Geometry
Chapter 5 Test Review
Name _____________________________
#1- 10: [5-1 – 5-4] Fill-in the terms.
_________________________: the same distance from two or more objects
_________________________: a set of points that satisfies a given condition
_________________________: three or more lines that intersect at one point
_________________________________: a point where 3 or more lines coincide {all intersect}
_________________________________: the point of concurrency of the 3 perp. bisectors of a
triangle (aka: where the 3 perp. bisectors of a triangle intersect)
_________________________________: a segment whose endpoints are a vertex of the
triangle and the midpoint of the opposite side
_________________________________: the point of concurrency of the three medians of a
triangle (also known as the center of gravity)
_________________________________: a perpendicular segment from a vertex to the line
containing the opposite side
_________________________________: the point of concurrency of the three altitudes of a
triangle
_________________________________: a segment that joins the midpoints of two sides of the
triangle
# 11 – 13 [5-1] Find the length or angle measure that is asked for.
11. WY = _________
12. ML = _________
13. m ABD, given that m ABC = 46°
m ABD = ________
#14 & 15: [5-2] Fill-in-the-blanks with the segment lengths that are equal to the one already given.
14. PA = ______ = ______
15. PX = ______ = ______
#16 & 17: [5-2] Use the pictures above again and give the name for point P in each picture.
16. _______________________________
17. _______________________________
#18 – 20: [5-2] Fill-in-the-blanks.
To find a point that is the same distance from three different locations,
I first need to put a (18.) ___________________ in the middle of each side
then I need to draw the (19.) ___________________ bisectors through these points
the point where the three lines intersect is called the (20.) ___________________
21. [5-2] Draw a circumscribed circle in the
area provided.
22. [5-2] Draw an inscribed circle in the
area provided.
23. [5-3] Fill-in-the-blanks with the given segment length from the picture.
AP = 2/3 (_____)
BP = 2/3 (_____)
CP = 2/3 (_____)
24. [5-3] Give the name for point P in the picture
_______________________________
25. [5-4] Find each length or measure. Segments UV and UW are midsegments.
RT = ______
UW = ______
m UVS = _______
26. [5-5] Fill-in-the-blanks with the proper side of the triangle.
AB + BC > ______
BC + AC > ______
AC + AB > ______
27. [5-5] Write the angles in order from smallest to largest.
________, ________,________
28. [5-5] Write the sides in order from shortest to longest.
________, ________,________
#29 – 31: [5-5] Tell whether a triangle can have sides with the given lengths (yes or no.)
29. ____________ 6.2, 8.1, 14.2
30. ____________ 1, 5, 7
31. ____________ 10, 13, 23
32. [5-5] Two sides of a triangle have lengths 19 and 28. The third side must be greater than
__?__, and less than __?__.
____________ greater than
____________ less than
#33 – 36 [5-7] Use the Pythagorean Theorem to find the length of the third side. Answer in
simplest radical form when necessary.
33. x = __________
34. x = __________
35. x = __________
36. x = __________
#37 – 42: [5-7] Classify each triangle with the given side lengths as acute, right, or obtuse..
___________________ 37. 9, 12, 16
___________________ 38. 11, 14, 24
___________________ 39. 15, 36, 39
___________________ 40. 20, 37, 41
___________________ 41.
7, 24, 25
___________________ 42. 8, 12, 14
#43 – 49: [5-8] Use the 45-45-90 triangle shown to fill in the chart. For #43, fill in the
relationship of the sides of a 45-45-90 triangle. Let x be the shortest side.
Show work below for #46 - 49.
a
43.
44.
x
8
45.
46.
b
47.
48.
49.
9
15
2 3
c
3 2
10
46.
47.
48.
49.
# 50 – 57: [5-8] Use the 30-60-90 triangle shown to fill in the chart. For #50, fill in the
relationship of the sides of a 30-60-90 triangle. Let x be the shortest side.
Show work below for # 56 & 57.
50.
a
51.
x
56.
53.
54.
55.
56.
57.
10
15
13
b
c
52.
5 3
6
9
57.
11