Centers of Triangles
Hinge Theorem
Triangle Inequality
Show Your Work!!!
Miscellaneous
100
What is the name of the center of a triangle where the perpendicular bisectors intersect?
Circumcenter
100
If BC = 9 and EF = 6, then which angle is larger, Angle A or Angle D?
Angle A
100
TRUE or FALSE: A triangle exists if the sum of the two smaller sides is larger than the third side.
True
100
What is the lvalue of a?
a = 9
100
What is Auburndale's mascot?
Hounds
200
What is the name of the center of a triangle where the angle bisectors intersect?
Incenter
200
What are the measures of the included angles in the problem below?
180 - 122 = 58
180 - 140 = 40
200
Put the angles in order from greatest to least.
Angle M
Angle N
Angle L
200
What is the length of EF?
EF = 21
200
What Module are we working on?
Module 6
300
What is the center of a triangle where the medians intersect?
Centroid
300
Solve for the possible values of x.
Lower Value of x
3x + 44 > 68
x > 8 or 8 < x
300
List the sides in order from greatest to least.
GH, GF, FH
300
If P is the centroid of triangle JKL and JK = 22, what is the length of MK?
MK = 11
300
What is the shape of the figures in which we are working?
Triangles
400
A ______________ is a segment joining a vertex to the midpoint of the opposite side in a triangle.
Median
400
Solve for the possible values of x.
Upper Value of x
3x + 10 < 55
x < 15
400
What is the inequality used to determine the range of possible lengths of the third side of a triangle?
a - b < c < a + b
400
If G is the centroid of triangle ACE and GF = 7, what is the length of GC?
GC = 14
400
When are you taking your Module 6 Assessment?
Per. 1 - Wed and Thu
Per. 3, 5, and 7 - Wednesday
Per. 2 and 6 - Thursday
500
Which theorem states that the medians of a triangle intersect at a point called the centroid that is 2/3 of the distance from each vertex to the midpoint of the opposite side?
The Centroid Theorem
500
If you do not know the lower or upper value of x, what is the lowest or highest number you can substitute?
The lowest number is 0 and the highest number is 180.
500
A carpenter is searching through scraps of wood to complete the frame of a triangular shadow box. He has two pieces of wood that measure 50.4 centimeters and 81.3 centimeters.
What is the range for the measure of the third side?
30.9 cm < c < 131.7 cm
500
If T is the centroid of Triangle MNP and TN = 16, what is the length of NQ?
NQ = 24
500
What is Mrs. Volker's favorite color?
Purple