2.
Download
1 / 12

MTH-5109 Pretest - PowerPoint PPT Presentation


  • 142 Views
  • Uploaded on

2. m AE = m AB. MTH-5109 Pretest. Identify the theorem that applies to the items below. 1. THEOREM NUMBER __________________________________. 24. THEOREM NUMBER __________________________________. 4. C. x. D. B. A. B. A. Area 1 = 200.96 cm 2. Area 2 = 50.24 cm 2.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'MTH-5109 Pretest' - hetal


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
Mth 5109 pretest

2. m AE = m AB

MTH-5109 Pretest

Identify the theorem that applies to the items below.

1.

THEOREM NUMBER

__________________________________

24

THEOREM NUMBER

__________________________________

4


Mth 5109 pretest

C

x

D

B

A

B

A

Area1 = 200.96 cm2

Area2 = 50.24 cm2

3. Given the circle below, if m ABC = x, determine a simplified expression for m ADC.

4. Given the 2 circles, determine:


Mth 5109 pretest

AB CF

B

A

F

G

C

E

D

5. Determine the perimeter of ΔBCF, ΔABF and ΔBDF.

BE is a perpendicular bisector to CF

AB is a tangent to the circle at B

AF is a tangent to the circle at F


Mth 5109 pretest

B

A

F

G

C

E

D


Mth 5109 pretest

  • mAOE = m ACE ______________

  • m BD = m BC ______________

  • m CE = m ED ______________

True Th. 14

False

True Th. 5


Mth 5109 pretest

Given: true state the theorem that applies given that:

D

Diameter of inner circle =

A

B

E

F

Diameter of outer circle

C

7. Which of the following statements are true? Which theorem supports your choice.

a) Circumference of the outer circle is 9 times the circumference of the inner circle.

False

b) Dark shaded area = 9 times the white area

False

c) Circumference of the inner circle is one-third of the circumference of the outer circle.

True Th. 11

True Th. 12

d) Dark shaded area = 8 times the white area


Mth 5109 pretest

m BC = 2 m true state the theorem that applies given that: AED – 2 mABD

A

B

E

D

C

STATEMENTS

JUSTIFICATIONS

8. Refer to the diagram to the right to prove the statement:

Use theorems to justify your work where it is appropriate.

Theorem 16

Theorem 15

Substitution


Mth 5109 pretest

Proj from Bracket true state the theorem that applies given that:

WALL

SHELF

Bracket

S P A N

9. Calculate the width of a shelf that is affixed to a wall as shown in the accompanying diagram. The shelf is attached to the wall using a bracket that makes contact with the wall over a distance of 36 cm. The shelf is strengthened by 60 cm span running from the outside edge of the shelf to the bottom of the bracket. An altitude that attaches the span to the intersection of the shelf and bracket fortifies it even more. Do not use Pythagorean Theorem.

Bracket2 = Span • Proj from Bracket

362 = 60 • Proj from Bracket

Proj from Bracket = 1296 ÷ 60

Proj from Bracket = 21.6

Th. 23

Proj from Shelf = 60 - 21.6

= 38.4

Shelf2 = Span • Proj from Shelf

Shelf2 = 60 • 38.4

Shelf2 = 2304

Shelf = 48 cm

Th. 23


Mth 5109 pretest

Th. 19 true state the theorem that applies given that:

Th. 25

Th. 23

Th. 23

A

M

H

B

C

D

  • Determine


Mth 5109 pretest

C true state the theorem that applies given that:

E

G

y

z

H

O

F

h

B

D

w

x

A

  • In the right triangle, h is the altitude from the hypotenuse.

  • Determine which statements below are true and if they are what theorem can be used to justify this?

True Th. 23

False

True Th. 25

  • In the diagram to the right find m EHF given:

m EC = 64; m FD =54; m EAC = 20; m CB = 120

STATEMENTS

JUSTIFICATIONS

Theorem 17


Mth 5109 pretest

C true state the theorem that applies given that:

E

mFB = mDF + mBD

mFB = 54 + 24

= 78º

G

H

O

F

B

D

mEF =

360º - (mFB + mBC + mCE)

A

mEF =

360º - (78 + 120 + 64)

= 360º - 262º = 98º

STATEMENTS

JUSTIFICATIONS

Theorem 16

Theorem 15


Mth 5109 pretest

B true state the theorem that applies given that:

21.7

30°

A

C

H

50

B

A

C

H

M

  • In the diagram to the right find .

Th. 20

Th. 24

  • In the diagram to the right:

  • Segment BM is a median and measures 5 cm.

  • Segment BH is an altitude and measures 4 cm. .

Th. 19

Th. 23