DATE _____ PD. ___ GEOMETRY TEST CHAPTER 11 ..., Slides of Geometry

GEOMETRY TEST CHAPTER 11 PRACTICE TEST. 1. Find the sum of the measures of the interior angles in the figure. 2. A regular pentagon has five congruent ...

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LAST NAME ___________________________________ DATE _____ PD. ___
GEOMETRY TEST CHAPTER 11 PRACTICE TEST
1. Find the sum of the measures of the interior
angles in the figure.
2. A regular pentagon has five congruent interior
angles. What is the measure of each angle?
3. The sum of the measures of the interior angles of
a convex quadrilateral is _____.
[A]
540
°
[B]
360
°
[C]
270
°
[D]
180
°
4. The base of a gazebo is a regular 20-gon with 6-
foot sides. Find its apothem, a
, to the nearest tenth
of a foot.
5. Find the number of sides of a regular polygon
with each interior angle equal to 120
°
.
6. Find the area of a regular dodecagon with radius
3 cm.
7. The perimeter of an equilateral triangle is 18.
Find its area.
8. Two similar trapezoids have areas 75
2
cm and
12
2
cm . Find the ratio of similarity.
9. The ratio of the side lengths of two regular
hexagons is 4 to 9. If the area of the smaller
hexagon is 16 square units, then the area of the
larger hexagon is _____.
[A]
256
81
sq. units
[B] 36 sq. units
[C] 64
9
sq. units
[D] 81 sq. units
10. Leila needs to make a poster that is 2.5 m by 5
m for the big game. The cost of the paper is $3.25.
Later she needs another poster with dimensions 1.25
m by 2.5 m. What is the paper for this poster likely
to cost?
11. Find the circumference of a circle with radius 7
cm.
Use
π
3
14
12. For a circle of radius 8 feet, find the arc length
of a central angle of 24
°
. Leave your answer in
terms of
π
.
13. Circle
O
has a radius of 7.39. If
m
AOB
is
112°, then find the length of
A
B
)
to one decimal
place.
14. An automobile has 20-inch diameter wheels. If
the wheels revolved three times after the brakes
were applied, the stopping distance was
approximately _____.
pf3
pf4
pf5

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Download DATE _____ PD. ___ GEOMETRY TEST CHAPTER 11 ... and more Slides Geometry in PDF only on Docsity!

GEOMETRY TEST CHAPTER 11 PRACTICE TEST

  1. Find the sum of the measures of the interior angles in the figure.
  2. A regular pentagon has five congruent interior angles. What is the measure of each angle?
  3. The sum of the measures of the interior angles of a convex quadrilateral is _____.

[A] (^540) °

[B] (^360) °

[C] 270 °

[D] 180 °

  1. The base of a gazebo is a regular 20-gon with 6- foot sides. Find its apothem, a , to the nearest tenth of a foot.
  2. Find the number of sides of a regular polygon with each interior angle equal to (^120) °.
  3. Find the area of a regular dodecagon with radius 3 cm.
  4. The perimeter of an equilateral triangle is 18. Find its area.
  5. Two similar trapezoids have areas 75 cm^2 and

12 cm. Find the ratio of similarity.^2

  1. The ratio of the side lengths of two regular hexagons is 4 to 9. If the area of the smaller hexagon is 16 square units, then the area of the larger hexagon is _____.

[A]

sq. units

[B] 36 sq. units

[C]

sq. units

[D] 81 sq. units

  1. Leila needs to make a poster that is 2.5 m by 5 m for the big game. The cost of the paper is $3.25. Later she needs another poster with dimensions 1. m by 2.5 m. What is the paper for this poster likely to cost?
  2. Find the circumference of a circle with radius 7 cm. (^) Use π ≈ 3. 14.
  3. For a circle of radius 8 feet, find the arc length of a central angle of 24 (^) °. Leave your answer in terms of (^) π.
  4. Circle O has a radius of 7.39. If m (^) ∠ AOB is 112°, then find the length of (^) AB

to one decimal place.

