Unit 5 Sections 5-1 to 5-3

Question 1

Midsegment?

Answer 1

A segment that joins the midpoints of two sides of a triangle

Question 2

Guidelines for Writing a Coordinate Proof?

Answer 2

1. Strategically place the figure on the coordinate plane
2. Look to use distance, midpoint and slope formulas
   3.Label the figure with coordinates, assigning 0 and all other variables. e.g. (0,0), (0,a) or (b,c)
   4.The exception to #3 above is if you anticipate utilizing the midpoint formula, consider using multiples of 2 for the variable coordinates.
   5.You may NOT use numbers in this type of proof.

Question 3

Median?

Answer 3

Definition: Segment from the vertex to the midpoint of the opposite side.

Point of Concurrency: Centroid
Location of Concurrency: Inside
Special Relationship: 2/3 distance from each vertex

Question 4

Perpendicular Bisector?

Answer 4

Definition: Line through the midpoint and perpendicular to the side

Point of Concurrency: Circumcenter
Location of Concurrency: Inside, outside, and on
Special Relationship: Equidistant from vertices

Question 5

Altitude?

Answer 5

Definition: Segment from the vertex perpendicular to the line containing the opposite side.
Point of Concurrency: Orthocenter
Location of Concurrency: Inside, outside, and on
Special Relationship: None

Question 6

Angle Bisector?

Answer 6

Definition: Segment that divides an angle into two congruent angles

Point of Concurrency: Incenter
Location of Concurrency: Inside
Special Relationship: Equidistant from the sides