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1. The truth is not hidden
In the world of shapes, there exists
simple truths. From every angle,
there are rules. These rules, if
followed, will bring you correct
answers & great happiness.
In math, all secrets are
revealed.

2. Geometry is the study of figures.
Plane geometry studies figures Solid geometry studies figures
in a flat, two dimensional in a three-dimensional space.
space called a plane.
 Points, lines, and angles
 Polygons-Triangles,  Coordinate Geometry
Quadrilaterals….
 Perimeter and area  Volume
 Circles

3. 1. POINTS
A POINT has no dimension and only position.
2.LINES AND THE
ANGLESTHEY FORM
A LINE IS a continuous set of points having 1
dimension_length.
3. )INTERSECTING LINESa part of a line
A LINE SEGMENT IS 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

4. INTERSECTING/PARALLEL
Angle relationships for Angle relationships for parallel
intersecting lines lines
1) Angles opposite Each Other
Corresponding Angles
Are Equal and Called Vertical
Defined
Angles
3 WAYS TO DESCRIBE AN ANGLE
2) Angles Adjacent to Each
ANGLE DEFINED Parallel lines defined
Other Are Supplementary
ANGLE RELATIONSHIPS
Perpendicular Lines Intersect Alternate Interior Angles
Ar Right Angles formed by transverse lines.
Intersecting lines

5. Polygons: plane closed figure made up of straight
line segments.

6. Similar vs. Congruent Polygons
Angles equal/sides proportional vs.
angles equal but sides same size
and shape equal but sides same
size and shape

7. Circles : a plane closed figure formed by a set of
points equidistant from a fixed point called the center.
What is pi? Ratio Circ: diameterr
Important terms of a circle! So pi X diameter=circ
• Circumference: boundary
• Radius: distance from center to any point on • The area of a circle:
circumference.
• Diameter-line segment passing through the
center and ending on both ends at circ.
 Chord: line segment having both endpoints on • A= pi r squared
circ….longest one is diameter
Secant: line passing throught the circle interesting it at 2
points
• Pi= 3.14 or 3.1
Tangent: line intersecting the circle at only one point.
Radius from that point is perpendicular to the or
tangent.
Arc: a part of the circ.
Semi-Cirlce- an arc that is ½ the circumference.
 3 1/7 or 22/7
Sector: The interior part of circle boredered by two radiii
and the arc they intercept.
Central Angle: verses inscribed angle…center point vs.
point on circumference.

8. 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)
 Distance Sq.: (x2-x1)squared + (y1-y2)squared
 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

9. Volumes on Volumes
Shape Formula
• Cubes • V= e cubed
• Cylinders • V=pi r squared h
• Pyramids • V=1/3lwh
• Cones • V=1/3 pi r squared h
• Sphere • V=4/3 pi r cubed

10. NOW THE TRUTH
HAS BEEN
TOTALLY • REVEALED. IF YOU
MISSED IT, THEN YOU
ARE ONLY HUMAN!