Download Geometry Name: Exam Review Chapter 6 Date

Geometry
Name: _________________________
Exam Review
Chapter 6
Date: _______________ Period: ___
State whether the figure is a polygon; if it is a polygon, state whether the polygon is convex or concave.
HINT: No curves, no gaps, and no overlaps!
1.
2.
3.
4.
Find the indicated measures of the polygon.
HINT: For interior angles use (n – 2)180 and for exterior angles use 360°.
5. Find the SUM of the measures of the interior angles of a octagon.
6. Find the SUM of the measures of the interior angles of a pentagon.
7. Find the SUM of the measures of the exterior angles of a 24-gon.
8. Find the SUM of the measures of the exterior angles of a hexagon.
9. Find the measure of EACH interior angle of a regular decagon.
10. Find the measure of EACH interior angle of a regular nonagon.
11. Find the measure of EACH exterior angle of a heptagon.
12. Find the measure of EACH exterior angle of a 18-gon.
13. How many sides does a regular polygon have, if the measure of an interior angle is 108°?
14. How many sides does a regular polygon have, if the measure of an interior angle is 60°?
Geometry
Exam Review
Chapter 6
Parallelograms!
Name: _________________________
Date: _______________ Period: ___
If a quadrilateral is a parallelogram then….
15. opposite sides are _________________________ and ______________________
16. opposite angles are _______________________
17. diagonals ______________________________________________
18. consecutive angles are ___________________________
ABCD is a parallelogram. m∡ABC = 40°, AB = 12, and CO = 8.
A
B
19. m∡BAD = ____________
O
20. DC = ____________
21. m∡BCD = _______________
D
C
22. AO = ______________
State whether each conditional statement is true. Write the converse of each conditional statement
and state whether it is true.
23. If a parallelogram is a square, then it is a rhombus.
24. If a parallelogram is a square, then it is a rectangle.
25. If a quadrilateral is a rhombus, then it is a parallelogram.
If a parallelogram is a rhombus then …..
26. if all 4 sides are ____________________________________
27. diagonals are ________________________________
28. diagonals bisect _____________________________________
Geometry
Exam Review
Chapter 6
If a parallelogram is a rectangle then …..
Name: _________________________
Date: _______________ Period: ___
29. if it has 4 _________________________ angles
30. diagonals are ________________________________
If a parallelogram is a square then …..
31. if all 4 sides are ____________________________________
32. if it has 4 _________________________ angles
Identify each parallelogram (rhombus, rectangle, square or parallelogram). Use the BEST fit.
33.
34.
35.
37.
36.
38.
BUCK is a parallelogram with diagonals intersecting at O. Use the given information to identify the
BEST type of parallelogram (parallelogram, rectangle, rhombus, or square) that the information
describes.
39. ̅̅̅̅
̅̅̅̅̅ ̅̅̅̅
40. ̅̅̅̅
̅̅̅̅ ̅̅̅̅
41. ̅̅̅̅
̅̅̅̅
42. ̅̅̅̅
̅̅̅̅
̅̅̅̅
̅̅̅̅
B
________________
K
O
________________
________________
U
________________
C
Geometry
Name: _________________________
Exam Review
Chapter 6
Date: _______________ Period: ___
Match the properties of a quadrilateral with all of the types of quadrilateral which have that property.
43. The diagonals are congruent.
44. Both pairs of opposite sides are congruent.
A. Parallelogram
45. Both pairs of opposite sides are parallel.
B. Rectangle
46. All angles are congruent.
C. Rhombus
47. All sides are congruent.
D. Square
48. Diagonals bisect the angles.
Kites!
If a quadrilateral is a kite then ……
49. it has two pair of _________________________ congruent sides.
50. one pair of opposite _______________________________ congruent.
51. what property must the diagonals have _______________________________________________________.
52. the longest diagonal _______________________________ the shortest diagonal.
53. the longest diagonal bisects the ______________________________ angles.
Trapezoids!
If a quadrilateral is a trapezoid then ……
54. it must have one pair of opposite sides __________________________________.
If a quadrilateral is an isosceles trapezoid then ……
55. the legs are ______________________
56. base angles are ___________________________________
57. diagonals are ________________________________
Geometry
Exam Review
Chapter 6
Algebra!
Name: _________________________
Date: _______________ Period: ___
58. Solve for x.
59. Solve for x.
60. ABCD is what type of polygon (be specific)? Find the length of the midsegment, x, and m∡D.
A
15
105°
B
x
D
C
25
61. Show that ABCD is a parallelogram by showing one pair of opposite sides CONGRUENT and
PARALLEL.
Distance Formula:
√(
)
B(2, 7)
A(-1, 5)
C(0,0)
D(-3,- 2)
(
)
Slope Formula:
Geometry
Name: _________________________
Exam Review
Chapter 6
Date: _______________ Period: ___
62. Use kite ABCD to find AB, BC, CD and DA. Round answers to the nearest 10th if necessary.
B
5
2
A
C
9
D
Take the time to review your proofs from 6.3 and 6.4! You will have 2 proofs on
your exam.
a. If the given is a parallelogram, use parallelogram justifications in your
proof.
b. If the given is congruent triangles, use triangle justifications (CPCTC) in
your proof.
c. Don’t forget the Alternate Interior Angles Theorem, Vertical Angles
Theorem and the Reflexive Property.
d. If you are proving that a quadrilateral is a parallelogram, the last
justification must be “if ….. then the quadrilateral is a parallelogram”.
e. If you are proving that triangles are congruent, the last justification must
be one of the triangle congruence justifications (SSS, SAS, AAS, ASA, HL).