2. Given: and EDCBCD ??? ECDBDC ??? Prove: ? BCD ? ? EDC

3. Given: D is the midpoint of AC , BDABDC ??? . Prove ? ABD ? ? CBD

4. Given: SGPG ? and STPT ? . Prove: GSTGPT ???

5. Given: CDAB // , and DB ??? EDBF ? . Prove: ? ABF ? ? CED

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Part 2: To work on narrowing down your topic chosen in the discussion board, choose an Invention Strategy(clustering, listing, freewriting, or outlining) to brainstorm the subject you narrowed down.

Complete the Invention Strategy you choose and attach your strategy work either in the same document of part 1 or submit as a separate file
Conclusion paragraph: Answer these questions in a well-developed paragraph discussion. Which strategy did you chose, and why? How the strategy worked for you? Will you use it again in the future? (place into the Part 1 document labeled Part 2).

Assignment Expectations
Length: Part 1 can be a list or a paragraph; Part 2 is the invention strategy work and conclusion paragraph answering the questions
Structure: Place all parts in one document if possible clearly marking them to show which part is being addressed; copy of invention strategy work can be uploaded as a separate picture/document or placed in the same document as a picture or list
References: N/A
Format: Save your assignment as a Microsoft Word document (.doc or .docx).
File name: Name your saved file according to your first initial, last name, and the module number (for example, “RHall Module 1.docx”)

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The power bases used by the leader.
The influence tactics used by the leader.
The leadership style of the leader.
The outcome (or potential outcome) of the situation.

Conclude by justifying whether you think this leader supports the values of conscious capitalism. Is the leader’s leadership style effective? Do you believe the leader acted ethically in the situation? Be sure to consider each tenet of conscious capitalism in your leader evaluation.
Next, imagine yourself as a practitioner of servant leadership. You have been appointed into the leadership role in this same circumstance. Explain how the situation would be different. Address the four criteria listed above in your discussion and incorporate the principles of conscious capitalism by explaining how your personal values and style are influenced by each tenet.
Strengthen your claims in each content section  with supporting citations and specific examples.

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Five large round objects (larger objects work better) such as a paper plate, soup can, paper towel roll, bike wheel, clock, etc.

Meterstick or metric sewing tape. If you do not have millimeters on your measuring device, please use this printable ruler .

Sewing thread or thin string to measure the circumference and diameter of each round object.

Project Steps:

With thread (or sewing tape if available), determine the amount of string needed to represent the circumference and diameter of each of your round objects.

Use a meterstick or tape measure to measure the string length for the circumference and diameter to the nearest millimeter (tenth of a centimeter).

Record your measurements in a table like the one that follows.

Calculate the ratio of the circumference to the diameter, C over D, and record the answers in your table.

Calculate the average of your C over D results.

Name of Object

Circumference ( C )

Diameter ( D )

C over D

What is the average value of your calculated C over D ratios?

What do you notice about the ratio of C over D?

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Important: Save your work and responses to the activity questions in a document on your computer.

Save the document as FirstName_LastName_Geometry_Tile_ConceptualProject.

It’s your turn to be the designer! Imagine you are in charge of designing a kitchen floor made of tiles. You must create your own tiling pattern for the floor of the kitchen. The floor tile must be a rectangle or square. Your tile should be a minimum of 6 inches by 6 inches, and your work should be done on a grid. Your pattern must be created using AT LEAST one pair of congruent triangles, however for FULL credit your design needs to include a minimum of TWO UNIQUE PAIRS of congruent triangles. All congruent triangle pairs must have their vertices labeled, and measurements for all sides/angles must be given for one triangle in each pair of congruent triangles. The other triangles must have congruency marks so that the measures of the angles and sides can be directly compared. Create your tiling pattern by using word processing software, GeoGebra or Desmos, or by drawing it on a piece of graph paper. You are also required to use AT LEAST 2 colors in your design, however full credit will be given only for three or more colors. Once your tiling pattern is complete, answer the four questions below.

