Solve and Be Sure to Show HOW You Got Your Answer
Solve and be sure to show HOW you got your answer.
Find the sum of the measures of the interior angles of a polygon having:
1. 9 sides2. 13 sides
Find the sum of the measures of the exterior angles of a polygon having:
3. 14 sides4. 109 sides
Find the measure of the remaining interior angle of each of the following figures.
5. hexagon with angles: 95, 154, 80, 145, 766. pentagon with angles of 116, 138, 94, 88
Find the measure of each interior angle of a regular polygon having:
7. 30 sides 8. 90 sides
Find the measure of each exterior angle of a regular polygon having:
9. 24 sides10. 45 sides
Can the given angle represent the measure of an exterior angle of a regular polygon? Explain why.
11. 4612. 1513. 2714. 72
Find the number of sides of a regular polygon if the measure of each interior angle is:
15. 16216. 14017. 168
Find the number of sides of a regular polygon if the measure of each exterior angle is:
18. 9019. 4520. 36
The diagonals of rhombus STUV intersect at W. Given that mUVT = 31.8, TU = 20, and TW = 17, find the indicated measures.
Find the value of the unknown(s). Show work to justify your answers!!!
(some pictures NOT drawn to scale)
27.28.
x = ______x = ______
29. regular hexagon 30. Find the number of sides of a regular n-gon
if the measure of an exterior angle is
Find n (number of sides) = ______
x = ______y = ______
31. 32.
k = ______
x = ______
33. 34. ABCD is a square.
DF = 2x - 3
AC = 3x + 7
x = ______
x = ______m1 ______
y= ______m2 = ______
b = ______length of AD = ______
perimeter of ABCD = _____
35. The figure is a rhombus 36. ABCD is a rhombus. 37. TRAP is an isosceles trapezoid
mRTP = 78
m1 = ______x = ______mTRA = ______
y = ______mODC = ______mRAP = ______
mABC = ______mAPT = ______
mDCB = ______OK = ______
If RP = 46, AT = 3b + 7 then b = ____
38. COAT is a kite. PSTU is a rectangle, ,
is the midsegment of isosceles trapezoid MRTU.
Fill in the blank with always, sometimes or never.
41. A rectangle is ______a parallelogram.
42. A parallelogram is ______a rhombus
43. A rhombus is ______a square
44. A quadrilateral is ______a trapezoid.
45. An isosceles trapezoid is ______a parallelogram.
46. A rectangle is ______a square.
List all the quadrilaterals for which the given property is true. Use the key:
I (Isosceles trapezoid), K (Kite), P (Parallogram), S (Square), R (Rectangle), RH (Rhombus), T(Trapezoid)
47. the diagonals are congruent48. diagonals are perpendicular
49. all sides are congruent50. all angles are congruent
51. diagonals bisect each other52. opposite sides are congruent
53. diagonals bisect opposite angles54. diagonals are congruent AND perpendicular
55. consecutive angles are supplementary56. exactly one pair of sides is parallel
For each quadrilateral named, three vertices are given. Graph these vertices and then find the location of the 4th vertex. Write its coordinates. Use yourknowledge of special quadrilaterals and coordinate geometry.
57. MATH is an isoscelestrapezoid. 58. MATH is a kite.
M (-2, 4) M (1, -1)
A (1, 2) A (-1, 3)
T (1, -1) T (1, 5)
H ______H ______
59. MATH is a rectangle. 60. MATH is a parallelogram.
M (-3, 0) M (-1, 1)
A (-2, 2) A (4, 2)
T (2, 0) T (2, -1)
H ______H ______
Find the area of each figure. Round answers to the nearest tenth.
61)______62)______
63)______
64) The exterior angles of a triangle are in the measure of , and . Find the measure of each exterior angle.
Tell whether each statement is always, sometimes, or never true.
65) As the number of sides of a polygon increases, the sum of the interior angles increases. ______
66) If the number of sides of an equiangular polygon is doubled, the measure of each exterior angle is halved. ______
67) The measure of an exterior angle of a regular decagon is greater than the measure of an exterior angle of a regular pentagon. ______
68) As the number of sides of a polygon increases, the sum of the exterior angles decreases.______
69) Write a two-column proof.
Given:
Prove: is a trapezoid.