- Or create your own photobook in seconds.
- Create now!

Hello, you either have JavaScript turned off or an old version of Adobe's Flash Player.
Get the latest Flash player.

S: MATH SCRAPBOOK

BC: Geometry Scrapbook | Jarred Stanford | Mrs. Peays Class

FC: Geometric Termoil | Jarred Stanford | Period:Second | Date:11/14/2012

1: Table of Contents | Title Page Table of contents:Page 1 Geometry Basics:Pages 2-3 Angles and their measures:Pages 4-5 Angles and Segment Bisectors:Pages 6-7 Complementary,Supplementary, and Vertical angles:Pages 8-9 Parallel Lines and Angles formed by transversals:Pages 10-11 Perpendicular Lines:Pages 12-13 Triangles (classifying, angle measurements, etc):Pages 14-15 Pythagorean Theorem and Distance Formula:Pages 16-17 Congruent Triangles (including the 5 ways to prove congruency):Pages 18-19 Polygons (Parallelograms, rhombuses, rectangles and squares):Pages 20-21 Geometric Terms of Choice: Pages 22-23

2: Finding and Describing Patterns | Diamond/Triangle/Diamond/Triangle | This is an example of a Visual Pattern | Geometry Basics | Real World Relation:

3: Points,Lines,and Planes | A point has no dimension. It is represented by a dot | A line has one dimension. It extends in two directions. It is represent by a line with two arrows | A plane has two dimensions. It is represented by a shape that looks like a floor or wall. | This picture represents 2 of 3. Point B, Point C and Point A are all Points. Plane M is a Plane. | Real World Relation: | The Outside lines are Lines | Segments and Their Measures | The real number that corresponds to a point is the coordinate. | A segment consist of endpoints. It is formed by a line with points on each side | Segment | Real World Relation

4: Angles and Their Measures | An Angle consist of two rays that have the same endpoint | The rays are the sides of the angle | The endpoint is the vertex of the angle | Acute: Measure is between 0 and 90 degrees | Obtuse: Measure is between 90 and 180 degrees | Right: Measure is 90 degrees | Straight: Measure is 180 degrees

5: EXAMPLE | Real World Relation:

6: Angles and Segment Bisectors | Definitions | A segment bisector is a segment,ray,line, or plane that intersects a segment at its midpoint. To bisect a segment means to divide the segment into two congruent segments | An Angle Bisector is a ray that divides an angle into two angles that are congruent.

7: Segment Bisector | In this photo the 2 Highlighted hands of the clock are shown easily. In the middle of these hands is another faded line. This is a real life example of a angle bisector. | Segment OE bisects Segment JN with the midpoint S | In this photo Ray BD bisects Angle ABC.

8: Complementary, Supplementary, and Vertical Angles | Definitions | Two angles are complementary angles if the sum of their | measures adds up to 90 degrees. | Two angles are supplementary angles if the sum of their | measures adds up to 180 degrees. | Two angles are vertical angles if they are not adjacent and | their sides are formed by two intersecting lines.

9: Real example of a supplementary angle

10: DefINITIONS | Parallel Lines and Angles formed by transversals | Two lines are parallel lines in the same plane and do not intersect | A transversal is a line that intersects two or more coplanar lines at different points. | Corresponding: Two angles are corresponding angles if they occupy corresponding positions. | Alternate interior: Two angles are alternate interior angles if they lie in between the two lines on the opposite sides of the transversal | Alternate Exterior: Two angles are alternate exterior angles if they lie outside the two lines on the opposite sides of the transversal | Same-Side interior: Two angles are same side interior angles if they lie between the two lines on the same side of the transversal.

11: Pictures | Angle 2 and Angle 6 are corresponding angles. Angle 4 and Angle 5 are alternate interior angles. Angle 1 and Angle 8 are alternate exterior angles. Angle 3 and Angle 5 are same-side interior angles.

12: All right angles are congruent. | Definition of Perpendicular Lines | If two lines are perpendicular, then they intersect to form four right angles. | If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line. | In a plane, if two lines are perpendicular to the same line, then they are parallel to each other . | A converse of an if-then statement is the statement formed by switching the hypothesis and the conclusion

13: Perpendicular Lines | Perpendicular lines form 90 degree angles. | Real World Example Tennis Lines

14: Definition of Triangles, Angle measures, Names of Triangles | A triangle is a figure formed by three segments joining three non-collinear points. A triangle can be classified by its sides and by its angles. | Equilateral triangle-3 congruent sides Isosceles Triangle-At least 2 congruent sides Scalene triangle-No congruent sides | Equiangular Triangle-3 congruent angles Acute triangle-3 acute angles Right triangle-1 right angle Obtuse triangle-1 obtuse angle | A vertex of a triangle is a point that joins two sides of the triangle. The side across from an angle is the opposite angle | The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles | If a triangle is equilateral, then it is equiangular. If a triangle is equiangular, then it equilateral

15: Pictures | Definitions of triangles,Angle measures,Names of triangle picture examples and real world examples

16: PythagoRean Theorem | aND | Distance Formula | In a right triangle, the sides that form the right angle are called legs THe side opposite the right angle is called the hypotenuse. (a2+b2=c2) | If A(x1,y1) and B(x2,y2) are points in a coordinate plane, then the distance between A and B is A B\/'''''''''''''''''''''''''''''''''' (x2-x1)2+(y2-y1)2

17: Pictures | Pythagorean Theorem and Distance formula pictures, examples, and real life relations.

18: Congruent Triangles | Corresponding angles and corresponding sides are examples of Corresponding Parts | Figures are congruent if all pairs of corresponding angles are congruent and all pairs of corresponding sides are congruent | SSS: If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent | SAS: If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent | ASA: If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent | AAS: If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent | HL: If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent

20: Polygons Parallelograms, Rhombuses, Rectangles and Squares | A polygon is a plane figure that is formed by three or more segments called sides . Each side intersects exactly two other sides at each of its endpoints. Each endpoint is a vertex of the polygon. | A segment that joins two nonconsecutive vertices of a polygon is called a diagonal . | A parallelogram is a quadrilateral with both pairs of opposite sides parallel. | A rhombus is a parallelogram with four congruent sides | A rectangle is a parallelogram with four right angles. | A square is a parallelogram with four congruent sides and four right angles. | A trapezoid is a quadrilateral with exactly one pair of parallel sides. The parallel sides are the bases . The nonparallel sides are the legs . | If the legs of a trapezoid are congruent, then the trapezoid is an isosceles trapezoid .

21: Pictures

22: Definitions | The centroid of a triangle is the point where the three medians meet. This point is the center of mass for the triangle. | The intersection of two or more figures is the point or points that figures have in common. | A construction is a geometric drawing that uses a limited set of tool., usually a compass and a straightedge is a ruler without marks. | A Polygon with 5 sides is called a pentagon. | A 6 SIDEd Polygon is called a hexagon. | A 7 sided Polygon is called a heptagon | A 8 sided Polygon is called an Octagon. | A line of symmetry is a line of reflection. | A reflection is a transformation that creates a mirror image. | A segment,ray,or line that is perpendicular to a segment at its midpoint is called a perpendicular bisector.

Get up to **50**% off your first order!

or

By clicking on the "Create your account" button, you agree to Mixbook's
Terms of Service.

Welcome back! Go ahead and Log In

or

Your first order