Elementary Geometry for College Students
7th Edition
ISBN: 9780357746936
Author: Daniel C. Alexander; Geralyn M. Koeberlein
Publisher: Cengage Limited
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Chapter 3.1, Problem 6E
In a right triangle, the sides that form the right
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In the graph below triangle I'J'K' is the image of triangle UK after a dilation.
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What is the center of dilation?
(0.0)
(-5. 2)
(-8. 11
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Select all that apply.
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Select 2 correct answerts!
The side lengths are equal in measure.
The scale factor is 1/5.
The figure has been enlarged in size.
The center of dilation is (0.0)
8
10
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In the graph below triangle I'J'K' is the image of triangle UK after a dilation.
104Y
9
CO
8
7
6
5
I
4
3
2
J
-10 -9 -8 -7 -6 -5 -4 -3 -21
1 2 3 4 5 6 7 8 9 10
2
K
-3
-4
K'
5
-6
What is the center of dilation?
(0.0)
(-5. 2)
(-8. 11
(9.-3)
6-
10
Chapter 3 Solutions
Elementary Geometry for College Students
Ch. 3.1 - In Exercises 1 to 4, consider the congruent...Ch. 3.1 - In Exercises 1 to 4. consider the congruent...Ch. 3.1 - In Exercises 1 to 4. consider the congruent...Ch. 3.1 - In Exercises 1 to 4, consider the congruent...Ch. 3.1 - Consider ABC and ABD in the figure shown. By the...Ch. 3.1 - In a right triangle, the sides that form the right...Ch. 3.1 - In ABC, the midpoints of the sides are joined. a...Ch. 3.1 - a. Suppose that you wish to prove that RSTSRV....Ch. 3.1 - In Exercises 9 to 12, congruent parts are...Ch. 3.1 - In Exercises 9 to 12, congruent parts are...
Ch. 3.1 - In Exercises 9 to 12, congruent parts are...Ch. 3.1 - In Exercises 9 to 12, congruent parts are...Ch. 3.1 - In Exercises 13 to 18, use only the given...Ch. 3.1 - In Exercises 13 to 18, use only the given...Ch. 3.1 - In Exercises 13 to 18, use only the given...Ch. 3.1 - In Exercises 13 to 18, use only the given...Ch. 3.1 - In Exercises 13 to 18, use only the given...Ch. 3.1 - In Exercises 13 to 18, use only the given...Ch. 3.1 - In Exercises 19 and 20, the triangles to be proved...Ch. 3.1 - In Exercises 19 and 20, the triangles to be proved...Ch. 3.1 - In Exercises 21 to 24, the triangles named can be...Ch. 3.1 - In Exercises 21 to 24, the triangles named can be...Ch. 3.1 - In Exercises 21 to 24, the triangles named can be...Ch. 3.1 - In Exercises 21 to 24, the triangles named can be...Ch. 3.1 - In Exercises 25 and 26, complete each proof. Use...Ch. 3.1 - In Exercises 25 and 26, complete each proof. Use...Ch. 3.1 - In Exercises 27 to 32, use SSS, SAS, ASA, or AAS...Ch. 3.1 - In Exercises 27 to 32, use SSS, SAS, ASA, or AAS...Ch. 3.1 - In Exercises 27 to 32, use SSS, SAS, ASA, or AAS...Ch. 3.1 - In Exercises 27 to 32, use SSS, SAS, ASA, or AAS...Ch. 3.1 - In Exercises 27 to 32, use SSS, SAS, ASA, or AAS...Ch. 3.1 - In Exercises 27 to 32, use SSS, SAS, ASA, or AAS...Ch. 3.1 - In Exercises 33 to 36, the methods