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# Geometry Book

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### Geometry Book - Page Text Content

BC: Slope | A slope is a surface of which one end or side is at a higher level than another in anther words it's steepness. To find a slope you much use the formula | In order to find slope you must have 2 points o the grid and replace them with x1,x2,y1,y2. Remember not to mess up x1 and y2. Must be the same coordinate dot. | Do you see this sunset in the background? Everyday when the sunset theres a slope happening in reality. Slope of sunset is 0 slope in another words its a horizontal slope.

FC: Geometry ScarpBook

1: Table of Contents | Midpoints..........................................................................pg2 Polygons...........................................................................pg3 Circles and Arcs..................................................................pg4 Finding the nth Term............................................................pg5 Disjunctions and Conjunctions.................................................pg6 Angle Relationships..............................................................pg7 Constructions.....................................................................pg8 The Properties of Isosceles Triangles.........................................pg9 Triangle Congruence..............................................................pg10 Properties of Kites and Trapezoids.............................................pg11 Properties of Parallelograms....................................................pg12 Properties of Special Parallelograms..........................................pg13 Properties of Equality............................................................pg14 Tangent Properties...............................................................pg15 Investigating Triangles...........................................................pg16 Planes...............................................................................pg17 Writing Linear Equations.........................................................pg18 Solving Systems of Linear Equations...........................................pg19 Slope................................................................................pg20

2: Midpoints | An Midpoint is the center point of a segment. Solving midpoints in an line segment, we can use the equation | However if you want to find x and y you will need to plot the line in a graph table. when your done it should look similar to this, where theres a point between the endpoints of a line

3: Polygons | Polygons are 2d figures that are formed by straight lines and are connected to one another.

4: Circles and Arcs | An circle is a polygon with no vertex or straight lines. It has a total measure of 360 degrees interior. Arcs are parts of the circumference of an circle. There are 2 different types of arcs minor arcs are lower than 180 degrees and major arcs are arcs with degree measure higher than 180.

5: Finding the nth Term | Finding the nth term. First we need to know what does the nth term represents. The nth term is the term you trying to find in a number sequence. There are many formulas to find the nth term however the easiest one to use is a+(n-1)d. you many change the variables if you want but just remember that the d's mean difference and the a means first.

6: Disjunctions and Conjunctions | Disjunctions and Conjunctions are basically used to represent words. Disjunction means OR. Conjunctions means AND.both of them represent works so if the sentence your dealing with, which ever one makes more sense is the one that correct.

7: Angle Relationships | There are many types of angles as many of you may know. There are right angles, acute angles,obtuse angles, straight angles, complementary angles, supplementary angles, vertical angles, alternate interior angles, alternate exterior angles, corresponding angles, same-side exterior angles, and same-side interior angles. These angles are whats created by transversal's of many kinds. They are all angles and each of them are different although sometimes they can be congruent

8: Constructions | Constructions means drawing various shapes using only compass or straightedges.

9: Properties of Isosceles Triangle | Isosceles triangles have 2 sides that are congruent and 2 angles of the opposite sides are congruent

10: Triangle Congruence | Triangles that are congruent have the same measure for all corresponding sides and only if the interior angles are congruent. Congruent triangles will have the same shape,

11: Properties of Kites and Trapezoids | A Trapezoid is a quadrilateral with one pair of parallel lines. A Kite has 2 pairs of adjacent sides.

12: Properties of Parallelograms | Parallelograms properties are consecutive angles are supplementary, its opposite sides are congruent, its opposite angles are congruent, and it has 2 pairs of parallel lines.

13: Properties of Special Parallelograms | Special parallelograms are squares, rhombus, and rectangles. They all have different properties. Rectangle's have congruent diagonals. Rhombus has perpendicular diagonals. And square's has 4 right angles.

14: Properties of Equality | There are 8 properties of equality. Reflexive property: x = x Symmetric property: If x = y, then y = x Transitive property: If x = y and y = z, then x = z Addition property: If x = y, then x + z = y + z Subtraction property: If x = y, then x z = y z Multiplication property: If x = y, then x z = y z Division property: If x = y, then x z = y z Substitution property: If x = y, then y can be replace x in any expression

15: Tangent Properties | An tangent is a line in the plane of the circle that intersects the circle in exactly one point

16: Investigating Triangle Properties | Isosceles triangles have 2 sides that are congruent. Equilateral triangles have 3 congruent sides. Scalene triangles have no congruent sides. Right triangles have an angle with a measure of 90 degree. Obtuse angles has an angle greater than 90 degrees. Acute triangles has all angles less than 90 degrees. Equiangular triangles are equilateral triengles.

17: Planes | Flat surface with 0 width and is 2d connected to 2 points.

18: Writing Linear Equations | The formula to writing a linear equation is y=mx+b. m is the slope and b is the y-intercept

19: Solving Systems of Linear Equations | when solving linear equations there are many methods to solve them such as substitution method, addition method, and many more methods.

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