Which of the following statements is/are a restatement of Euclid's Fifth Postulate?I. Through a point P not on a line I, there exists exactly one line parallel to I.II. If a line intersects one of two parallel lines, then it intersects the other.III. The sum of the angles of a triangle is at least 180°.2.2I onlyIl onlyI and Il onlyO I, II, III and III onlyO III only

Which of the following statements is/are restatement of fifth postulate of Euclid

Answered: Which of the following statements…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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1. Which of the following is ALWAYS TRUE? Select ALL that apply. (There IS more than one correct answer.) A square is a parallelogram. A rectangle is a trapezoid. A rectangle is a rhombus. A rectangle is a quadrilateral. A parallelogram is a rhombus.
3. Complete the statements. If you dont know all of them, at least answer to a few please. A) In R2 of the ______________ are two straight lines that are not parallel and which are not secant. B) The form of equation________ does not exist for a plan. C) In R2, x = 2 is a straight line. In R3, x = 2 is____________. D) Consider the equation [x,y,z) = [0,-4, -2] + t [1,3, 5]. The symmetric equations are__________.
1. Prove that if two alternate exterior angles formed by two lines and a transversal are congruent, then the lines are parallel. (Use angles ZABG and ZECF as the two alternate exterior angles. Use only propositions E.1 - E.16. Do not use explicitly nor implicitly Euclid's fifth postulate. D A Search E C B H F G F HE
5. Select all true statements based on the diagram. A. Segment EB is congruent to segment AD. B. Segment DC is congruent to segment AB. C. Segment DA is congruent to segment CR D. Angle (B1. is congruent to angle ABE E. Angle CEB is congruent to angle DEA, F. Line /DA is parallel to line CB. G. Line DCIS parallel to line AB. (From Unit2 Lesson 1
Which of following statements are true? Select all that apply. A. p perpendicular to q B. q perpendicular to n C.m parallel to n D. p perpendicular to m
State and discuss that validity of the converse, inverse and contrapositive of each of the following statements in Euclidean geometry. If two lines are parallel, they do not interset. If ∠A and ∠B are both right angles, then ∠A ∼= ∠B. Given line m and point A not on line m, there is a circle centered at A that intersects m in at least one point.

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