Question

1.     Given an angle PQR, describe a strategy to construct the bisector of this angle using...

1.     Given an angle PQR, describe a strategy to construct the bisector of this angle using only a compass and straightedge. Provide a sketch of this construction. Provide a deductive argument that your construction is correct.

Math   Geometry   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

NOTE: The compass opening needs to remain unchanged throughout the entire process. Decide the amount of opening arbitrarily and keep it unchanged throughout.

Step 1: Construct an arc from the vertex of the angle intersecting both sides of the angle.

Step 2: From each of the point of intersection, draw an arc in the interior of the angle.

Step 3: Obtain a point of intersection from the two arcs and draw a straight line passing through the vertex of the angle and the newly obtained point of intersection.

The argument behind the correctness of the construction is that the point A that we have obtained from the intersecting arcs is equidistant from the sides of the angle and so it is supposed to lie on the angle bisector.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In this activity, you'll construct a segment bisector by completing a geometric construction. In order to...
In this activity, you'll construct a segment bisector by completing a geometric construction. In order to construct a segment bisector, a line segment that divides another line segment into two congruent segments, you will want to use a straightedge and a compass. The first tool you need to know how to use is a straightedge, in order to create a line. A straightedge can work in many ways. If you're using actual paper and a pencil, a straightedge can be...
Given a length of 1, construct a triangle using only a compass whose perimeter is a...
Given a length of 1, construct a triangle using only a compass whose perimeter is a multiple of 6. Explain the steps in your construction and how you know it works
How do you construct a line segment of length 1/2 using compass and straightedge. I only...
How do you construct a line segment of length 1/2 using compass and straightedge. I only need the picture. Thanks.
For the following, give constructions using a straightedge and a compass with memory. You must prove...
For the following, give constructions using a straightedge and a compass with memory. You must prove that your construction works. Construct an equilateral triangle whose area is equal to that of a given square.
For the following, give constructions using a straightedge and a compass with memory. You must prove...
For the following, give constructions using a straightedge and a compass with memory. You must prove that your construction works. Construct a circle tangent to two given circles and having a radius equal to the length of a given line segment. Assume that the given line segment is long enough to make this possible.
3. Construct a 98% confidence interval estimate for the mean μ using the given sample information....
3. Construct a 98% confidence interval estimate for the mean μ using the given sample information. (Give your answers correct to two decimal places.) n = 26, x = 18, and s = 2.7
1. Find one ad that uses a central route processing strategy. Describe how you know they...
1. Find one ad that uses a central route processing strategy. Describe how you know they are using central route processing and why it is a good example of a central route message. 2. Find another ad, preferably for a similar product ,that uses a peripheral route processing strategy. Describe how they are using the strategy and why it is a good example. 3. Draw a conclusion: Based on what you know about the Elaboration Likelihood Model - which processing...
The topic is Logic. Argument Diagrams Directions: Using the numbers provided for each statement, construct an...
The topic is Logic. Argument Diagrams Directions: Using the numbers provided for each statement, construct an argument diagram for each argument. If you can create diagrams in a word document, the best way to send it is as a PDF file, but any format is okay as long as the diagram pattern is clear. Sending an attached picture is okay. If you cannot submit drawn diagrams, you can describe your diagram like as follows: Independent support = “1>3; 2>3” –...
Question 1: a: The measured parallax angle for the star Antares as observed during Earth’s orbit...
Question 1: a: The measured parallax angle for the star Antares as observed during Earth’s orbit is 0.008”. Here, I’m using the definition that this angle is half of its total apparent movement on the sky. Given this angle, calculate the distance to Antares. b: The angular diameter of Antares has been resolved in one study, and given as 41 milliarcseconds. Using your answer to part a above, calculate its linear diameter. How does this compare to the Sun’s? c:...
1. Describe at least three actions taken by the scrub when using an ESU. 2. Describe...
1. Describe at least three actions taken by the scrub when using an ESU. 2. Describe at least three safety precautions taken by the assistant circulator when applying the dispersive pad/grounding pad. 3. Describe the dangers of surgical plume, and identify at least two safety precautions that should be taken. 4. Describe the difference between laser light and the light from a lightbulb. 5. Describe the main components of a monopolar circuit. 6. In your opinion, why are the biomedical...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT