Geometry Chapter 5 Test

Find the value of x and QA. x = QA =

In , Z is the centroid, MZ = 6, YI = 18, and NZ = 12. MR = ZV =YZ =

Point A is the incenter of .  Find .  =

Find the range for the measure of the third side of a triangle given two sides with lengths 31 cm and 39 cm. 

List the sides of  in least to greatest order

Point P in the incenter of .  If PY = 40 and JY = 32, find LP. LP =

Is it possible to form a triangle with the given sides lengths of 4 ft, 8 ft, and 18 ft.  If not explain why not. 

Find the range for the third side of a triangle given two sides with measures of 7 km and 29 km. 

Lines s, t, and u are perpendicular bisectors of the sides of  and meet at J.  If JG = 2x + 2, JH = 2y – 2,JF = 8, and HI = 2z – 3, find x, y, and z. x =y =z = 

In , CP = 30 EP = 18, and BF = 39.  Find the value of each measurePD = __________________                                                                                                                              PA = __________________ FP = __________________ CD = __________________ EA = __________________ BP = __________________  

The point of concurrency of the perpendicular bisectors of a triangle and is equidistant from the vertices of a triangle.  

The point of concurrency of the angle bisectors of triangle and is equidistant from the sides of a triangle. 

The point of concurrency of the medians of a triangle and is two thirds of the distance form each vertex to the midpoint of the opposite side.  

In the diagram given, which angle has the greatest measure of .

4. cannot be determined

Which set of numbers cannot represent the lengths of the sides of a triangle?

Determine the relationship between

Determine the relationship between