Unit 1 Review Geometry
1) Draw a line to match each term with a dimension. Use each term and dimension only once.
a) Plane 1) zero dimensions b) Point c) Space
2) one dimension
3) two dimensions d) Line 4) three dimensions
2) Answer the following questions regarding the picture to the right: a) Which two lines appear intersecting? ______ & ______ b) Which two lines appear parallel? ______ & _______ c) Which two lines appear skew? ______ & _______ d) Name three points that are collinear: ________________ e) Name three points that are NOT collinear: ________________ f) Name four points that are coplanar: ________________ g) Name four points that are NOT coplanar: _____________
 m n

O

A

M

T

G t

F

B
R
3) Answer the following questions with Always, Sometimes or Never. If necessary, draw examples and counterexamples to help you decide. a) Three points that are coplanar are _________ collinear. b) Two skew lines are _______ non-intersecting lines. c) Two non-parallel lines __________ intersect at a single point. d) Two parallel planes ____________ intersect a third non-parallel plane in two parallel lines. e) Three points that are non-collinear are _______ coplanar.
4) Answer the following using correct notation and symbols. a) Name a segment shown:_____________
B
D A b) Name a ray shown: ________________
E

F
C c) d)
Name a line shown: ________________
Name an angle shown: _________________
5) QR = 2x+5, QS =4x + 11, RS = 18, and Q, R & S are collinear, and R is between Q and S. Find the distance QS by answering the following questions. a) First, state the Segment Addition Postulate for the picture here.   
Q b) Now substitute the algebraic expressions above, and show work to solve for x.
R S x = ______ c) Substitute your x value to find:
QR = __________ RS= ____________ QS = ___________

6) Use the segment overlap theorem to solve the following problem:
AB = CD
AC = 8x – 2
BC = 2x + 3
BD = 5x + 19
A B C D
•
7) Name three DIFFERENT angles in the picture.
Use only the symbols and points shown.
____________ ___________ ___________
1
Name a point that is on the vertex of an angle (& which angle)______ _____
Name a point that is on the interior of an angle (& which angle) _____ _____
•
A
Name a point that is on the exterior of an angle(& which angle) _____ _______
8) Measure the angle shown Use a protractor, draw m

A=85

(to the nearest degree)
• R
Y •
Write result here: ___________________________
9) Use the Angle Addition Postulate to solve for x. Use correct notation. Show work.
m

ACB = 4x + 4
m

ACD = 8x – 28
m

BCD = 2x – 2
x = ______
10) Use the Angle Overlap Theorem to find measures of angles. SHOW WORK.
A • m

ACB = 3x + 2 m

ACD = 5x + 25 m
m


BCE = 8x + 10
ACB = m

DCE
C
B
•
D
E
•
x = ________ m

DCE= ______
11) Classify each of the following angles:
120

________________ 10

_________________ 0

_________________,
90

_________________ 180

_________________
• A
D
• C