFICES

Share |


  
=> test-dr.com
  Logout
   Login


Test-Dr.com
GOOD SITE





Test-Dr.com
USEFUL SITE

VoltRank: Link Exchange
Get our toolbar!

Alexa Site Audit
1.0" LCD A2DP Bluetooth MP3 Player FM Transmitter with Caller ID Handsfree (SD/MMC/USB/2.5mm) for $14.81 + Free shipping

Card Reader MP3 Player With TF Card Support/Clip Design for $8.96 + Free shipping

USA Today

New York Times

Los Angeles Times

Times

Time (Magazine)

Newsweek (Magazine)

Nature
Think You Can Teach Abroad
Register.com SEO 300x250 banner
cheap removals
wolverhampton
house moving
The key to good SEO
rankings is lots of
quality backlinks
Dim Laptop Screen
Dim Laptop
Screen Troubleshoot
Jewelry Logo Casting
custom designs, logo
rubber mold &master
What is right?
What is decent?
...The Truth