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Dvinal [7]
3 years ago
13

Triangle BCD is rotated 80° clockwise about the origin to form ΔKLM. If m∠KLM = 30°, what is m∠BCD?

Mathematics
1 answer:
Luden [163]3 years ago
4 0

Answer:

The measure of ∠BCD would be 30°. i.e. m∠BCD = 30°.

Step-by-step explanation:

As triangle BCD is rotated 80° clockwise about the origin to form ΔKLM. We have been given m∠KLM = 30°.

We have to find m∠BCD?

As it is clear that when we rotate, reflect or translate any figure, we just make the image of original object. So, ΔKLM could be termed as the image of ΔBCD when a triangle BCD is rotated 80° clockwise about the origin to form ΔKLM.

As reflection, rotation and translation can be termed as rigid transformation, meaning the shape and size of the image and original object remains the same. In other words, we can establish the fact that image and original object (preimage) are congruent to each other.

As ΔKLM can be termed as a rigid transformation of ΔBCD, Hence they will be congruent to each other.

So,

            ΔKLM ≅ ΔBCD

As we know that corresponding parts of congruent triangles are termed as congruent -  according to CPCTC.

So,

            ∠BCD ≅ ∠KLM

As the measure of m∠KLM = 30°, and ∠BCD ≅ ∠KLM.

So, the measure of ∠BCD would be also 30°. i.e. m∠BCD = 30°.

<em>Keywords: rotation, reflection, translation, triangle</em>

<em> Learn more about rotation from brainly.com/question/4070508</em>

<em> #learnwithBrainly</em>

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Answer:When planning your writing, it is important to consider the best way to communicate information to your audience, especially if you plan to use data in the form of numbers, words, or images that will help you construct and support your argument.  Generally speaking, data summaries may take the form of text, tables or figures. Most writers are familiar with textual data summaries and this is often the best way to communicate simple results. A good rule of thumb is to see if you can present your results clearly in a sentence or two. If so, a table or figure is probably unnecessary. If your data are too numerous or complicated to be described adequately in this amount of space, figures and tables can be effective ways of conveying lots of information without cluttering up your text. Additionally, they serve as quick references for your reader and can reveal trends, patterns, or relationships that might otherwise be difficult to grasp.

So what’s the difference between a table and a figure anyway?

Tables present lists of numbers or text in columns and can be used to synthesize existing literature, to explain variables, or to present the wording of survey questions. They are also used to make a paper or article more readable by removing numeric or listed data from the text. Tables are typically used to present raw data, not when you want to show a relationship between variables.

Figures are visual presentations of results. They come in the form of graphs, charts, drawings, photos, or maps.  Figures provide visual impact and can effectively communicate your primary finding. Traditionally, they are used to display trends and patterns of relationship, but they can also be used to communicate processes or display complicated data simply.  Figures should not duplicate the same information found in tables and vice versa.

Using tables

Tables are easily constructed using your word processor’s table function or a spread sheet program such as Excel. Elements of a table include the Legend or Title, Column Titles, and the Table Body (quantitative or qualitative data). They may also include subheadings and footnotes. Remember that it is just as important to think about the organization of tables as it is to think about the organization of paragraphs. A well-organized table allows readers to grasp the meaning of the data presented with ease, while a disorganized one will leave the reader confused about the data itself, or the significance of the data.

Title: Tables are headed by a number followed by a clear, descriptive title or caption. Conventions regarding title length and content vary by discipline. In the hard sciences, a lengthy explanation of table contents may be acceptable. In other disciplines, titles should be descriptive but short, and any explanation or interpretation of data should take place in the text. Be sure to look up examples from published papers within your discipline that you can use as a model. It may also help to think of the title as the “topic sentence” of the table—it tells the reader what the table is about and how it’s organized. Tables are read from the top down, so titles go above the body of the table and are left-justified.

Column titles: The goal of column headings is to simplify and clarify the table, allowing the reader to understand the components of the table quickly. Therefore, column titles should be brief and descriptive and should include units of analysis.

Table body: This is where your data are located, whether they are numerical or textual. Again, organize your table in a way that helps the reader understand the significance of the data. Be sure to think about what you want your readers to compare, and put that information in the column (up and down) rather than in the row (across). In other words, construct your table so that like elements read down, not across. When using numerical data with decimals, make sure that the decimal points line up. Whole numbers should line up on the right.

Other table elements

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Quick reference for tables

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Centered on the page.

Numbered in the order they appear in the text.

Referenced in the order they appear in the text.

Labeled with the table number and descriptive title above the table.

Labeled with column a

Step-by-step explanation:

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