Unit 1: Basics of Geometry
Name (2 points) _____________________________
Geometry Honors- Crowe
Date_______________________
Use a compass, protractor, and ruler to construct the following problems. (4 points each)
1. Using your compass and a straight edge, construct a perpendicular bisector to AB. Be sure to
leave all of your compass markings.
A
B
2. Using your compass and a straight edge, construct a congruent segment to CD. Be sure to leave
all of your compass markings.
C
D
3. Recreate the angle ABC to the right of the diagram. Make sure to leave your compass marks.
A
B
C
4.
Create an angle bisector for angle XYZ. Make sure to leave your compass marks.
Y
Z
X
Find the midpoint and distance between the following points in the coordinate plane.
(4 points each)
A (2, 4) B (5, -1)
5. Midpoint:
6. Distance:
A (-3, -3) B (3, 5)
7. Midpoint:
8. Distance:
A (7, 2) B (5, 5)
9. Midpoint:
10. Distance:
Given the coordinates of one endpoint of AB and its midpoint, M, find the coordinate of the
other endpoint. (4 points each)
________ 11. B (-5, 1) M (1, -1)
_______12. A (4, 2) M (-2, 10)
Using Segment and Angle Addition Postulates, complete the following problems.
(5 points each)
13. B is between A and C on AC.
14. AM bisects <RAL
AB = x + 2
m<RAL = x + 32
BC = 2x – 6
m<MAR = x – 31
AC = 20
BC =
m<LAM =
15. B is between A and C on AC.
AB= –2x + 12
BC= 3x – 7
AC= 2x + 1
AC=_________
16. See diagram for angles.
m<ABD= 12x
m<DBC= 6x + 3(x–1)
m<ABC= 17 x +29
x=
A
D
A
B
Complete the following problems. (4 points each)
17. A boat at X(5, -2) needs to travel to Y(-6, 9) or Z(17, -3). Which point is closer?
18. If M is the midpoint of LN. LM 
1
3
x  and MN= – 2x , find MN. MN=__________________
2
8
(hint: your answer will be a fraction.)
19. If U is between TV, determine if U is the midpoint of segment TV. Circle Yes or No.
TU = 8x +11
UV = 12x – 1
Yes or No
TV = 70
Fill in the blank with the correct term. (3 points per problem)
20. Points that lie on the same line are called __________________ points.
21. The three undefined terms of Geometry are ___________, ___________, and ___________.
22. Geometric figures with the same measurement are __________________ figures.
23. When a line divides a segment into two congruent parts the line is called a segment
.
24. An _______________ is made of two rays with a common endpoint.
25. Lines that are traveling in the same plane, but never interest are ___________________ lines.
C