1

Sections Covered

Chapter 6.1, 7.1-7.5, 9.1-9.5, 9.7, 5.7-5.8, 8.2-8.4, 10.1-10.5

Geometry – 3rd

Quarter Review Packet Name __________________________________________

Section 6.1

1. Tell whether the figure is regular or irregular.

2. Tell whether it is concave or convex

3. Find the sum of the measures of the interior angles

in a 14-gon.

4. Given the pentagon, find x.

5. Determine the number of sides a polygon has if the

sum of the interior angles is 2340.

6. Find the measure of each exterior angle of a regular

20-gon.

7. Find the measure of an interior angle in a regular

nonagon.

8. Find the sum of the measures of the interior angles

of a regular polygon if each exterior angle measures

30.

(2x)˚

(4x)˚

(3x)˚

(5x)˚ (4x)˚

2

L

KA

B

C

E

2 6

Section 7.1-7.5

1. If two figures are similar this means their angles

are ___________ and their sides are

_______________.

2. Solve for x:

2 1 3 5

7 4

x x

3. Given: ~JLM QST Find x and y

3. Given: ABC LEK Find x and y

4. If these two rectangles are similar, what is the

ratio of their perimeters?

5. Given the diagram below, state the reason why

:

a. AA~

b.SAS ~

c. SSS ~

d.AAS ~

e. Triangles are not similar

7. Using the diagram below, find the value of x and y.

8. Dylan observed that a tree was casting a 30 ft

shadow. A nearby house was casting a 20 ft shadow.

If the house was 24 ft high, how tall was the tree? Draw a picture to help

9. Given: a || b || c || d, lengths as shown below

and KP = 24

Find: MO

10. Using the diagram below, find the value of y.

ΔABC EDC

E

D

B

A

C

12

18

6

8

35º

(5x)º

(10y)º

3 16

5 y+3

2

y

x

3

6

5

a

b

c

d

F

G

H

J

K

M

O

P

5

2

8

J

L

M 2y + 1

9

3x - 2

T

S

Q

7

5

11

70

60

3

Sections 9.1-9.5, 9.7

Given the preimage of point A is located at (2, -4), find the image under the transformation.

1) Reflected over the x-axis 2) Reflected over y- axis 3) Reflected over y = x

Given the preimage of point A is located at (2, -4), find the image under the transformation. (Rotations are about the origin)

4) Rotated 90o Counterclockwise 5) Rotated 900 Clockwise 6) Rotated 180o Counterclockwise 7) Rotated 180o Clockwise

Graph the following and graph the transformation given the vector.

8) R (1, -1), S (-1,2 ), T (0, 3), U (4, 2) ; <-3, -1> 9) If B is at (50, -20) and B’ is at (-300, -40),

what is the translation vector?

10) Point D (-2, -8) was mapped to point D’’ (-3, 4) 11) Given ABC , A (2,0), B (0,2) and C (1, -3)

first by a reflection across the y-axis, and Rotate 90 then translate by vector 2,4

then by what translation vector?

45

8

4

State if the figure in #12-13 has line symmetry or rotational symmetry. If it has rotational symmetry, give the angle and order.

12) 13)

Sections 5.7-5.8, 8.2-8.4

1) Determine if the side lengths of 6, 9, and 14 form a 2) What is the sum of the lengths of the diagonals

triangle. If so, classify the triangle as obtuse, right, of an 8 by 15 rectangle?

or acute.

3) Find the altitude of the triangle below. 4) Find the missing side lengths of the right triangle.

5) Solve for x. 6) Find the height of the isosceles trapezoid.

8 8

8

x

34 20

12 15

24

54◦

5

C

BA

136

C

BA

42

12

12

?

60

2 6

?

60

10 3?

60

3 10

?

45

12?

45

7) Solve for the missing sides.

a) b) c)

d) e)

8) A boy was flying a kite and it got stuck in a tree. His mom determined that the kite was 34 feet up in

the tree. If she had a 40 foot ladder and angled it toward the tree, what was the angle of elevation?

9) Solve all missing sides and angles of the right triangles below:

a) b)

?

?

?

?

?

6

150˚

14 in

18 in

Sections 10.1-10.5

Formula Box: Fill-in the formulas below and make sure you know them from this moment on!

Area of a Rectangle: ___________________ Area of a Parallelogram: _______________________

Area of a Square: ______________________ Area of a Triangle: ___________________________

Area of a Trapezoid: ____________________ Median of a Trapezoid: ________________________

Area of a Rhombus : _ ______ _________ Area of a Kite:_ ______________ _________

Area of an Equilateral Triangle: ____________ Area of a Regular Polygon: _______

Area of a Circle: ______________ ________ Circumference of a Circle: ______________________

1) Find the area of a triangle with side lengths of 2) Find the diagonal of a rhombus with an area of 25, 25, and 15 60 and the length of the other diagonal is 15 cm.

3) Find the area of the parallelogram. 4) A trapezoid has a base with measures of 10 in.

a height of 15 in., and an area of 337.5. Find the

length of the other base.

5) Find the area of a regular hexagon 6) Find the area of a regular heptagon

that has a radius of 10. with a side of 9.

7

7) Find the circumference of a circle 8) Find the area of the figure.

given that the area is 169 .

9) Find the area of the figure. 10) Plot the Points given: A(-2, 3) B(0, 6) C(6, 2),and D(,-1)

Name the polygon. Then find the area and perimeter.

11) The base and the height of a rectangle are tripled. Describe the effect on the area of the triangle.

12) The radius of a circle is multiplied by 2/3. Describe the effect on the area of the circle.

13) A square has a side length of 10. If the area of the square is multiplied by 6, what is the effect on the side

length of the square?

Study! Check your notes, rework problems, check SharePoint, study with a buddy, etc.