Pre-AP Geometry: Unit 1 – Constructions Involving Segments and Angles
Practice – Constructions Involving Segments and Angles
pp 13-27
Name ________________________________ Date ________________ Period _________
Using a ruler, measure the segments below with the indicated units. Measure to the nearest 0.1 cm
1
or
inch.
8
1.
1.
_________ in
2.
_________ in
B
A
2.
C
D
3. __________ cm
3.
F
E
Use the above segments and only a compass and straight edge, construct the following segments.
Do not erase your construction marks.
4.
Construct segment with length CD. Label the new segment PQ .
5. Construct a segment in the space below with length CD + 2EF  AB. Label the new segment RS .
6.
Make a scalene triangle with side lengths AB, CD, and FE.
Pre-AP Geometry: Unit 1 – Constructions Involving Segments and Angles
Using a protractor, measure the given angles to the nearest degrees.
7.
7.
_________
8.
8. __________
9. Construct a 60 angle.
10. On the construction above, construct a 30 angle.
11. Construct an equilateral triangle with each side length equal to AB.
Pre-AP Geometry: Unit 1 – Constructions Involving Segments and Angles
12. Follow the steps to inscribe a regular hexagon in a circle.
a. In the space below, construct a circle.
b. Without changing the width of your compass, place your compass point on the circle and
make an arc mark on the circle.
c. Move the compass point to the new arc, and then make a second arc mark along the circle.
d. Continue until you have gone all the way around the circle.
e. Connect consecutive arc marks.
13. How could you inscribe an equilateral triangle in a circle?
Pre-AP Geometry: Unit 1 – Constructions Involving Segments and Angles
14. Crazy old Mrs. Gregson has graded her geometry tests. However, instead of passing them back to the
students, she has buried them in her backyard. She has left a map for her students to find them. Follow
the directions using only a compass and straight edge (Use your ruler only when given a specific
measurement) to find where the tests are buried. Do not erase construction marks.
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Draw a segment from the turtle to the bear trap.
Draw a segment from the midpoint of segment TB to the oil well. Call the midpoint M.
From the battle ship, go toward the roses the exact length of segment MO. Call that point Q.
Draw KQS.
Bisect the angle made by the key, Q and the battleship. KQS
Travel along the angle bisector the length of segment RO. Call that point Y.
⃗⃗⃗⃗⃗ as a side, construct an angle of equal measure to BMO.
Using Y as the vertex and 𝑌𝑄
Travel toward the oil well from Y along the ray made in the previous step 4.6 cm.
Mark that spot with and X. You have found the tests!
B
T
O
K
S
R