Points of Concurrency
Special Segments
Triangle Inequalities
Indirect Proof/Hinge Theorem
Mixed Bag
100
Concurrent lines are
What is three or more lines that intersect
100
These special segments pass through the midpoint of the opposite side of the triangle.
What is a median and a perpendicular bisector?
100
Is it possible to draw a triangle with side measures 12, 11, 17?
What is yes?
100
TRUE or FALSE: The hinge theorem states "If two sides of one triangle are congruent to two sides of another triangle, and the included angles are not congruent, then the longer third side is the side opposite the larger included angle."
true
100
True or False: Angle Angle Angle is a right triangle congruence statement
What is false?
200
The point of concurrency for perpendicular bisectors
What is the circumcenter?
200
These special segments meet the opposite side at 90 degrees.
What is an altitude and a perpendicular bisector?
200
Is it possible to draw a triangle with side measures 5, 5, and 10?
What is no?
200
what is the converse of the Hinge Theorem
What is if 2 sides of 1 triangle are congruent to 2 sides another triangle and the third sides are not congruent, then the larger include angle is across from the longer third side
200
How many curves are there in a standard paper clip?
What is three?
300
The point of concurrency for medians
What is the centroid?
300
The centroid divides a median into
What is a 2/3 and 1/3 segment.
300
A triangle ABC has angle measures m<A= 64o , m<B=72o, and m<C= 44o. List the side lengths from shortest to longest.
What is AB, BC, AC ?
300
Write the assumption you would state to start the indirect proof: if 2x>16, then x>8
x is less than or equal to 8
300
Who is originally credited with developing indirect proofs?
Aristotle
400
The angle classification of a triangle whose orthocenter is on the triangle.
What is a Right Triangle?
400
The circumcenter is equidistant from
What is the vertices?
400
Would this triangle work?
sqrt(24)
sqrt(15)
sqrt(3)
yes
400
Write an inequality relating YZ and UV if possible:
What is YZ<UV?
400
The four right triangle congruence statements are
What is HL, HA, LL, LA?
500
This is the balancing point of all triangles.
What is the centroid?
500
The incenter is equidistant from
What is the sides of a triangle?
500
What is the range for the 3rd side of the triangle?
2.7cm, 4.2 cm
1.5<n<6.9
500
What is your first step for an indirect proof of the following conditional:
If a whole number is between 1 and 4, then it is a factor of 6.
Assume that if a whole number is between 1 and 4, then it is not a factor of 6.
500
Which right triangle congruence statement is most similar to SAS triangle congruence?
What is LL?