Concept explainers
a.
Give the most descriptive name.
a.
Answer to Problem 1RP
Parallelogram.
Explanation of Solution
Given information:
A quadrilateral whose consecutive sides measure
Calculation:
A quadrilateral whose consecutive sides measure
The descriptive name is parallelogram opposite sides is parallel and congruent.
Hence, the name is parallelogram.
b.
Give the most descriptive name.
b.
Answer to Problem 1RP
Kite.
Explanation of Solution
Given information:
A quadrilateral whose consecutive sides measure
Calculation:
A quadrilateral whose consecutive sides measure
The descriptive name is kite both pairs of consecutive are congruent but opposite sides are not congruent.
Hence, the name is Kite.
c.
Give the most descriptive name.
c.
Answer to Problem 1RP
Trapezoid.
Explanation of Solution
Given information:
A quadrilateral with consecutive
Calculation:
A quadrilateral with consecutive angles measure
The descriptive name is trapezoid.
Hence, the name is trapezoid.
d.
Give the most descriptive name.
d.
Answer to Problem 1RP
Square.
Explanation of Solution
Given information:
A quadrilateral whose diagonals are perpendicular, congruent and bisect each other.
Calculation:
A quadrilateral whose diagonals are perpendicular, congruent and bisect each other,
The descriptive name is square
Hence, the name is square.
e.
Give the most descriptive name.
e.
Answer to Problem 1RP
Square.
Explanation of Solution
Given information:
A quadrilateral whose congruent diagonals bisect each other and bisect angles.
Calculation:
A quadrilateral whose congruent diagonals bisect each other and bisect angles,
The descriptive name is square
Hence, the name is square.
Want to see more full solutions like this?
Chapter 5 Solutions
Geometry For Enjoyment And Challenge
Additional Math Textbook Solutions
Elementary Statistics: Picturing the World (7th Edition)
Introductory Statistics
A First Course in Probability (10th Edition)
Elementary Statistics (13th Edition)
Pre-Algebra Student Edition
University Calculus: Early Transcendentals (4th Edition)
- 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
- 1) In parallelogram EFGH, diagonals EG and FH intersect at point I such that EI = 2x - 2 and EG = 3x + 11. Which of the following is the length of GH? a) 15 b) 28 c) 32 d) 56arrow_forward5) Which of the following are properties of all squares: 1. Congruent diagonals 2. Perpendicular diagonals 3. Diagonals that bisect vertex angles a) 1 and 2 only b) 1 and 3 only c) 2 and 3 only d) 1, 2, and 3arrow_forward6) In an isosceles trapezoid HIJK it is known that IJ || KH. Which of the following must also be true? a) IJ = KH b) HIJK c) HIJK d) IJ KHarrow_forward
- 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
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning