2nd

Semester Geometry Review Packet: Completed Review packets are due at the exam

and are worth 20 extra credit points. Late review packets will not be accepted for any

reason.

In the diagram, ABCDE ~ FGHJK.

1) Find the value of x.

2) Find the perimeter of ABCDE.

Determine whether the triangles are similar. If so, write

a similarity statement and the postulate or theorem that

justifies your answer.

6)

7)

Determine the value of x that makes ΔABC ~ ΔXYZ.

8)

9)

2nd

Semester Geometry Review Packet: Completed Review packets are due at the exam

and are worth 20 extra credit points. Late review packets will not be accepted for any

reason.

In Exercises 10 and 11, find the length of AB .

10)

11)

Find the value of x.

12)

13) The panels in the sail are parallel. Find the length of x and y.

2nd

Semester Geometry Review Packet: Completed Review packets are due at the exam

and are worth 20 extra credit points. Late review packets will not be accepted for any

reason.

14) The perimeter of a rectangular corn field is 440 meters. The ratio

of its length to its width is 7:4. What is the length and width of

the field?

15) A cellular telephone tower casts a shadow that is 72 feet long, while a

tree nearby that is 27 feet tall casts a shadow that is 6 feet long. How tall

is the tower?

16) Plot the coordinate on the coordinate plane and find coordinate for point

E so that ~ABC ADE .

A(0, 0), B(0, 6), C(3, 0), D(0, 9), E(x, y)

17) You are making a scale model of your school’s baseball diamond as part of

an art project. The distance between two consecutive bases is 90 feet. If

you use a scale factor of 1/180 to build your model, what will be the distance

around the bases on your model?

Short Answer: Answer the following questions completely.

18) If two polygons are congruent, must they be similar? If two polygons are

similar, must they be congruent? Explain your answer.

19) Explain why all equilateral triangles are similar. Include sketches in your

answer.

20) How can you show that two triangles are similar?

2nd

Semester Geometry Review Packet: Completed Review packets are due at the exam

and are worth 20 extra credit points. Late review packets will not be accepted for any

reason.

Fill-in the blank with the most appropriate word to complete the sentence.

1) A set of three positive integers a, b, and c that satisfy the equation 222 bac is called a ____________________.

2) The longest side of a right triangle is called the

_________________.

3) Two triangles are ______________ if their corresponding angles are

congruent and their corresponding side lengths are proportional.

4) A triangle with two congruent sides and a right angle is called an

_____________________.

Find the unknown side length. Write your answer in simplest radical

form.

5)

6)

7)

Classify the triangle formed by the side lengths as right,acute, or obtuse.

8) 4, 5, 6

9) 11, 13, 23

10) 8, 8 3 , 16

11) Find the area of the isosceles triangle.

2nd

Semester Geometry Review Packet: Completed Review packets are due at the exam

and are worth 20 extra credit points. Late review packets will not be accepted for any

reason.

12) Find the geometric mean of 3 and 7.

Solve for the missing variable(s).

13)

14)

15)

Find the value of each variable. Write your answers in simplest radical

form.

16)

17)

18)

19)

x

12 8

4

6

y

x

12 3

x y

2nd

Semester Geometry Review Packet: Completed Review packets are due at the exam

and are worth 20 extra credit points. Late review packets will not be accepted for any

reason.

23) In baseball, the distance of the paths between each pair of consecutive

bases is 90 feet and the paths form right angles. How far does the ball need

to travel if it is thrown from home plate directly to second base?

Find the sum of the measures of the interior angles of the indicated

convex polygon.

1) Decagon

2) 18-gon

The sum of the measures of the interior angles of a convex polygon is

given. Classify the polygon by the number of sides.

3) 1080°

4) 3960°

Find the value of x.

5)

6)

7) The measure of one interior angle of a parallelogram is 42 degrees more

than twice the measure of another angle. Find the measure of each angle.

Find the value of the variables in the parallelogram.

8)

9)

2nd

Semester Geometry Review Packet: Completed Review packets are due at the exam

and are worth 20 extra credit points. Late review packets will not be accepted for any

reason.

10)

11) Find the length of the midsegment of the trapezoid.

Find the value of x.

12)

13)

Give the most specific name for the quadrilateral. Explain your answer.

14)

15)

2nd

Semester Geometry Review Packet: Completed Review packets are due at the exam

and are worth 20 extra credit points. Late review packets will not be accepted for any

reason.

