UNIT 2 REVIEW GUIDE (CONSTRUCTIONS)
NAME ___________________________________________________PD _____ DATE ______________________
“There are no secrets to success. It is the result of preparation, hard work, and learning from failure.” –Colin Powell
COMPLETION Choose the BEST answer to complete each statement below.
_____
1. A geometric figure created with a straightedge and compass only is called a _____
a. construction
b. sketch
_____
c. drawing
d. all of the previous
2. If a point is on the perpendicular bisector of a segment, then it is ___________.
a. equidistant from the endpoints
b. divides the segment into two congruent
segments
_____
c. the midpoint of the segment
d. intersects the segment at its midpoint
3. The shortest distance from a point to a line is measured ___________________.
a. along the perpendicular segment from the
point to the line
b. along the angle bisector from the point to the
line
_____
4. If a point is on the bisector of an angle, then it is ________________________.
a. equidistant from the sides of the angle
b. divides the angle into two congruent angles
_____
c. along the segment bisector from the point to
the line
d. none of the previous
c. is the midpoint of the angle
d. all of the previous
5. When we construct the perpendicular bisector of a given segment, we obtain ___.
a. four congruent right angles
b two congruent segments
c. four congruent segments
d. a and b
PLANNING CONSTRUCTION OF ANGLES OF MANY SIZES Use what you know about duplicating angles
and bisecting angles, as well as how to construct 60 and 90 degree angles, to complete the chart below. Use this as a
resource to help you plan constructing (or describing how to construct) angles of many other sizes. Use your calculator.
6. EQUILATERAL 
7. PERPENDICULAR () LINES


60
90


______
______


______
______


______
______
PLEASE NOTE: This study guide’s purpose is to highlight key concepts from Unit 2:
Constructions. It is not intended to be all-inclusive. Further, it is not intended to replace
regular attendance, homework completion, and classroom participation.
CONSTRUCTIONS For problems 8 - 13 below, use the segments below:
_____________________________________
W
E
________________________________
D
0
_____________________________________________________________
T
H
8. Duplicate, by construction,
̅̅̅̅.
TH (above). Rename your new segment 𝑈𝑃
9. Duplicate, by construction, 2WE – MA. Name your new segment
10. By construction, divide
PI
TH (below) into four congruent segments.
_____________________________________________________________
T
H
11. Construct a segment below which is ¾ TH. Label your new segment
IF
___________
M
A
PLEASE NOTE: This study guide’s purpose is to highlight key concepts from Unit 2:
Constructions. It is not intended to be all-inclusive. Further, it is not intended to replace
regular attendance, homework completion, and classroom participation.
12. Duplicate, by construction,  LUV below. Name your new angle  GEO.
L
U
V
13. Duplicate, by construction, the sum of the
measures of ’s A, B, and C from the triangle
below. Label your new angle as LRG. A
construction line and starting point have been
provided for you. Remember: Do NOT change
your compass setting while swinging arcs on each
angle. When you complete your construction,
complete the following: The measure of LRG =
________.
14. Using what is given in a-c below, construct perpendiculars.
a.
Construct a perpendicular, given a point on a line:
PLEASE NOTE: This study guide’s purpose is to highlight key concepts from Unit 2:
Constructions. It is not intended to be all-inclusive. Further, it is not intended to replace
regular attendance, homework completion, and classroom participation.
b.
Construct a perpendicular bisector, given a line segment:
c.
Construct a perpendicular, given a point not on a line.
.
15. MATCHING Match each construction with its diagram.
a.
b.
c.
d.
_____ Construction of angle
bisector
_____ Construction of median
_____ Construction of
perpendicular bisector
_____ Construction of altitude
_____ Construction of 60 angle
e.
PLEASE NOTE: This study guide’s purpose is to highlight key concepts from Unit 2:
Constructions. It is not intended to be all-inclusive. Further, it is not intended to replace
regular attendance, homework completion, and classroom participation.
16. Recall the definitions of each of the following before constructing them in  ABC provided
below. Construction Tip: It may be helpful to sketch a labeled diagram before actually constructing
the figure.
ANGLE BISECTOR
Recall:
Angle bisector: ___________
_______________________
_______________________
Sketch:
Construction: Angle bisector
BX
MEDIAN
Recall:
Median: ___________
_______________________
_______________________
Sketch:
ALTITUDE
Recall:
Altitude: ___________
_______________________
_______________________
Sketch:
HINT: How can you find the midpoint
of a segment by construction?
HINT: * bisector, given a point not
on a line in disguise
Construction: Median
BM
16. Construct angles with degree measure as indicated:
a. )
135 
b.) 15
Construction: Altitude
̅̅̅̅
𝑪𝑯
PLEASE NOTE: This study guide’s purpose is to highlight key concepts from Unit 2:
Constructions. It is not intended to be all-inclusive. Further, it is not intended to replace
regular attendance, homework completion, and classroom participation.
17. Describe how to construct, step by step, angles with each of the measures below. HINT: Using
a chart (page one of study guide) may help you in putting your plan into words.
a. 120 ____________________________________________________________________
__________________________________________________________________________
b. 45 ____________________________________________________________________
__________________________________________________________________________
c. 22 ½  ___________________________________________________________________
_________________________________________________________________________