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FC: My Geometry Scrapbook By:Sandy Xue

1: Table of Content | Midpoint...............................Page 2 Polygons...............................Page 3 Circles and Arcs.......................Page 4 Finding the nth term...................Page 5 Biconditional..........................Page 6 Something that will make you laugh.....Page 7 Angle Relationships..................Page 8&9 Properties of kites and Trapezoids....Page 10 Measuring and Drawing Angles.......... Page11 Planes................................ Page12 Conditional Statements and Truth Tables...Page13 Points of Concurrency.....................Page14 The triangle Inequality Conjecture........Page15 Properties of Midsegments.................Page16 Defining Angles...........................Page17 Identifying Quadrilaterals.............Page18&19 The Triangle Sum Conjecture...............Page20 The polygon Sum Conjecture................Page21 Triangle Congruence...................Page 22&23 Constructions............................Page 24 Properties of Parallelogram..............Page 25

2: Midpoints | Is the point on a line segment that is the same distance from both endpoints (halfway between 2 locations)

3: Polygons A plane figure with at least three straight sides and angles, and typically five or more.

4: Circles and Arcs Circle-A round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center). Arc-Something shaped like a curve or arch.

5: Finding the nth term a) Write down the next two terms of the sequence. b) Write down an expression for the nth term of this sequence. c) Work out the 50th term of the sequence.

6: Biconditional The logical connective of two statements asserting "p if and only if q", where q is a hypothesis and p is a conclusion.

8: Angles Relationships Congruent-They have the same shape or measure. Right Angle- An angle which measures 90 degrees. Obtuse Angle-More than 90 degrees and less than 180 degrees. Acute Angle-Less than 90 degrees. Straight Angle-An angle of 180 degrees. Complementary Angles-Two angles that add up to 90 degrees Supplementary Angles-When the measure of two angles adds up to 180 degrees.

9: Vertical Angles-Each of the pairs of opposite angles made by two intersecting lines. Linear pairs-Two angles that are adjacent and supplementary. Parallel Lines-Are lines that never intersect. Transversal-Intersecting a system of lines. Alternate Interior Angles-When two lines are crossed by another line (which is called the Transversal), the pairs of angles on opposite sides of the transversal but inside the two lines. Alternate Exterior Angles-Showing the pairs of angles associated with a transversal. Corresponding Angles-Showing the pairs of corresponding angles associated with a transversal.

10: Properties of Kites and Trapezoids A trapezoid is a quadrilateral with exactly one pair of parallel sides. A kite is a quadrilateral with two distinct pairs of adjacent sides that are congruent.

11: Measuring and Drawing angles | Look for the upside down ‘T’ in the middle of the straight line on your protractor to the vertex of the angle. Line up the protractor correctly. Read from the 0, and follow the inner set of numbers. This angle measures 35 degrees.

12: Planes A plane is a flat, two-dimensional surface.

13: Conditional Statements and Truth Tables A conditional statement is false if hypothesis is true and the conclusion is false.

14: Points of Concurrency The point where three or more lines intersect.

15: The triangle Inequality Conjecture The triangle inequality theorem states that any side of a triangle is always shorter than the sum of the other two sides.

16: Properties of Midsegments A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle. This segment has two special properties. It is always parallel to the third side, and the length of the midsegment is half the length of the third side.

17: Defining Angles Acute Angle an angle that is less than 90 degrees. Right Angle an angle that is 90 degrees. Obtuse Angle an angle that is greater than 90 degrees but less than 180 degrees. Straight Angle an angle that is 180 degrees. Reflex Angle an angle that is greater than 180 degrees.

18: Identifying Quadrilaterals 4 sided figure 1. Parallelogram: It is a quadrilateral whose pair of opposite sides are parallel. 2. Rhombus: It is a parallelogram whose sides are of congruent. 3. Rectangle: It is a parallelogram whose interior angles measure 90 degrees . 4. Square: It is a parallelogram whose sides are congruent and the interior angles measure 90 degrees. 5. Trapezoid: It is a quadrilateral whose one pair of opposite sides are parallel. 6. Kite: It is a quadrilateral which has two distinct pairs of adjacent sides are congruent.

20: The Triangle Sum Conjecture The sum of the measures of the angles in every triangle is 180 degrees.

21: The polygon Sum Conjecture The sum of the interior angles of any convex n-gon (polygon with n sides) is given by (n-2)*180.

22: Triangle Congruence Triangles are congruent when all corresponding sides and interior angles are congruent. The triangles will have the same shape and size, but one may be a mirror image of the other. 1.SSS (side side side) All three corresponding sides are equal in length. 2.SAS (side angle side) A pair of corresponding sides and the included angle are equal. 3.ASA (angle side angle) A pair of corresponding angles and the included side are equal. 4.AAS (angle angle side) A pair of corresponding angles and a non-included side are equal. 5.HL (hypotenuse leg of a right triangle) Two right triangles are congruent if the hypotenuse and one leg are equal.

24: Constructions To draw shapes, angles or lines accurately.

25: Properties of Parallelograms Two angles whose vertices are the endpoints of the same side are called consecutive angles. Two angles that are not consecutive are called opposite angles. Two sides of a quadrilateral that meet are called consecutive sides. two sides that are not consecutive are called opposite sides.