Visualization is very important in life. When you visualize things, you understand them better. Visualizing complex Geometry problems leads to answers in an easy way and let us see how it can be.
Keys to visualizing problems
When you start to visualize a problem, you need to pull out the important information .Suppose you make a crane in origami, you should not start with the history of crane. You should understand its parts, how a crane looks like and follow some samples like pictures and complete your process.
The second key is to draw out the whole process. You need to fold things and see whether the final output looks like a crane. This is how you try visualizing an object and work on it. As far as Math problems are concerned, you need to look into every detail, visualize the process and bring out the final product. This is more in the case of Geometry problems.
Example
Let us do the following word problem.
I have a square plot of land. I have fenced my plot on all sides. My next door neighbor has a rectangular plot which has the same dimensions as mine. He wants to fence his plot and when he does so, he can find some portion of his plot being already fenced. What percentage of plot I have fenced for him?
Well, let us approach this problem through the two keys to visualizing the problem
Key no 1. Pulling out information
The main points to be noted in this word problem are
- I have a square plot
- I have fenced it
- My next door neighbor has a rectangular plot which has the same dimensions of my plot
- He also wants to fence his plot
The important information you derive out of these points is
- I and my neighbor have plots which have the same dimensions
- My neighbor’s plot is mentioned as a rectangle and mine is a square. Because our plots have the same dimensions, my neighbor’s rectangular plot is also a square. (Square is a particular type of rectangle).
- My neighbor is next door to me and so his plot is just next to mine.
Key no 2: Drawing out
First I draw a square plot and call it mine.
Next, I draw one more with the same dimension adjacent to it and call it my neighbor’s.
I paint my plot with blue color on all four sides and that of my neighbor with green color.
Now, my plot has colors on all four sides (meaning all four sides are fenced) and my neighbor has one side colored blue and other three sides green. Thus, he needs to fence only three sides of his plot.
So, it is clear that I have done 25% of fencing for my neighbor by fencing one of the four sides of his plot.
This is a simple example for visualizing Geometry problems. You can contact online Geometry tutor for tricky areas in problem solving. Further, you need Geometry assignment help and Geometry homework help for doubtless subject insights and mounting scores in Geometry.
