Fourth Six Weeks’ Test Review

Find the Geometric mean between 4 and 25.

=10

NM=9, MK=4, Find JM.

=6

4

25x =10

Find x

What equation can be formed?

g

t

m

2 2 2g t m

6

8

x =10

Find x

Find the leg of the right triangle:

15

17

x =8

20

16

x=12

Find x

12

18

x 21.63Find x

1515

24

x

Find x

1515

24

X= 9

1212

45o

x

12 2

=12

Find x

Find x

8

8

x 8 2

x

10

1010 2

4545oo-45-45oo-90-90oo

55 55

55

2

8

x 4 2

4545oo- 45- 45oo--9090oo

3030oo-60-60oo-90-90oo

30

60

3 3

6

x

3030oo-60-60oo-90-90oo

30

60 4x2

An equilateral triangle has a side of 12. What is its altitude?

6 3

10 10

10

x5 3

What kind of triangle has sides 41, 40 and 9?

Right

What kind of triangle has sides of 8, 12 and 18? Obtuse

Complete the given Ratio:

sin

C

B

A

c

b

a

aA

c

Complete the given Ratio:

cos

C

B

A

c

b

a

bA

c

Complete the given Ratio:

sin A

C

B

A

c

b

a

a

c

Complete the given Ratio:

tan A

C

B

A

c

b

a

a

b

Complete the given Ratio:

cos A

C

B

A

c

b

a

b

c

Complete the given Ratio:

sin B

C

B

A

c

b

a

b

c

Complete the given Ratio:

tan B

C

B

A

c

b

a

b

a

Complete the given Ratio:

cos B

C

B

A

c

b

a

a

c

Use your Calculator to find…

sin 23 0.3907

Use your Calculator to find…

tan ___ 1.88162

Set up a correct ratio to find x:

29

8x

8sin 29

x

Set up a correct ratio to find x:

cos3418

x

34 18x

Set up a correct ratio to find x:

tan 4428

x44

28

x

Set up a correct ratio to find x:

29

8x

8sin 29

x

sin 3520

x

Solve for x:

11.47x

cos7212

x

Solve for x:

3.71x

20sin 64

x

Solve for x:

22.25x

11cos

13x

Solve for x:

32.2x

14tan 41

x

Solve for x:

16.11x

17sin

20x

Solve for x:

58.2x

14tan

9x

Solve for x:

57.3x

12cos72

x

Solve for x:

38.8x

Fill in the blank….

cos ___ sin 50 40

What term describes only the blue polygons?

Convex

Regular

What term describes only the blue polygons?

What is the relationship between an interior and exterior angle of a polygon ?

Supplementary

For polygons to “fit” around a vertex, the sum of their interior angles must be 360

A regular n-gon has lines of symmetry and rotational of360/n degrees

n

Find the sum of the interior angles of a decagon:

1440

Find the measure of 1 interior angle of a regular 18-gon

160

Find the sum of the exterior angles of a 55-gon

360

Find the measure of one exterior angle of a regular 24-gon

15

The sum of the interior angles of what polygon is 4500? 27-gon

The measure of 1 interior angle of what regular polygon is 170?

36-gon

The measure of 1 exterior angle of what regular polygon is 8?

45-gon

A regular octagon has 8 lines of symmetry and what degree of rotation? 45

The sum of its interior angles is 4 times the sum of its exterior angles. decagon

?

What regular polygon is missing

Another hexagon

What regular polygon is missing

?

Another Octagon

What’s the symmetry of a regular decagon?

10 lines, 36 degr. rotational

Find x (Given a regular octagon)

x

X = 90 degrees

What 3 regular polygons will tessellate the plane? (name 1)

Equilateral triangles

Squares

Regular Hexagons

x

52

6.2"

3"

NK

LM

:GIVEN MLNK

FIND x 6.2x

x

52

6.2"

3"

NK

LM

:GIVEN MLNK

FIND x 3x

:GIVEN MLNK

FIND x

x

52

6.2"

3"

NK

LM

52x

:GIVEN MLNK

FIND x

x52

6.2"

3"

NK

LM

128x

x 3"

8"

HE

GF

:GIVEN EFGH

FIND x 8x

Is the Quadrilateral a parallelogram?

YES

Is the Quadrilateral a parallelogram?

YES

Is the Quadrilateral a parallelogram?

NO

Is the Quadrilateral a parallelogram?

NO60

60

Is the Quadrilateral a parallelogram?

YES

6"

6"

35

35

Is the Quadrilateral a parallelogram?

YES

72

72

72

Is the Quadrilateral a parallelogram?

NO

90

Is the Quadrilateral a parallelogram?

NO

6"6"

6"

Is the Quadrilateral a parallelogram?

YES

108

72

72

Describe the symmetry of an average parallelogram...

- No lines

- 180o rotational

Complete the Complete the Theorem….Theorem….

The diagonals of a parallelogram____________.

BISECT

EACH OTHER

Opposite sides of a parallelogram are__________.congruent.(They are also parallel, but that is in the definition, not a theorem.)

If the opposite angles of a quadrilateral are congruent, then__________

…then the quadrilateral is a parallelogram.

Consecutive angles of a parallelogram are ____________.Supplementary.

Always, Always, Sometimes, or Sometimes, or Never...Never...

The diagonals of a parallelogram _________ bisect each other.

Always

A quadrilateral is __________ a parallelogram,Sometimes

The End