to be used are...Ch. 3.1 - In Exercises 33 to 36, the methods to be used are...Ch. 3.1 - In Exercises 33 to 36, the method to be used are...Ch. 3.1 - In Exercises 33 to 36, the method to be used are...Ch. 3.1 - In quadrilateral ABCD, AC and BD are perpendicular...Ch. 3.1 - In ABC and DEF, you know that AD, CF, and ABDE....Ch. 3.1 - Are quadrilaterals ABCD and EFGH congruent if: a...Ch. 3.1 - Are quadrilaterals ABCD and EFGH congruent if: a...Ch. 3.1 - In Exercises 41 to 42, complete each proof. Given:...Ch. 3.1 - In Exercises 41 to 42, complete each proof. Given:...Ch. 3.1 - Given: ABC; RS is the perpendicular bisector of...Ch. 3.2 - In Exercises 1 to 4, state the reason SSS, SAS,...Ch. 3.2 - In Exercises 1 to 4, state the reason SSS, SAS,...Ch. 3.2 - In Exercises 1 to 4, state the reason SSS, SAS,...Ch. 3.2 - In Exercises 1 to 4, state the reason SSS, SAS,...Ch. 3.2 - In Exercise 5 to 12, plan and write the two-column...Ch. 3.2 - In Exercise 5 to 12, plan and write the two-column...Ch. 3.2 - In Exercise 5 to 12, plan and write the two-column...Ch. 3.2 - In Exercise 5 to 12, plan and write the two-column...Ch. 3.2 - Prob. 9ECh. 3.2 - In Exercise 5 to 12, plan and write the two-column...Ch. 3.2 - In Exercise 5 to 12, plan and write the two-column...Ch. 3.2 - In Exercise 5 to 12, plan and write the two-column...Ch. 3.2 - Prob. 13ECh. 3.2 - Prob. 14ECh. 3.2 - Given: HJ bisects KHL HJKL Prove: KL PROOF...Ch. 3.2 - Given: HJ bisects KHL HJKL In Exercise 15, you cam...Ch. 3.2 - In Exercise 17 to 20, first prove that triangles...Ch. 3.2 - In Exercise 17 to 20, first prove that triangles...Ch. 3.2 - In Exercise 17 to 20, first prove that triangles...Ch. 3.2 - In Exercise 17 to 20, first prove that triangles...Ch. 3.2 - In Exercise 21 to 26, ABC is a right triangle. Use...Ch. 3.2 - In Exercise 21 to 26, ABC is a right triangle. Use...Ch. 3.2 - In Exercise 21 to 26, ABC is a right triangle. Use...Ch. 3.2 - In Exercise 21 to 26, ABC is a right triangle. Use...Ch. 3.2 - In Exercise 21 to 26, ABC is a right triangle. Use...Ch. 3.2 - In Exercise 21 to 26, ABC is a right triangle. Use...Ch. 3.2 - In Exercise 27 to 29, prove the indicated...Ch. 3.2 - In Exercise 27 to 29, prove the indicated...Ch. 3.2 - In Exercise 27 to 29, prove the indicated...Ch. 3.2 - In Exercise 30 to 32, draw the triangle that is to...Ch. 3.2 - Prob. 31ECh. 3.2 - In Exercises 30 to 32, draw the triangles that are...Ch. 3.2 - Given: RW bisects SRU Prove: RSRU TRUVRS HINT:...Ch. 3.2 - Given: DBBC and CEDE Prove: ABAE BDCECD HINT:...Ch. 3.2 - In the roof truss shown, AB=8 and mHAF=37. Find: a...Ch. 3.2 - In the support system of the bridge shown, AC=6ft...Ch. 3.2 - As a car moves along A section of the roadway in a...Ch. 3.2 - Because of the construction along the road from A...Ch. 3.2 - Prob. 39ECh. 3.2 - As marked and with HC, a are quadrilateral ABCD...Ch. 3.2 - Given: Regular pentagon ABCDE with diagonals BE...Ch. 3.2 - In the figure with regular pentagon ABCDE, do BE...Ch. 3.2 - Prob. 43ECh. 3.2 - HA hypotenuse-angle is also a valid method for...Ch. 3.2 - Prob. 45ECh. 3.3 - For Exercises 1 to 10, use the accompanying...Ch. 3.3 - For Exercises 1 to 10, use the accompanying...Ch. 3.3 - Prob. 3ECh. 3.3 - For Exercises 1 to 10, use the accompanying...Ch. 3.3 - For Exercises 1 to 10, use the accompanying...Ch. 3.3 - For Exercises 1 to 10, use the accompanying...Ch. 3.3 - For Exercises 1 to 10, use the accompanying...Ch. 3.3 - For Exercises 1 to 10, use the accompanying...Ch. 3.3 - Prob. 9ECh. 3.3 - For Exercises 1 to 10, use the accompanying...Ch. 3.3 - In Exercises 11 to 14, determine whether the sets...Ch. 3.3 - In Exercises 11 to 14, determine whether the sets...Ch. 3.3 - In Exercises 11 to 14, determine whether the sets...Ch. 3.3 - In Exercises 11 to 14, determine whether the sets...Ch. 3.3 - Prob. 15ECh. 3.3 - Prob. 16ECh. 3.3 - In Exercises 15 to 20, describe the line segments...Ch. 3.3 - Prob. 18ECh. 3.3 - Prob. 19ECh. 3.3 - Prob. 20ECh. 3.3 - Prob. 21ECh. 3.3 - Is it possible for a triangle to be: a an acute...Ch. 3.3 - A surveyor knows that a lot has the shape of an...Ch. 3.3 - In concave quadrilateral ABCD, the angle at A...Ch. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 28ECh. 3.3 - Prob. 29ECh. 3.3 - Prob. 30ECh. 3.3 - Prob. 31ECh. 3.3 - In Exercises 31 to 34, suppose that BC is the base...Ch. 3.3 - In Exercises 31 to 34, suppose that BC is the base...Ch. 3.3 - Prob. 34ECh. 3.3 - Suppose that ABCDEF. Also, AX bisects CAB and DY...Ch. 3.3 - Suppose that ABCDEF. Also, AX is the median from A...Ch. 3.3 - In Exercises 37 and 38 , complete each proof using...Ch. 3.3 - In Exercises 37 and 38 , complete each proof using...Ch. 3.3 - Prob. 39ECh. 3.3 - In Exercises 39 to 41, complete each proof. Given:...Ch. 3.3 - In Exercises 39 to 41, complete each proof. Given:...Ch. 3.3 - Prob. 42ECh. 3.3 - Prob. 43ECh. 3.3 - In PMN, PMPN, MB bisects PMN and NA bisects PNM....Ch. 3.3 - ABC lies in the structural support system of the...Ch. 3.3 - In Exercises 46 to 48, explain why each statement...Ch. 3.3 - Prob. 47ECh. 3.3 - Prob. 48ECh. 3.3 - Prob. 49ECh. 3.3 - Given : In the figure, a=e=66. Also, YZZW. If...Ch. 3.4 - In Exercises 1 to 6, use line segments of given...Ch. 3.4 - Prob. 2ECh. 3.4 - Prob. 3ECh. 3.4 - Prob. 4ECh. 3.4 - Prob. 5ECh. 3.4 - Prob. 6ECh. 3.4 - Prob. 7ECh. 3.4 - Prob. 8ECh. 3.4 - Prob. 9ECh. 3.4 - Prob. 10ECh. 3.4 - Prob. 11ECh. 3.4 - Prob. 12ECh. 3.4 - In Exercises 13 and 14. use the angles and lengths...Ch. 3.4 - Prob. 14ECh. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.4 - Prob. 17ECh. 3.4 - Prob. 18ECh. 3.4 - Prob. 19ECh. 3.4 - Prob. 20ECh. 3.4 - Prob. 21ECh. 3.4 - Prob. 22ECh. 3.4 - In Exercises 23 to 26, use line segments of length...Ch. 3.4 - Prob. 24ECh. 3.4 - In Exercises 23 to 26, use line segments of length...Ch. 3.4 - Prob. 26ECh. 3.4 - In Exercise 27 and 28, use the given angle R and...Ch. 3.4 - Prob. 28ECh. 3.4 - Complete the justification of the construction of...Ch. 3.4 - Prob. 30ECh. 3.4 - Prob. 31ECh. 3.4 - Prob. 32ECh. 3.4 - Prob. 33ECh. 3.4 - Prob. 34ECh. 3.4 - Prob. 35ECh. 3.4 - Draw a right triangle and construct the angle...Ch. 3.4 - Draw an obtuse triangle and construct the three...Ch. 3.4 - Prob. 38ECh. 3.4 - A carpenter has placed a square over an angle in...Ch. 3.4 - Prob. 40ECh. 3.5 - In Exercise 1 to 10, classify each statement as...Ch. 3.5 - In Exercise 1 to 10, classify each statement as...Ch. 3.5 - In Exercise 1 to 10, classify each statement as...Ch. 3.5 - In Exercise 1 to 10, classify each statement as...Ch. 3.5 - In Exercise 1 to 10, classify each statement as...Ch. 3.5 - In Exercise 1 to 10, classify each statement as...Ch. 3.5 - In Exercise 1 to 10, classify each statement as...Ch. 3.5 - In Exercise 1 to 10, classify each statement as...Ch. 3.5 - In Exercise 1 to 10, classify each statement as...Ch. 3.5 - In Exercise 1 to 10, classify each statement as...Ch. 3.5 - Is it possible to draw a triangle whose angles...Ch. 3.5 - Is it possible to draw a triangle whose angles...Ch. 3.5 - Is it possible to draw a triangle whose sides...Ch. 3.5 - Is it possible to draw a triangle whose sides...Ch. 3.5 - Prob. 15ECh. 3.5 - In Exercises 15 to 18, describe the triangle XYZ ,...Ch. 3.5 - Prob. 17ECh. 3.5 - In Exercises 15 to 18, describe the triangle XYZ ,...Ch. 3.5 - Two of the sides of an isosceles triangle have...Ch. 3.5 - The sides of a right triangle have lengths of 6cm,...Ch. 3.5 - Prob. 21ECh. 3.5 - One of the angles of an isosceles triangle...Ch. 3.5 - An auto parts dealer in Huntsville, Alabama at...Ch. 3.5 - A tornado has just struck a small Kansas community...Ch. 3.5 - In Exercises 25 and 26, complete each proof....Ch. 3.5 - Prob. 26ECh. 3.5 - In Exercises 27 and 28, construct proofs. Given:...Ch. 3.5 - In Exercises 27 and 28, construct proofs. Given:...Ch. 3.5 - Prob. 29ECh. 3.5 - In MNP not shown, point Q lies on NP so that MQ...Ch. 3.5 - In Exercises 31 to 34, apply a form of Theorem...Ch. 3.5 - In Exercises 31 to 34, apply a form of Theorem...Ch. 3.5 - Prob. 33ECh. 3.5 - In Exercises 31 to 34, apply a form of Theorem...Ch. 3.5 - Prove by the indirect method: Given: MPN is not...Ch. 3.5 - Prove by the indirect method: Given: Scalene XYZ...Ch. 3.5 - In Exercises 37 and 38, prove each theorem. The...Ch. 3.5 - In Exercises 37 and 38, prove each theorem. The...Ch. 3.5 - Prob. 39ECh. 3.5 - In isosceles MNP, MNMP. With point Q on MN,...Ch. 3.CR - Given: AEBDEC AEDE Prove: AEBDECCh. 3.CR - Given: ABEFACDF12 Prove: BECh. 3.CR - Given: AD bisects BC ABBCDCBC Prove: AEDECh. 3.CR - Prob. 4CRCh. 3.CR - Prob. 5CRCh. 3.CR - Given: B is the midpoint of AC BDAC Prove: ADC is...Ch. 3.CR - Prob. 7CRCh. 3.CR - Prob. 8CRCh. 3.CR - Given: YZ is the base of an isosceles triangle;...Ch. 3.CR - Prob. 10CRCh. 3.CR - Prob. 11CRCh. 3.CR - Prob. 12CRCh. 3.CR - Given: ABCDBADCDA Prove: AED is isosceles HINT:...Ch. 3.CR - Given: AC bisects BAD Prove: ADCDCh. 