Geometry
Review Worksheet Chapter 1
Name:
The following is a list of vocabulary words from Chapter 1. Be prepared to use these words to
answer fill-in questions on the test. In other words, you do not have to know the definition word
for word, but you will have to be able to read a definition and fill in the word being described.
acute angle
adjacent angles
angle
angle bisector
area
base
between
bisector
circumference
collinear
complementary angles
congruent angles
congruent segments
coordinate
coordinate plane
coplanar
degree
diameter
distance
endpoint
exterior of an angle
height
interior of an angle
intersection
isometric drawing
line
liner pair
midpoint
net
obtuse angle
opposite rays
orthographic drawing
perimeter
plane
point
radius
ray
right angle
segment
segment bisector
straight angle
supplementary angles
undefined terms
vertex
vertical angles
In #1-2, complete the sentences with vocabulary words from the list above.
1. A(n) ____________________ divides an angle into two congruent angles.
2. ____________________ are two angles whose measures have a sum of 90º.
In #3-6, name each using correct notation.
3. the common endpoint of opposite rays GC and GB
4. four coplanar points
5. the line containing B and C
6. the plane that contains A, G and E
use for #3-6
For #7-8, find each length.
7. JL
8. HK
use for #7-8
9. Y is between X and Z, XY = 13.8 and XZ = 21.4. Find YZ.
10. Find the value of x and PR. Show all work.
11. U is the midpoint of TV , TU = 3x + 4 and UV = 5x – 2.
Find the value of x, TU, UV and TV. Show all work. (A sketch will help.)
12. E is the midpoint of DF , DE = 9x and EF = 4x + 10.
Find the value of x, DE, EF and DF. Show all work. (A sketch will help.)
13. Classify each angle as acute, right, obtuse or straight.
<VYX is
<VYZ is
<VYW is
<XYZ is
<XYW is
<ZYW is
14. m<HJL = 116º. Find the value of x and
m<HJK. Show all work.
15. NP bisects <MNQ, m<MNP = 6x – 12 and m<PNQ = 4x + 8.
Find the value of x and m<MNQ. Show all work. (A sketch will help.)
In #16-19, write whether the angles are adjacent, a linear pair, supplementary,
complementary, vertical or none of these. Write all that apply.
16. <1 and <2
17. <3 and <4
18. <2 and <5
19. <4 and <5
use for #16-19
In #20-21, find the measure of the complement and supplement of each angle.
20. comp =
supp =
21. comp =
supp =
For #22-23, find the perimeter and area of each figure. Show all work neatly.
22.
23.
24. What is the perimeter and area of a rectangle with base 10 in and height 13 in?
25. What is the area of a triangle with base 19 in and height 11 in?
26. A rectangle has perimeter 60 m and base 21 m. What is the length of the height and the area
of the rectangle?
For #27-28, find the circumference and area of each circle in terms of π. Then use the π
button on your calculator and round each answer to the nearest tenth.
27.
28.
29. The area of a triangle is 102 m2. The base of the triangle is 17 m. What is the height of the
triangle? Show all work.
In #30-33, Y is the midpoint of AB . Find the missing coordinates of each point.
30. A(3, 2); B(-1, 4); Y(?, ?)
31. A(5, 0); B(?, ?); Y(-2, 3)
32. A(?, ?); B(-4, 4); Y(-2, 3)
33. A(-4, 1); B(?, ?); Y(3, -2)
In #34-37, use the distance formula to find the distance between the pair of points. Round
to the nearest tenth if necessary. Show all work.
34. X(-2, 4) and Y(6, 1)
35. H(0, 3) and K(-2, -4)
36. L(-4, 2) and M(3, -2)
37. A(1, 6) and B(4, 2)
38. The coordinate of A is -3 and the coordinate of B is 0.5. Find AB.
39. Find the value of x and EF. Show all work.
In #40-42, classify each angle by its measure.
40. m<LMP = 70º
41. m<QMN = 90º
42. m<PMN = 125º
43. TV bisects <RTS. If m<RTV = 16x – 6 and m<VTS = 13x + 9, find the value of x and
m<RTV. Show all work. (A sketch will help.)
44. Find the perimeter and area of a rectangle with b = 8 ft and h = 4 ft.
45. Find the circumference and area of a circle with r = 15 m. Use the π button on your
calculator and round to the nearest tenth.
46. Find the midpoint of the segment with endpoints (-4, 6) and (3, 2).
47. M is the midpoint of LN . M has coordinates (-5, 1) and L has coordinates (2, 4). Find the
coordinates of N.
48. The net shown folds into a cube. If C is the front
of the cube, which side will be:
top:
right side:
bottom:
left side:
back:
49. The net shown folds into a cube. If B is the front
of the cube, which side will be:
top:
right side:
bottom:
left side:
back:
In #50-51, match the correct net to each three dimensional figure.
__________ 50.
A.
B.
C.
__________ 51.
D.
E.
F.
52. Make an isometric drawing of the cube structure on the isometric dot square provided.