#2 ( Insert link if needed ) Required Additional ExercisesRead and study Euclid's constructions of: an equilateral triangle, the bisection of an angle, thebisection of a straight line segment, and the construction of a perpendicular thru a given point.They all may be found in the article http://mypages.iit.edu/~maslanka/24Prop.pdfThen solve the following two construction problems in the style of Euclid.1. At a given point on a given line describe a compass/straight edge construction of an angleequal to a given angle.Also, provide a proof that your construction is valid by using properties of congruenttriangles.2. On a given line segment describe a compass/straight edge construction of a perpendicularbisector.Then provide a proof that your construction is valid by using properties of congruenttriangles.

Answered: Image /qna-images/answer/9040747f-fc86-4d95-bc5c-bc5c40be0d6c.jpg

Answered: 2. On a given line segment describe a…

2. On a given line segment describe a compass/straight edge construction of a perpendicular bisector. Then provide a proof that your construction is valid by using properties of congruent triangles.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter3: Solving Equation And Problems

Section3.4: Using Equations To Solve Problems

Problem 26P

See similar textbooks

Related questions

Q: Solve the following optimization problem subject to max-(₁-4)²-(₂-4)² 21,22 x₁ + x₂ ≤ 4,2₁ + 3x2 ≤9

A: Given: The optimization problem is maxx1,x2-x1-42-x2-42. The given problem is subjected to x1+x2≤4,…

Q: Find the approximate error, relative approximate error, and absolute relative approximate error of…

A: The approximate error is calculated using the formula: Ea=Present value-Previous value. The relative…

Q: Population wealth as categorized by socioeconomic status classes (low, medium, high SES) is best…

A: An ordinal scale of measurement is a variable measurement used represent the order of variables and…

Q: Q4: For Figure1, explain the difference in the output if you share the object by shx-2, and scale…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Please solve, not just solve, teach X (2x+y)+2x = 0 X(x+2y) +2y = 0 [x² + xy + y² = 3=0 The system…

Q: QUESTION 1. Solve each of the following ODEs. If initial conditions are given, give the unique…

Q: Prove by induction that 7"-4" is a multiple of 3, for all ne N.

Q: 11. Fill-in the box. Given: Rectangle ABCD with diagonals line MA and line RK R Proof: A M Prove:…

A: We need to prove MR ≅ AK

Q: How many kg of rice costing *8 per kg must be mixed with 36 kg of rice costing * 5.40 per kg so that…

A: The expression y percent gain on x is same as: x1+y100.

Q: -t 82 Find the L.T of f(t) = 36² ² + 4 sin 6t -t ~Y Given :- f(t) = 3e-² + usinst - + 4 sinbt ] 1:5…

Q: Please teach not just solve (use hessian) . the following functions quasi-concave? Assume x ≥ 0 f(x)…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: 10/ Give a recursive definition of the sequence {a}, n = 1,2,3,...if an = 6n+2 11/ Find the least…

A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If…

Q: (a) Show that d(m, n) = |m²-n²| 1+ m²-n²| defines a metric on the set of natural numbers N. Hint:…

A: Given That: d(m,n)=|m2-n2|1+|m2-n2| To Show : a) d defines a metric on the set of natural number…

Q: Let be the set of all nonnegative integers and S be the class of all subsets of . In each of the…

Q: Help? [s] Read It DETAILS

Q: b) Graph the following trigonometric function for the interval 0 ≤x≤ 2: y=2 sin(x)

Q: Exercise #3 A Company • A company produces three products A, B, C. • For manufacturing three raw…

A: Given resource material data Raw Material→ Product ↓ P Q R A - 20 50 B 20 30 - C 30 20 40…

Q: Find the solution of the equation zz + Əx² ay² ich tends to zero as x→∞ and has the value cos y when…

A: Given : ∂2z∂x2+∂2z∂y2=e-x cosy To Find : solution of the Equation

Q: O a. The contraction mapping principle applies to the domain D=[0,1] and the function g: [0,1]→→R…

Q: Riley found a receipt for a pair of jeans for $123.87 $ ⁢ 123.87 , tax included. If the sales tax…

A: The particular percentage of a quantity can be determined by multiplying the quantity by the…

Q: Prove that if r^n and q^n are solutions to the recurrence relation of the form a_n = αa_(n−1) +…

A: Given recurrence relation is an=αan-1+βan-2 (1) Given that rn,qn are the solutions to…

Q: Hello! I have to find the domain of definition of this function: z = sqrt ( 9 - x^2 - 9y^2 ) Can…

A: The given function is z=9-x2-9y2. To Find: The domain of this function.

Q: Determine whether the line integral of each vector field (in blue) along the oriented path (in red)…

A: Given below clear explanation

Q: Use Fundamental Theorem of Calculus, Part 1, to find the derivative of the function: 9(a)-In (1 +6³)…

A: Fundamental Theorem of Calculus (Part 1): If fx is continuous on a, b, and the function Fx is:…

Q: Give the 4x4 matrix that rotates the points in R about the z-axis through an angle of -30°, and then…

A: We have to find the 4×4 matrix that rotates the points in R3 about the z-axis through an angle of…

Q: 2. Find the maximum and minimum values of the function f(x, y) = x² + y² − x − y + 1 on the…

A: Given: Let us consider the given function fx,y=x2+y2-x-y+1 and the vertices 0,0,2,0, and 0,2. To…

Q: 6. Devise a Newton algorithm for computing the fifth root of any positive real number.

