Download Chapter 5 Review

Name: _______________________________
Chapter 5 Geometry Test Review
Match each definition in the first column with a word or phrase from the second column.
1.) ______ A segment that connects the midpoint
of a side to the opposite vertex of a
triangle.
a.) concurrent lines
2.) ______ Three or more lines that intersect at a
common point.
c.) perpendicular bisector
b.) point of concurrency
d.) median
3.) ______ The point where the perpendicular bisectors
of a triangle meet.
e.) altitude
4.) ______ The point where the altitudes of a triangle meet.
f.) circumcenter
5.) ______ A segment that passes through the midpoint
of a side of a triangle and is perpendicular to
that side.
g.) incenter
6.) ______ The point where the angle bisectors of a
triangle meet.
i.) orthocenter
7.) ______ The common point where three or more lines
intersect.
8.) ______ A perpendicular segment that connects a vertex
to the opposite side of a triangle.
9.) ______ The point where the medians of a triangle meet.
10.) BD is a median of ∆ABC. Find the value of x.
11.) DF bisects CDE . Find the value of x.
1
h.) centroid
12.) DE is the perpendicular bisector of AC . Find the value of m.
13.) HK is an altitude of ∆HIJ. Find the value of x and IJ.
14.) G is the centroid of ∆ABC. Find the value of z.
Use the figure below to name the following.
15.) An altitude:
__________
16.) An angle bisector:
__________
17.) A median:
__________
18.) A perpendicular
bisector:
__________
2
19.) Name the angles of the triangle in order from smallest to largest.
20.) Name the sides of the triangle in order from longest to shortest.
21.) Using the table, which linear equation best describes the relationship between x and y?
22.) Using the Exterior Angle Theorem, list all angles
that must be larger than 7 .
23.) Using the Exterior Angle Theorem, list all angles
that must be smaller than 8 .
Determine the relationship between the measures of the given angles.
24.) SRU , RUS
25.) SVT , STV
3
26.)
Determine the relationship between the lengths of the given sides.
27.) ZY , YR
28.) RZ , SR
Determine whether the given measures can be the lengths of the sides of a triangle. Write
yes or no. If no, explain why. Show all work!
29.) 18, 32, 21
30.) 17, 25, 42
Find the range for the measures of the third side of a triangle given the measures of two
sides. Show all work!
31.) 12 and 18
32.) 7 and 9
4