GEOMETRY
CHAPTER 5 - PRACTICE TEST
Complete the following sentence by filling in the blank with always, sometimes or never.
1)
Three Altitudes _______________ meet inside the triangle
2)
Any point on an Angle Bisector is ____________ the same distance to either side of
the triangle.
For problems 3 – 4, use the picture provided to solve for each missing variable.
3)
4)
Use the following information to solve problem 5.
5)
Find the measure of all sides of ∇ABC . State the Perimeter of the Triangle. Classify the
triangle by its sides and its angles.
A(−1,
1)
B(−2,
2)
C(4,
1)
Draw and label a figure to illustrate each situation in problems 6-7.
6)
AB is an angle bisector and an median of ∇ADC
7)
MN is an altitude of ∇MNF
Determine whether it is possible to draw a triangle with sides of the given measures for
problem 8. Write yes or no.
8) 3.5, 2.5, 6.5
The measures of two sides of a triangle are given for problem 9. Between what two numbers
must the measure of the third side fall?
9) 5 and 8
Find the value of x and list the sides of ∇ABC in order from the shortest to longest for
problem 10.
10)
m∠A = 2x , m∠B = 3x , m∠C = 4x
Use the picture below, for problem 11 and 12, to find all possible values of x.
11)
12)
SHOW ALL STEPS TO COMPLETE THE FOLLOWING PROOFS!
13)
14)
17)