Pythagorea Parallels Complete Level 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 2.10 2.11 2.12 2.13 1.14 2.15 2.16 2.17 2.18 2.19 solution walkthrough
Link to app:for android devices playstore: https://play.google.com/store/apps/details?id=com.hil_hk.pythagorea&hl=en
For iOS devices: https://itunes.apple.com/us/app/pythagorea-geometry-on-square/id994864779?mt=8
For iOS devices: https://itunes.apple.com/us/app/pythagorea-geometry-on-square/id994864779?mt=8
game details: Study geometry while playing on squared paper.
> 330+ tasks: from very simple to really geometric puzzles
> 25 subjects to explore
> 76 geometric terms in a glossary
> Easy to use
> Friendly interface
> Train your mind and imagination
*** About ***
Pythagorea is a collection of geometric puzzles of different kind that can be solved without complex constructions or calculations. All objects are drawn on a grid whose cells are squares. A lot of levels can be solved using just your geometric intuition or by finding natural laws, regularity, and symmetry.
> 330+ tasks: from very simple to really geometric puzzles
> 25 subjects to explore
> 76 geometric terms in a glossary
> Easy to use
> Friendly interface
> Train your mind and imagination
*** About ***
Pythagorea is a collection of geometric puzzles of different kind that can be solved without complex constructions or calculations. All objects are drawn on a grid whose cells are squares. A lot of levels can be solved using just your geometric intuition or by finding natural laws, regularity, and symmetry.
Pythagorea Level 2.1 Answer :
Pythagorea Level 2.2 Answer :
Pythagorea Level 2.3 Answer :
Pythagorea Level 2.4 Answer :
Pythagorea Level 2.5 Answer :
Pythagorea Level 2.6 Answer :
Pythagorea Level 2.7 Answer :
Pythagorea Level 2.8 Answer :
Pythagorea Level 2.9 Answer :
Pythagorea Level 2.10 Answer :
Pythagorea Level 2.11 Answer :
Pythagorea Level 2.12 Answer :
Pythagorea Level 2.13 Answer :
Pythagorea Level 2.14 Answer :
Pythagorea Level 2.15 Answer :
Pythagorea Level 2.16 Answer :
Pythagorea Level 2.17 Answer :
Pythagorea Level 2.18 Answer :
Pythagorea Level 2.19 Answer :
Feel free to comment below if you have any doubts regarding solution. I will try to help you guys. all other levels are posted on this blog please visit them too.
Re 2.16. Sorry, I can't follow your construction! I used simple ratios x=5 & y=3 therefore x=2.5 & y=1.5 therefore it is easy to construct diagonals in square Row 1, Column 5 to give the square's centre point matching 2.5 & 1.5. Can you explain your construction pleae?
ReplyDeleteThis comment has been removed by the author.
DeleteHello
DeleteAlso had problems with the suggested answer.
But here is a possible solution:
As Tim stated the slope y/x of the given line is 3/5.
Normally: If you want to make a parallel through a given point A for a given line with given slope you only have to step x to the right and y upwards from A. Then draw the line through A and the constructed point.
That's not possible here as the grid is too small. You can go only 4 max to the right and 2 up.
So let's choose 3 to the right. But how far up?
Here comes the auxiliary line. We draw it with slope 1/5 (5 right, 1 up). Then look at the intersection between the line and the second vertical grid line from the right. It also represents slope 1/5, but with 1/5 from the uppermost grid line.
So from Point A this intersection point is 3 right and 9/5 up. And so the slope (9/5)/3 makes 3/5 as wished. So draw the line between the point A and the intersection point. QED
RE 2.19, again, sorry, i can't follow your construction, please can you clarify? Thanks
ReplyDeleteThe problem for me was how to construct a gradient of x=5, y=6 whilst staying on the grid. That was until I realised that a diagonal drawn in 6 linear squares will give x=1,y=1-1/6 then x=2,y=2/6 (1/3) then x=3,y=3/6 (1/2)and so on. This gives us the ability to construct the required point as shown in the left hand column in the diag above. We're looking for a point 1/3 of a square in from the y axis on the 32nd line up from the x axis. Silly me!
ReplyDeleteSorry, for x=1, y=1-1/6 please read y=1/6!
ReplyDelete