  1. An automobile has 20-inch diameter wheels. If the wheels revolved three times after the brakes were applied, the stopping distance was approximately _____.

GEOMETRY TEST CHAPTER 11 PRACTICE TEST

[A] 7.85 ft

[B] 157 ft

[C] 15.7 ft

[D] 26.2 ft

  1. Find the area of the shaded region.

24

60 °

  1. Each circle is tangent to the other two. If the diameter of the large circle is 12, the area of the shaded region is _____.

[A] 9 π sq. units

[B] 18 π sq. units

[C] 24 π sq. units

[D] 36 π sq. units

  1. Find the area of the shaded region. Use π≈ 314..

40 ° 8 cm

  1. Find the area of the circle with radius 2 cm. Use 3.14 for π.
  2. The figures are similar. Find the missing values.

P = 108

A =? 12 A = 180

P =?

6

  1. In this figure, each circle has a radius of 4 inches. What is the area of the portion outside the circles but inside the square? Express your answer in terms of (^) π.

16 in

[A] 256 – 64 π

[B] (^32) – 64 π

[C] (^256) – 16 π

[D] (^32) – 16 π

  1. The figure below represents the overhead view of a deck surrounding a hot tub. What is the area of

the deck? Use π ≈ 3. 14.

GEOMETRY TEST CHAPTER 11 PRACTICE TEST

[C] 112°

[D] 26°

  1. Find the measure of (^) ∠ 1.
  2. Find the measure of ∠ 1.

31. Solve the right triangle: α = 35 ° and a = 13;

find β , b , and c

c

a

b β

α

32. Given J b 7 , – 5 g and K b 4 , 3 g, find the

magnitude of (^) JK

v

to the nearest tenth.

  1. Write the ratio of legs to hypotenuse n a 45°- 45°-90° triangle, and a 30°-60°-90° triangle.
  2. Give the scale factor for the dilation of the square shown.

A B

D C

AB

DC

  1. Find the value of x to one decimal place.

[A] 19.

[B] 22.

[C] 0.

[D] 2.

  1. What are the coordinates of the vertices when the figure is reflected in line m?

x

y

–10 10

10

W Y

m X

[A] W ´(1, –2), X ´(–3, –5), Y ´(–5, 0)

[B] W ´(2, 7), X ´(5, 3), Y ´(0, 1)

[C] W ´(7, 2), X ´(3, 5), Y ´(1, 0)

[D] W ´(1, 2), X ´(3, –5), Y ´(–5, 0)

  1. (^) ∆ PQR below is rotated clockwise (^90) ° about the origin. Find the coordinates of the vertices of the

GEOMETRY TEST CHAPTER 11 PRACTICE TEST

image (^) ∆ P Q R ′ ′ ′.

  1. Suppose the points on the graph are translated

using translation vector PQ. Find the image of:

A. S B. (5, 4)

C. (^) ST

x

y

–10 10

10

R

S

T

Q

P

GEOMETRY TEST CHAPTER 11 PRACTICE TEST

Reference: [10.1.2.19] [24] 3.

Reference: [10.5.1.78]

[25] (^27)

Reference: [10.5.2.79] [26] [A]

Reference: [10.4.2.74] [27] 68°

Reference: [10.4.2.69] [28] [D]

Reference: [10.4.2.68] [29] 32°

Reference: [10.4.1.62] [30] 70°

Reference: [9.6.1.83] [31] β = °

≈ ≈

b c

Reference: [9.7.1.94] [32] 8.

Reference: [9.4.1.44c]

[33] 1:1: 2

1: 3 :

Reference: [8.7.1.96] [34] (^3)

Reference: [8.6.1.86] [35] [A]

Reference: [7.2.1.14] [36] [C]

Reference: [7.3.1.46] [37] P ´(4, 5), Q ´(0, 5), R ´(0, 0)

Reference: [7.4.2.60] [38] A. (0, –4) B. (11, 6) C. The segment with endpoints (0, –4) and (7, 8)