Guidelines for tile:

Can be a square or rectangle with a minimum size of 6 by 6 inches

Dimensions for your tile must be shown or given

Design must be done on a graph or grid with x- and y-axes

Design must include a minimum of one pair of congruent triangles

Partial credit will be given for a tile with only one pair of congruent triangles

Full credit will be given for a tile with two or more pairs of congruent triangles. The two pair cannot be congruent to one another.

Design must use at least 2 colors.

Partial credit will be given for two colors

Full credit will be given for three or more colors

All vertices of congruent triangles must be labeled

Measures for angles/sides of one triangle from each pair of congruent triangles must be given.

Do not just ‘make up numbers’. Remember to use the Pythagorean Theorem to find parts of right triangles. Or, if you do your work by hand, measure with a ruler/protractor. If you use GeoGebra it is fairly easy to find the lengths/angle measures.

The second triangle in each pair must be marked with appropriate congruency markings.

Once you have created your tile pattern, answer the four questions below:

Question 1:

How can you prove your triangles are congruent by using one of the triangle congruency postulates? Provide a congruency statement for each pair of triangles that are congruent, and name the postulate you used and explain how your given measures justify your answer. This means directly compare corresponding congruent parts of the triangles. You must show which parts are congruent and their measures.

Question 2:

Could you use a different triangle congruence postulate to prove the triangles in your pattern are congruent? Which other congruence postulate can you use, and how do the measures of the corresponding parts support your answer. If there is not another congruency postulate you can use, explain why not.

Question 3:

How can you prove your congruent triangles are congruent by using a series of rigid transformations? Include each transformation and to what degree. For example, “translation up 2 units” or “reflection about the vertical axis.” Make sure if it is a series of transformations you give them in the correct order. Use congruencies of corresponding parts of the triangles to support your reply.

Question 4:

Could you use a different series of rigid transformations to prove the triangles are congruent? Describe the sequence of transformations that could be used OR explain why a different sequence would not produce congruent triangles.

Include your properly formatted image along with complete answers to the preceding four questions and upload for your teacher to grade. Use this rubric to guide your work.

Important: Save your work and responses to the activity questions in a document on your computer.

Save the document as FirstName_LastName_Geometry_Tile_ConceptualProject.

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Writing Assignment: Special Right Triangles

Each problem is worth 5 points.

Total points: 50

Solve the problems pertaining to special right triangles. Leave all answers as reduced radicals.

1. Find the value of x and y.

2. Find the value of x and y.

3. A ladder leaning against a wall makes a 60 o angle with the ground. The base of the ladder is 4 m from

the building. How high above the ground is the top of the ladder?

4. A regular hexagon is composed of 12 congruent 30 o

-60 o

-90 o

triangles. If the length of the

hypotenuse of one of those triangles is 18 3 , find the perimeter of the hexagon.

y 60

o

5. Find the value of x.

6. Find the value of x and y.

7. Find the value of x and y.

8. Determine the length of the leg of a 45 o – 45

o – 90

o triangle with a hypotenuse length of 15 inches.

9. An equilateral triangle has an altitude length of 36 feet. Determine the length of a side of the triangle.

10. Find x, y and z.

9.0.0.2.20101008.1.734229

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Provide a 500 word (or 2 pages double spaced) minimum reflection.
You MUST Provide a single thesis statements in your introductory paragraph.
Use of proper APA formatting and citations. https://perfectwriterblog.com/python/im-working-on-a-python-project-and-need-a-sample-draft-to-help-me-learn-in-this/ If supporting evidence from outside resources is used those must be properly cited.
Share a personal connection that identifies specific knowledge and theories from this course.
Demonstrate a connection to your current work environment. If you are not employed, demonstrate a connection to your desired work environment. 
You should not, provide an overview of the assignments assigned in the course. The assignment asks that you reflect how the knowledge and skills obtained through meeting course objectives were applied or could be applied in the workplace. 
 Dont forget that the grade also includes the quality of writing.

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