A: Given : Positive real number To Find : Algorithm of Newton method for fifth root NOTE : According…

Q: Sep 11, 2022 11:59 Analytic Application 1- NFL Rushing and Fourth Down Conversions Availability Ends…

A: Given below clear explanation

Q: 2A.Imani starts her hieyele from rest and accelerates uniformly to a speed of 40 km/h in 6 minutes.…

Q: Determine the magnitude of the vector difference V' = V₂ - V₁ and the angle 0x which V' makes with…

Q: Please teach not solve Are the following functions quasiconcave, quasiconvex, both, or neither: -…

A: Given below all answers.

Q: (i) An electrostatic field in xy-plane is given by $(x, y) = 3x²y- y³. Find the stream function Y…

Q: Q2) If the complex nx n matrix A(t) is continuous on an interval I, then the solution of the system…

A: What is Vector Space: A vector space is a collection of elements referred to as vectors. There are…

Q: A sequence of pseudorandom numbers is generated as follows Xo = 4 x₁ = ( 6x₁-1 + 5 ) mod 13 if i > 0…

Q: 2. Consider the quadratic function aT Ga+ba in four variables, where 2 -1 -1 2 -1 -1 G: 2 -1 -1 2…

Q: 1. 01 3. re2 dr 2x )/ alu 4. psia(x)gla x ln(x) dx x²e-x dx

Q: y' = sqrt(x + y + 1)

Q: Find the values for a, b, c and d in the diagram below. Give reasons for your values. 2430 34° 59°…

Q: The point P(1, 0) lies on the curve y = sin( (1) 2 (a) If Q is the point (x, sin(¹77)), find the…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: 2. Solve the given differential equations by the indicated method. a) y" +4y' + 5y = 4e + 15x - 2…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: Find the surface area of the portion S of the cone z² = x² + y², where z ≥ 0, contained within the…

A: Given That : Equation of cone z2=x2+y2 contained within the cylinder y2 +z2≤4 To Find : Surface area…

Q: Q. 2. a) Find the limits of the following functions: lim sin 2x 52x² + x lim x²+12-4 x-2

Q: express 5x2 - 3x + 6 in terms of Legendre's polynomial.

Q: 8.17 Let f(t) be a T-periodic signal and let g(t) be the signal given by 1 8 (t) = ² ft = ² ft f(u)…

A: In this question, the concept of Periodic function is applied. Given, gt=1a∫t-atfudu.

Q: 1 A company employed 300 workers when it started and now employs 852 workers. (a) Calculate the…

A: Given: 1. A company employed 300 workers when it is started and now employs 852 workers. To find:…

Q: x ≥ 0 y ≥ -1 y ≤ 3 2x + y ≤ 7

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Q. 2. a) Find the limits of the following functions: 1. ii. sin 2x lim: x-02x²+x √x² +12-4 lim X-2…

Q: 120 students took part in a cross-country race. 30% of them finished the race within the qualifying…

A: The expression: "x% of y" is same as the expression: x×y100.

Q: show that(2+i, 1+i) is not a complex scalar multiple of (3+2i,4+i)

A: What is Complex Number: A complex number is the extended number system. This number is of the form…

Q: 13 0 Problem3: Suppose M | 1 20 004 024 a = 2,B of (B) Әр - B₁ B₂ B3 (a) Let f(B)=B'MB-a'ß. Express…

A: It is given that M=130120004, a=024, and β=β1β2β3.

Question

#2 ( Insert link if needed )

Required Additional Exercises
Read and study Euclid's constructions of: an equilateral triangle, the bisection of an angle, the
bisection of a straight line segment, and the construction of a perpendicular thru a given point.
They all may be found in the article http://mypages.iit.edu/~maslanka/24Prop.pdf
Then solve the following two construction problems in the style of Euclid.
1. At a given point on a given line describe a compass/straight edge construction of an angle
equal to a given angle.
Also, provide a proof that your construction is valid by using properties of congruent
triangles.
2. On a given line segment describe a compass/straight edge construction of a perpendicular
bisector.
Then provide a proof that your construction is valid by using properties of congruent
triangles.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

What is the general name of the point of concurrence for the three altitudes of a triangle?
Two sets of rails railroad tracks are equally spaced intersect but not at right angles. Being as specific as possible, indicate what type of quadrilateral WXYZ is formed.
For a given triangle such as ABC, what word describes the point of concurrency for athe three perpendicular bisectors of sides? bthe three altitudes?
Being as specific as possible, name the type of quadrilateral that ahas two pairs of congruent adjacent sides. bhas two pairs of congruent opposite sides.
When the diagonals of rhombus MNPQ are drawn, how do the areas of the four resulting smaller triangles compare to each other and to the area of the given rhombus? Exercise 46
Draw an obtuse triangle and construct the three perpendicular bisectors of its sides. Do the perpendicular bisectors of the three sides appear to meet at a common point?
Two streets meet to form an obtuse angle at point B. On that corner, the newly poured foundation for a building takes the shape of a parallelogram. Which diagonal, AC- or BD-, is longer?
A distributing company plans an Illinois location that would be the same distance from each of its principal delivery sites at Chicago, ST. Louis, and Indianapolis. Use a construction method to locate the approximate position of the distributing company. Note: Trace the outline of the two states on your own paper.
Explain how the figure below illustrates the Pythagorean Theorem for a triangle with legs of length 3 and 4
Classify as true or false: a If the vertex angles of two isosceles triangles are congruent, the triangles are similar. b Any two equilateral triangles are similar.
The sum of the measures of all three angles of the triangle in Review Exercise 30 is 180. If the sum of the measures of angles 1 and 2 is more than 130. what can you conclude about the measure of angle 3? 30.
a Does the similarity relationship have a reflexive property for triangles and polygons in general? b Is there a symmetric property for the similarity of triangles and polygons? c Is there a transitive property for the similarity of triangles and polygons?