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Geometry Scrapbook

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Geometry Scrapbook - Page Text Content

BC: "Don't cry because it's over, Smile because it happened." - Dr Seuss

FC: Geometry Scrapbook | ,,,, By: Emily Garcia

1: table of contents | table of contents | 1.midpoints........................................................2-3 2.polygons.........................................................4-5 3.circles and arcs..........................................6-7 4.cpctc................................................................8-9 5.disjunctions and conjuntions..............10-11 6.constructions............................................12-20 7.deductive reasoning.....................................21

2: midpoints a midpoint is the point on a line segment that i the same distance from both endpoints.

4: POLYGONS | A closed figure formed by joining three or more line segments in a plane at their endpoints with each line segment joining exactly two others.

6: an arc is a part of a circle. one part of an arc, a semicircle, is a half of a circle. a minor arc is smaller than a semicircle. a major arc is greater than a semicircle. | Circle and Arcs

7: central angle | circle

8: Corresponding Parts of Congruent Triangles | Triangles with a correspondence between their vertexes such that each pair of corresponding sides and each pair of corresponding angles are congruent.

9: triangle congruence:

10: a conjunction is a compound sentence that is formed by connecting two simple sentences using the word "and". the sentence p and q can be represented in symbols as p^q.

11: conjunctions and disjunctions | a disjunction is a compound sentence that is formed by connecting two simple sentences using the word "or". The sentences p or q can be represented in symbols as pvq.

12: constructions | Angle Bisectors: an angle bisector is q ray whose endpoint is the vertex of the angle and that divides that angle into congruent angles.

13: Steps: 1.With one point of the compass on the vertex of the angle, draw an arc that intersects both sides of the angle. 2.Draw an arc from each of these points of intersection so that the arcs intersect in the interior of the angle. The compass needs to stay open the same amount throughout this step. 3.Draw the ray from the vertex of the angle to the intersection of the two arcs drawn during the previous step.

14: perpendicular bisectors: A perpendicular bisector is a line which cuts a line segment into two equal parts at 90.

15: Steps: 1.Place the compass on one end of the line segment. 2.Set the compass width to a approximately two thirds the line length. The actual width does not matter. 3.Without changing the compass width, draw an arc above and below the line.

16: 4.Again without changing the compass width, place the compass point on the the other end of the line. Draw an arc above and below the line so that the arcs cross the first two. 5.Using a straightedge, draw a line between the points where the arcs intersect. 6.Done. This line is perpendicular to the first line and bisects it (cuts it at the exact midpoint of the line).

17: 4. 5. 6.

18: Circumcenter

19: Steps: We start with a triangle ABC. 1. Find the bisector of one of the triangle sides. Any one will do.

20: 2. Repeat for the another side. Any one will do. 3. Mark the point where these two perpendiculars intersect as point O.

21: DeductiveReasoning | Deductive Reasoning is the process of showing that certain statements follow logically from agreed upon assumptions and facts. When you use deductive reasoning you try to convince yourself of someone else that your conclusion is valid.

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  • By: Emily G.
  • Joined: almost 4 years ago
  • Published Mixbooks: 2
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  • Title: Geometry Scrapbook
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  • Published: almost 4 years ago

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