Identify 3 pairs of parallel segments.
RS parallel to DF
ST parallel to ED
TR parallel to FE
What is the point of concurrency called where all three perpendicular bisectors meet?
Circumcenter
What is the point of concurrency called where all three medians meet?
Centroid
Why is m<2 > m<3?
Corollary to the Triangle Exterior Angle Theorem
What can you conclude about two triangles using the Hinge Theorem?
The longer third side is opposite the larger included angle.
Find the lengths of TU, UB, and QR.
TU = 20
UB = 25
QR = 60
What is the point of concurrency called where all 3 angle bisectors meet?
Incenter
What is the point of concurrency called where all 3 altitudes meet?
Orthocenter
List the angles in order from least to greatest.
<G, <H, <J
What can you conclude about two triangles using the Converse of the Hinge Theorem?
The larger included angle is opposite the longer third side.
Find the length of AB.
AB = 20
GE = 2x-7 and GF = x+4. What is GD?
GD = 15
Is the red line a median, altitude, or neither?
altitude
List the sides in order from least to greatest.
TU, UV, TV
A pair of scissors is opened at two different angle measures. Option 1 opens at a 34 degree angle and option 2 opens at a 32 degree angle. Which pair of scissors is the distance greater between the tips of the scissors?
option 1 or 34 degrees
What is the length of RM?
RM = 35
Find the location of a new police station equidistant from the elementary, middle, and high school.
Graph at least two perpendicular bisectors.
If YU = 9, find ZY and ZU.
ZY = 4.5
ZU = 13.5
Can a triangle have side lengths of 2, 9, and 10?
11>10
12>9
19>2
Yes
Write an inequality relating sides LM and KL.
LM<KL
A park director wants to build a shirt stand equidistant from the Rollin' Coaster and the Spaceship Shoot. What are the possible locations of the stand?
Draw Perpendicular Bisector
What are the coordinates of the circumcenter of the triangle with vertices P (0,6), O (0,0), and S (4,0).
(2,3)
Triangle ABC has vertices A (1,3), B (2,7), and C (6,3). What are the coordinates of the orthocenter of triangle ABC?
(2,4)
The lengths of two sides of a triangle are 18 and 23. Find the range of possible side lengths for the third side.
5<x<41
Find the range of possible values for x.
4<x<16