![kimjooin02](/avatars/2674.jpg)
kimjooin02
03.11.2020 •
Mathematics
Euclid, a Greek mathematician known as the “Father of Geometry,” wrote the book Elements, which recorded all of the mathematical knowledge of the time in an organized and logical fashion. Since 1482, more than a thousand editions of Elements have been published in many languages. In fact, it was considered to be required reading by all educated people until the twentieth century, and was still being used as a high school textbook as recently as 1980. In Elements, Euclid used construction techniques extensively, and so they have become a part of the geometry field of study. A compass and straightedge are used to create constructions.
As you complete the assignment, keep this question in mind:
How can congruent segments and lengths be created with a tool with no marked measurements? In this task, you will apply what you have learned in this lesson to answer this question.
Directions
Answer each of the following questions, reading the directions carefully as you go. Refer to the constructions you completed in the previous assignment to help answer the questions.Type all your responses into this document so you can submit it to your teacher for a grade. You will be given partial credit based on the completeness and accuracy of your explanations.
Your teacher will give you further directions about how to submit your work. You may be asked to upload the document, e-mail it to your teacher, or print it and hand in a hard copy.
Now, let’s get started!
Step 1: Copy a segment and an angle.
Which step in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment?
Explain how you could use the construction tool or a compass and straightedge to create a line segment that is twice as long as ("AB" ) ¯.
The construction of copying ?"QPR" is started below. The next step is to set the width of the compass to the length of ("AB" ) ¯. How does this step ensure that the new angle will be congruent to the original angle?
How is copying a line segment similar to copying an angle?
Step 2: Construct a perpendicular line.
In the step shown of the construction of a line through a point that is perpendicular to the given line, why must the compass point be placed on points A and B? How would the construction be different if the compass point were placed at random points on the original line?
Step 3: Construct an angle and a perpendicular bisector.
The construction of creating the perpendicular bisector of ("PQ" ) ¯ is started below. How would the construction be different if you changed the compass setting in the next step of the perpendicular bisector construction?
Solved
Show answers
More tips
- A Animals and plants Уход за джунгариками: полезные советы и рекомендации...
- L Legal consultation What Documents Are Required for a Russian Passport?...
- S Sport How to Choose Tennis Rackets?...
- H Health and Medicine AKDS Vaccination: Ensure Your Child s Safety...
- H Health and Medicine Naskol ko Opasen Ukus Kleshcha i Kak Ego Raspoznat...
- C Computers and Internet How to Delete Your Account on Odnoklassniki...
- H Health and Medicine What to Do When Your Jaw Locks Up?...
- G Goods and services What Are the Most Popular Services?...
- P Philosophy How did the concept of module arise in computer science?...
Answers on questions: Mathematics
- M Mathematics Reliability is the probability that a product or system will function when activated. Group of answer choices True False...
- M Mathematics HELP!! Determine the domain of the function (f0g)(x) where f(x)= 1/x+3, g(x)=2/x...
- M Mathematics The table shows the shipping costs for items of different values Which best describes the strength of the model? a weak positive correlation a strong positive correlation...
- M Mathematics Misha and her cousin Darius made muffins for the Clark family reunion. Misha made 17 more muffins than Darius. Dark is made 56 muffins. They put the same amount of muffins...
- M Mathematics Mayer High School s austerity committee wants to estimate the proportion of students that are pleased with the cleanliness of the campus. They consider two methods of...
- M Mathematics Match the lines m and n to the statements they represent...
- M Mathematics What is the shape of the cross section of a cube if the cut is made across the diagonal of the cube...
- M Mathematics What is the vertex of the equation f(x)=x²+4-5 is x= -2...
- M Mathematics Laura bought 5 raffle tickets to help support her sons school. the school sold a total of 1000 tickets. what is the probability that laura will win the raffle ticket?...
- M Mathematics Maya shaved her head and then began letting her hair grow. She represents the length \ellℓell of her hair, in centimeters, mmm months after she shaved her head using...
Ответ: