Geometry
Chapter 6 Test Review
Name _________________________
Period ____
# 1 & 2: Tell whether each figure is a polygon. If it is a polygon, name it by the number of its sides. {6-1, Ex. 1}
1. _________________
_________________
3. m A = ___________
2. _________________
_________________
The base of the fountain is in the shape of a quadrilateral, as shown. Find the
measure of each interior angle of the fountain. {6-1, Ex. 3, C}
m B = ___________
m C = ___________
m D = ___________
4. ___________ Find the sum of the interior angle measures of a convex nonagon. {6-1, Ex. 3, A}
5. ___________ Find the measure of each exterior angle of a regular 15-gon. {6-1, Ex. 4, A}
6. In
EFGH, EH = 28, HZ = 9, and m EHG = 145°. Find FH and m FEH. {6-2, Ex. 1}
__________ = FH
__________ = m FEH
7. JKLM is a parallelogram. Find KL and m
__________ = KL
__________ = m L
L. {6-2, Ex. 2}
8. ____________ Three vertices of
{6-2, Ex. 3}
PQRS are P (-1, -3), R (6, 5), and S (5, 1). Find the coordinates of Q.
9. Show that WXYZ is a parallelogram for a = 4 and b = 3. {like 6-3, Ex. 1}
10. Determine if CDGH must be a parallelogram. Justify your answer. {6-3, Ex. 2}
____________________
________________________________
________________________________
11. Show that a quadrilateral with vertices K (-7, -3), L (2, 0), S (5, -4), and T (-4, -7) is a parallelogram by finding
the slopes of all four sides. {6-3, Ex. 3}
12. In rectangle PLCM, LC = 19, and LM = 23. Find PT and PM. {6-4, Ex. 1}
PT = ______________
PM = ______________
13. In rhombus EHKN, m NQK = (7z + 6)°, and m ENQ = (5z + 1)°. Find m HEQ and m EHK. {6-4, Ex. 2, B}
m HEQ = ____________
m EHK = ____________
# 14 & 15: Circle whether each conclusion is valid or invalid. If invalid, tell what additional information is needed to
make it valid. {6-5, Ex. 2}
__
__
__
__
14. valid/invalid
_____________________
Given: NP
PQ
QM
MN
Conclusion: MNPQ is a square.
 ____________________
______________________
 ____________________
______________________
_____________________
15. valid/invalid
_____________________
__
__ __
__
Given: NP
__
MQ, NM
__
PQ
NQ
MP
_____________________
_____________________
______________________
 ____________________
______________________
Conclusion: MNPQ is a rectangle.
# 16 & 17: Use the diagonals to determine whether a parallelogram with the given vertices is a rectangle, rhombus,
or square. Give all the names that apply. {6-5, Ex. 3}
16. _____________________
_____________________
_____________________
A (-5, 7), C (3, 6), E (7, -1), G (-1, 0)
17. _____________________
_____________________
_____________________
P (4, 1), Q (3, 4), R (-3, 2), S (-2, -1)
18. ___________ In kite BFJN, m JFR = 43° and m JNB = 68°.
Find m FBN. {6-6, Ex. 2}
19. ___________ In isosceles trapezoid MPSV, PV = 61.1 and YS= 24.7
What is MY? {6-5, Ex. 3, B}
20. __________ Find HR. {6-6, Ex. 5, B}
{6-1}
21. ___________________________: each segment that forms a polygon
22. ___________________________: the common endpoint of two sides
23. ____________________: a segment that connects any two nonconsecutive vertices
24. __________________________: a polygon that is both equilateral and equiangular [all sides are the
same length and all angles are the same measure]
25. __________________________: a polygon in which a diagonal can be drawn such that part of the
diagonal contains points in the exterior of the polygon
26. __________________________: a polygon in which no diagonal contains points in the exterior of the polygon
{6-2}
27. _________________________: a quadrilateral with two pairs of parallel sides
{6-4}
28. _______________________: quadrilateral with four right angles
29. _____________________: a quadrilateral with 4 congruent sides
30. _________________: a quadrilateral with four right angles and four congruent sides
{6-6}
31. ___________: a quadrilateral with exactly two pairs of congruent consecutive sides
32. ____________________: a quadrilateral with exactly one pair of parallel sides
33. ____________: each of the parallel sides of a trapezoid
34. ____________: the nonparallel sides of a trapezoid
35. ____________________ [of a trapezoid]: two consecutive angles whose common side is a base
36. ___________________________: a trapezoid where the legs are congruent
37. ______________________________________:the segment whose endpoints are the midpoints of the legs