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## Why should students use compass and straightedge?

It has been shown that students the use a compass and straight edge do better in math and retain what they have learned. ‌There is no need for students to use a compass and straightedge, and all geometric constructions should be done using a drawing program.

## Why do valid straightedge and compass moves guarantee everyone will produce the same construction?

“Why do valid straightedge and compass moves guarantee everyone will produce the same construction?” (There is never any estimating or eyeballing required. You are only ever using your tools to do one specific move.)

Galileo

## Who invented the first compass?

The compass was invented in China during the Han Dynasty between the 2nd century BC and 1st century AD where it was called the “south-governor” or “South Pointing Fish” (sīnán 司南). The magnetic compass was not, at first, used for navigation, but for geomancy and fortune-telling by the Chinese.

## How do you construct a geometric mean?

compass and straightedge construction of geometric mean

1. Draw a line segment of length a .
2. Extend the line segment past C .
3. Mark off a line segment of length b such that one of its endpoints is C .
4. Construct the perpendicular bisector of ¯¯¯¯¯¯AB ⁢ in order to find its midpoint.
5. Construct a semicircle with center M and radii ¯¯¯¯¯¯¯AM ⁢ and ¯¯¯¯¯¯¯BM ⁢ .

## Why geometry is important in our life?

Geometry allows students to connect mapping objects in the classroom to real-world contexts regarding direction and place. Understanding of spatial relationships is also considered important in the role of problem solving and higher-order thinking skills.

## Is geometry easy or hard?

While geometry is probably harder than algebra 1, it’s tough to say if it’s more “difficult” than algebra 2.

## Is Trig harder than geometry?

To do well in geometry, you need to keep up with the theorems and definitions, and learn to show every step of your work. Algebra 2/trig is a bit harder. But it is not that bad, as long as you keep up with your work DAILY. I found geometry easier than any of the other math courses in high school.

## Should I take calculus or statistics first?

With the exception of math majors, most first-year college students would be far better off taking a statistics course rather than a calculus course. A student who understands statistics has an advantage over those who do not.

2020-10-17