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FOURTH GRADE / SYMMETRY 4.1 / SYMMETRIC FIGURES

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

  
WE WILL SEE THREE TYPES of SYMMETRIES:

 ♦ 
1- SYMMETRIES with respect to A LINE or PLANE .
 ♦ 2- TRANSLATIONAL SYMMETRY .
 ♦ 3- ROTATIONAL SYMMETRY .


THEY ARE REALLY of USE .
y
1. How many symmetry axis is the following figure likely to have ?

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



a) 20
b) 10
c) 5
d) 0


The question refers to the full (uncut) figure. Do not forget the axis in between as you see in ry1 .
y
2. How many symmetry axis does the following figure have ?

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

RY1 RY2



a) 6
b) 3
c) 1
d) 0
Symmetries are broken somehow due to color or up/down matters .
3. Which one is the symmetric of the "figure" with respect to a line ?

!
a) A
b) B
c) D
d) C
Line symmetry is mirror image .
4. Why is the symmetry broken ?

!


a) one of the antennae fails and the upper half is bit smaller
b) one of the antennae fails
c) the upper half is bit smaller
d) it is not broken
It should be pretty easy to see .
5. What is the ratio of number of line of symmetries of the second and first figures ?

!


a) ∞
b) 0
c) 1
d) 4
"Number of line of symmetries of a parellelogram / Number of line of symmetries of a rhombus" is being askec .
6. What is the number of line of symmetries of the rhombus of the figure of question 5 ?

!


a) 2
b) 4
c) 1
d) 0
It is more than 2 .
ClickN KIDS Beginning Reading & Spelling Programs Teacher Created Resources ClickN KIDS Beginning Reading & Spelling Programs
7. How many vowels of the english alphabet (excuding "Y") have normally a line of symmetry if written in capital form ?

!
a) 2
b) 3
c) 4
d) all
"Y" may sometimes take the role of a vowel and is here ecluded .
8. How many consonants of the english alphabet have normally a line of sym- metry if written in capital form ?

!
a) 9
b) 10
c) 11
d) 12
Have a look at the given figures and think of their Times New Roman form.
B (horizontal), C (h.), D (h.), H (h.), K (h.), M (vertical), S (h.), T (v.), V (v.), W (V.), X (h. & v.) .
9. How many digits of us have normally a line of symmetry ?

!
a) 1
b) 2
c) 3
d) 4


The 10 digits of us (arabic numerals) are given in the figure .
10. How many of the roman numerals have normally a line of symmetry ?

!


a) 7
b) 4
c) 5
d) 6
L has none .
11. Which of the following figures (right or left) has more axis of symmtry ?

!


a) the left one
b) the right one
c) none
d) they have equal
at first look they seem to have equal number of symmetry axes .
12. How many symmetry axes does the following figure have ?

!


a) 2
b) 1
c) 0
d) many
It could have 2 but ... .
13. What can be said about the left-right symmetry of Taj Mahal ?

!


a) perfect
b) none
c) failing
d) almost
Not geometrically symmetric but ... .
14. Which colors fail for symmetry ?

!


a) green, blue and red
b) none
c) red and blue
d) red and green
They are also called main colors .
15. Which is the mirror symmetric of the "Figure" in the figure below ?

!


a) II
b) III
c) I
d) IV
In the vertical direction .
16. How many axis of symmetry does this figure have ?

!


a) 0
b) 3
c) 6
d) 10
Look southeastern region of the figure carefully .
17. How many of the faces are perfectly symmetric ?

!


a) 3
b) 6
c) 12
d) none
The second figures are made perfectly symmetric but have a look at the reference given .
18. How many mirror images are there in the figure ?

!


a) 4
b) 3
c) 1
d) 2
Be careful abour A and T, Consider the figures given, not their normal print forms .
19. How can the following figures be coupled according to the number of symmetry axes ?

!


a) I-IV and II-III
b) I-III and II-IV
c) I-II and IV-III
d) all
the ones having an equal number of symmetry axes ?
20. What point is the symmetric of the number 3x3x3x3 on the number axis ?

a) - -3x-3x-3x3
b) -3x-3x-3x-3
c) - 3x3x3x3
d) - 3x3x3x-3
The syymetric of a positive number is a negative number of the same magnitude .
21. A man travels in direction NE. Days he walks for 20 miles and nights he rests. The red crosses in the figure below show the places he rests.
Which colored crosses would point his resting places if he traveled NW ?

!


a) the orange ones
b) the blue ones
c) the green ones
d) the purple ones
The travel is linear and begins from the crossing point of the two axes.
y
22. The following figure shows the resting places of another traveler who walks 14 miles E before noon and 14 miles N after noon. The distances he traveled may be coded as (E:14 , N:14) , (E:14 , N:14) , (E:14 , N:14) , (E:14 , N:14) , (E:14 , N:14) , (E:14 , N:14) .
Which of the followings would be the code of his travel if he traveled NW ?

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

RY1 RY2



a) (W:4,N:14) , (W:4,N:14) , (W:4,N:14) , (W:4,N:14) , (W:4,N:14) , (W:4,N:14)
b) (W:14,S:14) , (W:14,S:14) , (W:14,S:14) , (W:14,S:14) , (W:14,S:14) , (W:14,S:14)
c) (W:14,N:14) , (W:14,N:14) , (W:14,N:14) , (W:14,N:14) , (W:14,N:14) , (W:14,N:14)
d) (W:4,N:4) , (W:4,N:4) , (W:4,N:4) , (W:4,N:4) , (W:4,N:4) , (W:4,N:4)


His path would be and its symmetric are shown in ry1.
23. Where would another traveler who travels twice as fast using the same method after his first day of traveling (coded the same way) be and which point were its symmetrical ?

a) (E:14,N:14) and (W:14,N:14)
b) (W:28,W:28) and (W:28,N:28)
c) (E:28,N:28) and (W:28,S:28)
d) (E:28,N:28) and (W:28,N:28)
He would be at the second day resting location of the previous traveler .
24. If the traveler always travels first horizontally and then vertically we could avoid directions (E and N) and could make use of order. We could write (14,14) for the actual travel.
What should we do to show the symmetrical point (with respect to the vertical axis) of (14,14) in this case ?

a) use (-14,14)
b) use the same notation
c) use directions again
d) use (14,-14)
We normally consider the direction of the arrow positive .
25. What would be total effective code for the 6 day travel, at which point would the traveler rest ?

a) (84,98)
b) (98,98)
c) (84,84)
d) (84,88)
It is the point which a fast traveler 6 times as fast would be after the first day .
This is the feedback!

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

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