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1. WELCOME TO MATHEMETICS WORLD

2. GEOMETRY IS THE STUDY OF FIGURES.
 Plane geometry studies figures in a flat, two
dimensional space called a plane.
 Polygons-Triangles, Quadrilaterals….
 Perimeter and area
 Circles
 Solid geometry studies figures in a three-
dimensional space.
 Coordinate Geometry
 Volume

3. POINT , LINES AND THE ANGLESTHEY FORM
 POINTS:
 A POINT has no dimension and only position.
 LINES AND THE ANGLESTHEY FORM:
 A LINE IS a continuous set of points having 1
dimension length.
 A LINE SEGMENT IS a part of a line.

4. INTERSECTING LINES AND RULES
ABOUT ANGLES FORMED
 3 WAYS TO DESCRIBE AN ANGLE
 ANGLE DEFINED: space formed when two lines
meet at a point,
 ANGLE
RELATIONSHIPS(adjacent/complementary)
 Intersecting lines (vertical/supplementary angles)
 Parallel lines

5. INTERSECTING/PARALLEL
Angle relationships for
intersecting lines
Angle relationships for parallel
lines
1) Angles opposite Each Other
Are Equal and Called Vertical
Angles
Corresponding Angles
Defined
2) Angles Adjacent to Each Other
Are Supplementary
Parallel Lines Are Defined
Perpendicular Lines Intersect Are
Right Angles
Alternate Interior Angles formed
by transverse lines.

6. POLYGONS: PLANE CLOSED FIGURE MADE UP
OF STRAIGHT LINE SEGMENTS.
Remember type is defined by
number of sides…3/triangle,
4/quadrilateral, 5/pentagon,
6/hexogon…
Differences
Shared Principles
Similar verses Congruent:
Angles equal/sides proportional vs.
angles equal but sides same size and
shape
Sum of the Angles= (N-2) X 180
Each angle is #/N (because number of
sides=number of angles.)

7. SIMILAR VS. CONGRUENT POLYGONS
 Angles equal/sides proportional vs. Angles equal
but sides same size and shape equal but sides
same size and shape.

8. CIRCLES :
 A plane closed figure formed by a set of points
equidistant from a fixed point called the center.

9. IMPORTANT TERMS:
 Circumference: boundary .
 Radius: distance from center to any point on
circumference.
 Diameter: line segment passing through the center
and ending on both ends at circ.
 Chord: line segment having both endpoints on
circ….longest one is diameter.
 Secant: line passing through the circle interesting it
at 2 points.

10. IMPORTANT TERMS: (CONT..)
 Tangent: line intersecting the circle at only one point.
Radius from that point is perpendicular to the tangent.
 Arc: a part of the circ.
 Semi- Cirlce:- an arc that is ½ the circumference.
 Sector: The interior part of circle bordered by two radii
and the arc they intercept.
 Central Angle: verses inscribed angle…center point vs.
point on circumference.

11. WHAT IS PI?
 Ratio Circ: diameter of a circle! So pi X
diameter=circ
 The area of a circle:
 A= p r2 .
 Pi= 3.14 or 3.1 or 3 1/7 or 22/7.

12. COORDINATE GEOMETRY
 Locates geometric figures on planes via
Cartesian Coordinate System. If only x and y
then it is two dimensions. If x, y and z then it is
no longer on a plane but in space, so it is three
dimensional. With x and y only, then two planes
are divided into 4 quadrants. (I, 11, 111 and 1V)

13.  Distance Sq.: (x2-x1)2 + (y1-y2)2
 So the square root of the dist= square root of
above
 Midpoint (x1 + x2) /2, (y1+y2)/2= x midp..y
midp.
 Slope: m = y2-y1/X2 - X1

14. VOLUMES:
 Cubes.
 Volume = e3 .
 Cylinders
 Volume = p r2 h.
 Pyramids
 Volume = 1/3 lwh.
 Cones
 Volume = 1/3 p r2 h.
 Sphere
 Volume = 4/3 p r3

15. THANK YOU
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