16)

17) In the kite JKLM, find the measure of K .

18) Short Answer: Answer two questions fully with complete sentences.

a) In parallelogram ABCD, the measure of angle A is 65 degrees. Explain how

you would find the other angles measures of parallelogram ABCD.

b) A quadrilateral has four congruent sides. Is the quadrilateral a

parallelogram? Justify your answer.

c) The diagonals of a rhombus are 6 inches and 8 inches. What is the

perimeter of the rhombus? Explain.

d) Explain why a parallelogram with one right angle must be a rectangle.

Use the diagram to find the indicated measure.

1) Find the circumference.

2) Find the radius.

C = 113 km

2nd

Semester Geometry Review Packet: Completed Review packets are due at the exam

and are worth 20 extra credit points. Late review packets will not be accepted for any

reason.

Find the length of . Round answers to the nearest tenth.

3)

4)

Find the indicated measure. Round answers to the nearest tenth.

5)

6)

Find the area of the sector. Round to the nearest tenth.

7)

Copy

right

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JK

Find the radius of circle L.

Find the circumference of circle

C.

2nd

Semester Geometry Review Packet: Completed Review packets are due at the exam

and are worth 20 extra credit points. Late review packets will not be accepted for any

reason.

8)

Find the area of the regular polygon. Round to the nearest tenth.

9)

10) A circle with a diameter of 10 in. contains an inscribed square as

shown below. Find the area of the shaded region. Leave your answer in

terms of π.

11)

12) A circle has an 8 in. radius. Find the area of a sector whose arc

measures 135. Leave your answer in terms of π.

3

3

1 1

1

1

2nd

Semester Geometry Review Packet: Completed Review packets are due at the exam

and are worth 20 extra credit points. Late review packets will not be accepted for any

reason.

I II

IV III

10” 30”

15”

10”

13) How much more pizza is in a 12 in. diameter pizza than in a 10 in pizza?

14) Find the area of a regular pentagon with a 12.3 in. apothem and 8 in.

sides.

15) A gazebo is built in the shape of a regular octagon. Each side is 8 ft

long, and its apothem is 9.7 feet. To the nearest tenth, find the area

enclosed by the gazebo.

16) If a dart randomly hits the board, what is the probability that it will

hit in region II?

Tell whether the solid is a polyhedron. If it is, find the number of faces,

vertices, and edges.

1) 2)

2nd

Semester Geometry Review Packet: Completed Review packets are due at the exam

and are worth 20 extra credit points. Late review packets will not be accepted for any

reason.

Use Euler’s Theorem to find the value of n.

3) Faces: 8, Vertices: 12, Edges: n

4) Faces: 9, Vertices: n, Edges: 21

5) Faces: n, Vertices: 16, Edges: 24

Find the surface area and volume of the solid. The pyramids are

regular and the prisms, cones, and cylinders are right. Round your

answers to two decimal places, if necessary.

6)

17) Describe the shape that is formed by the cut made in the food shown.

18)

19)

20)

21)

22)

23)

24)

25)

26)

27)

2nd

Semester Geometry Review Packet: Completed Review packets are due at the exam

and are worth 20 extra credit points. Late review packets will not be accepted for any

reason.

14) The surface area of a lacrosse ball is approximately 20 square

inches. What is the diameter of the ball?

Tell how many common tangents the given circles have. Then draw the

common tangents.

1)

2)

QR is a radius of R and PQ is tangent to R. Find the value of x.

3)

4)

JM and KN are diameters of P. Identify the given arc as a major

arc, minor arc, or semicircle. Then find the measure of the arc.

5) mKLN

6) mJNL

7) mLM

Find the measure of the given arc.

8) mAC

2nd

Semester Geometry Review Packet: Completed Review packets are due at the exam

and are worth 20 extra credit points. Late review packets will not be accepted for any

reason.

9) mQRS

Find the value(s) of the variable(s).

10)

11)

12)

13)

14)

15)

2nd

Semester Geometry Review Packet: Completed Review packets are due at the exam

and are worth 20 extra credit points. Late review packets will not be accepted for any

reason.

16) Write the standard equation of a circle with a center of (-5, 4) and

has a radius of 6.

17) Write the standard equation of a circle that has a center of (4, –8)

and a point on the circle of (6, –2).

18) Graph the equation 22 3 6.25x y