Geometry Survial Guide
Editors and Creators of this Wonderful Flyer
GalenThe man of the year who is the hard worker and is on task all the time. | AdamThe man of the hour who gets things done and provides encouragement to others. | Ms.HammerThe awesome teacher that gave us this treacherous task to complete by June 5th. |
Triangles and Similarity (Chapter 6)
-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
- 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.
Quadrilaterals (Chapter 7)
- 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
-Remember how the shapes are classified. (see above diagram)
- Remember your algebra rules
Things that we struggled with
-It was all somewhat easy.
Triginometry (Chapter 8)
- 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
- 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)
- 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
- 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)
- 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
- Leave answers in pi because you will have a simpler number.
- Remember your exponent rules.
Things we struggled with
- Remembering what the apothem is.
- Pyramids and cones are 1/3 the volume.
Work Cited
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What We Learned by Using Smore
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.