Download EOCT REVIEW **Unit One** Polygons Polygon Triangle

EOCT REVIEW
**Unit One**
Polygons
Polygon
Triangle------Quadrilateral------Pentagon
Parallelogram
Rhombus--------Rectangle
Square
 Triangle: 3 sided polygon
 Quadrilateral: 4-sided polygon
 Pentagon: 5-sided polygon
 Parallelogram: Quadrilateral formed by two pairs of parallel lines

Consecutive Angles are Supplementary

Opposite Angles are Congruent

Both pairs of opposite sides are congruents

Diagonals Bisect Each Other
 Rhombus:

ALL properties of a Parallelogram PLUS:

Diagonals are perpendicular bisectors (create right angles)

Diagonal bisects a pair of opposite angle
 Rectangle:

ALL properties of a Parallelogram PLUS:

It's diagnolas are congruent

All angles are right angles
 Square:

ALL properties of a Parallelogram, Rhombus and Rectangle PLUS:

All four sides are congruent
**Unit Two**
Triangles
Special Right Triangles

Isosceles Right Triangle: 45-45-90


30-60-90 Right Triangle
 RIGHT TRIANGLE TRIGONOMETRY

Pythagorean Theorem: a2 + b2 = c2

Soh: Sin Opp/Hyp

Cah: Cosine Adj/Hyp

Toa: Tangent Opp./Adj.
 WHAT TO USE-WHEN!

When you have 2 sides and need the 3rd side: Pythagorean Theory

When you have One Side and One Angle and need the other Sides: Trig Ratios
(Soh-Cah-Toa)

When you have Two Sides and need One Angle: Inverse Trig Ratios

Acute Triangle: A triangle where all angles are less than 90 degrees

Right Triangle: A triangle where one angle is equal to 90 degrees

Obtuse Triangle: A triangle where one angle is greater than to 90 degrees

Concurrent: 3 or more lines, segments or rays that meet at the common point.

Midsegment: A line that connects two midpoints.

Median of a Triangle: A segment whose endpoints are a vertex of a triangle and the midpoint
of the opposite side.


Altitude of a Triangle: Is the perpendicular segment from a vertex to the opposite side or to
the line that contains the opposite side. An altitude can lie inside, on, or outside the triangle.


Orthocenter: The point where the three altitudes of a triangle meet (or concur).
*Does not have to be inside the triangle*.
Perpendicular Bisector of a Triangle: A line (ray or segment) that is perpendicular to a side of
the triangle at the midpoint of the side.*Does not have to be inside the triangle.


Centroid: The point of a triangle where the three medians of a triangle meet (or are
concurrent). *Centroid is always inside the triangle.
Circumcenter: The point where three perpendicular bisectors or a triangle concur (or
meet).
Angle Bisector of a Triangle: A bisector of an angle of the triangle.

Incenter: The point in a triangle where three angle bisectors of a triangle concur (or
meet).