3.CR - Prob. 15CRCh. 3.CR - Prob. 16CRCh. 3.CR - Prob. 17CRCh. 3.CR - Name the longest line segment shown in...Ch. 3.CR - Prob. 19CRCh. 3.CR - Two sides of a triangle have lengths 15 and 20....Ch. 3.CR - Prob. 21CRCh. 3.CR - Prob. 22CRCh. 3.CR - Prob. 23CRCh. 3.CR - Prob. 24CRCh. 3.CR - Given: ABC is isosceles with base AB...Ch. 3.CR - Prob. 26CRCh. 3.CR - Prob. 27CRCh. 3.CR - Construct a right triangle that has acute angle A...Ch. 3.CR - Prob. 29CRCh. 3.CT - It is given that ABCDEF triangles not shown a If...Ch. 3.CT - 2. Consider XYZ triangles not shown a Which side...Ch. 3.CT - 3. State the reason SSS, SAS, ASA, AAS, or HL why...Ch. 3.CT - Write the statement that is represented by the...Ch. 3.CT - 5. With congruent parts marked, are the two...Ch. 3.CT - With ABDCBE and A-D-E-C, does it necessarily...Ch. 3.CT - Prob. 7CTCh. 3.CT - CM is the median for ABC from vertex C to side AB....Ch. 3.CT - Prob. 9CTCh. 3.CT - In TUV, TU. Exercises 9, 10 a If VT=7.6inches and...Ch. 3.CT - Prob. 11CTCh. 3.CT - Show all arcs in the following construction....Ch. 3.CT - Prob. 13CTCh. 3.CT - In TUV not shown, TUTVVU. Write a three-part...Ch. 3.CT - In the figure, A is the right angle,...Ch. 3.CT - Prob. 16CTCh. 3.CT - Complete all statements and reasons for the...Ch. 3.CT - Complete all missing statements and reasons in the...Ch. 3.CT - The perimeter of an isosceles triangle is 32cm. If...
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- Qll consider the problem -abu+bou+cu=f., u=0 ondor I prove atu, ul conts. @ if Blu,v) = (b. 14, U) + ((4,0) prove that B244) = ((c- — ob)4;4) ③if c±vbo prove that acuius v. elliptic.arrow_forwardQ3: Define the linear functional J: H₁(2) R by ¡(v) = a(v, v) - L(v) Л Let u be the unique weak solution to a(u,v) = L(v) in H(2) and suppose that a(...) is a symmetric bilinear form on H(2) prove that 1- u is minimizer. 2- u is unique. 3- The minimizer J(u) can be rewritten under 1(u) = u Au-ub, algebraic form 1 2 Where A, b are repictively the stiffence matrix and the load vector Q4: A) Answer 1- show that the solution to -Au = f in A, u = 0 on a satisfies the stability Vullfll and show that ||V(u u)||||||2 - ||vu||2 2- Prove that Where lu-ul Chuz - !ull = a(u, u) = Vu. Vu dx + fu. uds B) Consider the bilinea forta Л a(u, v) = (Au, Av) (Vu, Vv + (Vu, v) + (u,v) Show that a(u, v) continues and V- elliptic on H(2)arrow_forward7) In the diagram below of quadrilateral ABCD, E and F are points on AB and CD respectively, BE=DF, and AE = CF. Which conclusion can be proven? A 1) ED = FB 2) AB CD 3) ZA = ZC 4) ZAED/CFB E B D 0arrow_forward
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- 1) Given: MNPQ is a parallelogram with MP 1 NQ. Prove: MNPQ is a rhombus. Statement Reason M R Parrow_forward4) Find a proposition with three variables p, q, and r that is never true. 5) Determine whether this proposition is a tautology using propositional equivalence and laws of logic: ((p (bv (bL ← →¬p [1 6) Explain why the negation of "Some students in my class use e-mail” is not "Some students in my class do not use e-mail".arrow_forwardMilgram lemma B) Consider Show that -Au= f in a u=0 on on llu-ulls Chllullz 02 Prove that Where ||ul| = a(u, u) = vu. Vu dx + fonu.u ds Q3: Let V = H' (2), a(u,v) = CR, a(u,v) = (f,v) where Vu. Vv dx + Ja cuv dx and ||u|=|||| Show that a(u, v) is V-ellipiticly and continuity.arrow_forward
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