Perpendiculars/Bisectors
Midsegment Theorem
Inequalities in one triangle
Triangle Inequality Theorem
Inequalities in two triangles
100
Identify the theorem and explain with a diagram:A segment, ray, line, or plane that is perpendicular to a segment at its midpoint
perpendicular bisector
100
What is the name of the segment that connects the midpoints to the two sides of a triangle?
midsegment of a triangle
100
The exterior angle of a triangle is less than the remote interior angles - true or false?
False
100
Can you form a triangle with lengths 5,6, 9?
yes
100
Compare the measures of Angle ABC and Angle DEF
ABC > DEF
200
If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. Is it a Perpendicular Bisector Theorem or it is converse of Perpendicular Bisector Theorem
Perpendicular Bisector Theorem
200
Every triangle has ______ midsegments, which form the midsegment triangle.
three
200
List the angles from smallest to largest
Angle S, Angle R, Angle T
200
Can you form a triangle with lengths 2.24, 5.71, 3.38
No
200
Compare QT and RS
QT > RS
300
Identify the theorem and explain with a diagram: If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle.
Angle Bisector Theorem
300
The segment connecting the midpoints of two sides of a triangle is ____ to the third side and is ____ as long.
Parallel;half
300
State the angles that have a measure equal to angle 4
Angle 1, angle 2
300
Find the range for the measure of the third side of a triangle with lengths 5 & 7
2<x<12
300
Compare WX and XY
XY >WX
400
If D is on the ____ of segment AB, then it is equidistant from A to B.
perpendicular bisector
400
Suppose you were given only the three midpoints of the sides of a triangle. Is it possible to draw the original triangle on a coordinate plane?
yes, plot coordinates in a plane and calculate slopes then draw sides using midpoints.
400
List the sides from smallest to largest 
segment BC, segment AB, segment AC
400
Which could not be the measure of the 3rd side?
7, 10, 13, 22
22
400
Find the range of possible x values 
4.5 < x < 24
500
What does the converse of the angle bisector theorem state? Draw and explain.
If a point in the interior of an angle is equidistant from the sides of the angle, then it is on the bisector of the angle.
500
Method for verifying that the midsegment theorem is true for a given midsegment on the coordinate plane.
using slope and distance formula.
500
List the sides from largest to smallest
LN, MN, ML
500
Find the range of values for x if these are the lengths of the sides of a triangle:
x+1, 5, 7
1 < x < 11
500
Write an inequality for the range of values of x
x > 12.5