# Geometry Survial Guide

## Geometry 2.0 BETA

There are many important ideas involved in geometry. Here are some of them.

## Triangles and Similarity (Chapter 6)

Big ideas

-If one side of a triangle is longer than another side, then the angle opposite the longer side is larger than the angle opposite the shorter side.

-If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

-The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

-If the length of the corresponding sides of two triangles are proportional, then the triangles are similar.

-If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.

## Tips and Things We Struggled With In Chapter 6

Tips
- When making proofs, make sure that they make sense and they're in order.
- When making a proportion, make sure that the right stuff is on the right sides.
-When finding the third angle of a triangle, remember that there is 180° in a triangle.

Things that we struggled with

-Remembering the correct statements for proofs.
-Finding the scale factor.

Big Ideas
- The sum of the measures of the interior angles of a quadrilateral is 360 degrees.
- If a quadrilateral is the parallelogram, then its opposite sides are congruent.
- If a quadrilateral is a parallelogram, then its opposite angles are congruent.
- If a quadrilateral is a parallelogram, then its consecutive angles are supplementary.
- If a quadrilateral is a parallelogram, then its diagonals bisect each other.

## Tips and Things We Struggled With In Chapter 7

Tips
-Remember how the shapes are classified. (see above diagram)
Things that we struggled with
-It was all somewhat easy.

## Triginometry (Chapter 8)

Big Ideas(SOH-CAH-TOA)
- SOH stands for opposite over hypotenuse.
- CAH stands for Adjacent over hypotenuse.
- TOA stands for opposite over adjacent.
- It's possible to find an angle or side measure using sine, cosine, and tangent.
- The Pythagorean theorem is aa+bb=cc.

## Tips and Things We Struggled With in Chapter 8

Tips
- When doing trigonometry, use your unit circle.
- The Pythagorean theorem is important, so remember the equation.
Things we struggled with
- Square roots
- Exponents

## Circles (Chapter 9)

Big Ideas
- A circle is defined as the set of all points in a plane that are equidistant from a fixed point called the center.
- A circle is named by its center.
- A segment whose endpoints are the center of a circle and a point on the circle is called the radius.
- All radii of the same circle are congruent.
- A segment whose endpoints are two points on a circle is called the chord.

## Tips and Things That We Struggled With in Chapter 9

Tips
- Remember that the circumference is equal to 2πr.
- Remember that the area is equal to πr^(2).
Things we struggled with
- We struggled with finding angles inside and outside a circle.
- We also struggled with finding certain arc lengths.

## Solid Figures (Chapter 10)

Big Ideas
- A polyhedron is a solid that is bounded by polygons, called faces, that enclosed a single region of space.
- A prism is a polyhedron with two congruent faces, called bases, that lie in parallel planes.
- The height of a prism is the perpendicular distance between its bases.
- In a right prism, each lateral edge is perpendicular to both bases.
- Oblique prisms have lateral edges that are not perpendicular to the bases.

## Tips and Things We Struggled With in Chapter 10

Tips
- Leave answers in pi because you will have a simpler number.
Things we struggled with
- Remembering what the apothem is.
- Pyramids and cones are 1/3 the volume.

## Work Cited

All notes and information came from MC Hammer.

Alle Notizen und Informationen stammten aus MC Hammer.

Todas las notas e información provienen de MC Hammer.

Все пометки и информация поступила от MC Hammer.

すべてのノートとの情報がMCハマーから来ました。

## What We Learned by Using Smore

How we used Smore- Smore is pretty easy to use. You just add sections to your poster with buttons on the bottom and then edit those sections. You can write stuff or add pictures or music.

What we learned about the technology- We learned that there isn't one thing to use to make presentations. We can use Prezies, Powerpoints, Smores and really anything. We aren't limited to one type of medium for a presentation.