True or False: a statement and its inverse have the same truth value
False
100
Created by connecting the midpoint of a side of a triangle to the opposite vertex
What is a median
200
When you change a statement to have the opposite truth value
What is negation
200
A segment formed by connecting the midpoints of two sides of a triangle
What is a midsegment
200
Created by negating both the hypothesis and the conclusion
What is an inverse
200
The centroid of a triangle divides the median into two parts. The vertex-side of the median is what fraction of the entire length of the median
What is 2/3
200
Created by creating a perpendicular segment from one vertex tot he opposite side
What is an altitude
300
A construction that splits something into two equal parts
What is a bisector
300
A point equidistant from the vortexes of a triangle
What is a circumcenter
300
Created by negating both the hypothesis and conclusion of a statement, and then swapping them
What is a contra positive
300
Is the triangle with the following side lengths possible?
AB = 12, BC = 18, AC = 32
No
300
A circle centered at the point where angle bisectors all intersect
What is an incircle
400
Two statements with the same truth value
What are equivalent statements
400
The point formed by the intersection of a triangles medians
What is a centroid
400
True or False: a statement and its contra positive have the same truth value
True
400
List the sides of the triangle with the given angle measurements in order from largest to smallest
A = 30, B = 80, C = 70
AC, AB, BC
400
A circle centered at the point where all the perpendicular bisectors intersect
What is a circumcircle
500
A point where two or more lines intersect
What is a point of concurrency
500
A point formed by the intersection of altitudes
What is an orthocenter
500
What are the steps for an indirect proof
1. Assume the opposite of what you want to prove
2. Logic until you get a contradiction
3. Conclude the Assumption must have been false, therefore it's opposite is true
500
List the angles of the triangle wth the given side measurements in order from smallest to largest
AB = 7, BC = 9, AC = 5