Which is NOT equivalent to Euclid's 5th postulate?O a.In a triangle, the measure of the interior angles can only add up to 180 degrees.O b. Two parallel lines are equidistant.If a transversal intersects one of two parallel lines, then it must intersect the other.O d. Given a line, a line parallel to it can be constructed.Jump to...

Given, Which is not equivalent to Euclid's Fifth postulate?

Answered: Which is NOT equivalent to Euclid's 5th…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter3: Triangles

Section3.1: Congruent Triangles

Problem 26E: In Exercises 25 and 26, complete each proof. Use the figure shown below. Given: DCAB and ADBC Prove:...

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In Exercises 25 and 26, complete each proof. Use the figure shown below. Given: DCAB and ADBC Prove: ABCCDA PROOF Statements Reasons 1. DCAB 1. ? 2. DCABAC 2. ? 3. ? 3. Given 4. ? 4. If two lines are cut by a transversal, alternate interior s are 5. ACAC 5. ? 6. ? 6. ASA
In Q with ABQ and CDQ, mABmCD. Also, QPABandQRCD. a How are AB and CD related? b How are QP and QR related? c How are mA and mC related?
In Exercise 3 and 4, supply statements. Given: mAOBm1mBOCm1 Prove: OB bisects AOC PROOF Statements Reasons 1. ? 1. Given 2. ? 2. Substitution 3. ? 3. Angles with equal measures are congruent. 4. ? 4. If a ray divides an angle into two congruent angles, then the ray bisects the angle.
In Exercises 16 and 17, complete the statements and reasons in each proof. Given: ABC,P is the midpoint of AC-, and R is the midpoint of CB-. Prove: PRCB Statements Reasons 1.ABC 2. CC 3.P is the midpoint of AC-, and R is the midpoint of CB- 4. PCAC=12 and CRCB=12 5. PcAC=CRCB 6. CPR~CAB 7.______________________ 1.________________________ 2. ________________________ 3. ________________________ 4. Definition of midpoint 5._________________________ 6._________________________ 7. CASTC
A compass was used to mark off three congruent segment, AB, BC, and CD. Thus, AD has been trisected at points B and C. If AD=32.7, how long is AB?
In O, chord AB chord CD. Radius OE is perpendicular to AB and CD at points M and N, respectively. If OE=13, AB=24, and CD=10, then the distance from O to CD is greater than the distance from O to AB. Determine how much farther chord CD is from center O than chord AB is from center O; that is, find MN.
In the accompanying figure, m2=68, m8=112, and m9=110. a.Which lines r and s OR l and m must be parallel? ___________ b Which pair of lines r and s OR l and m cannot be parallel? ___________
In ABC,AC=5.3,BC=7.2 and BA=6.7. With angle bisectors as shown, which line segment is longer? a AE or EC? b CD or DB? c AF or FB?
Given that mAB=106 and mDC=32, find: a m1 b m2
In Exercises 25 and 26, supply the missing statements and reasons. Given: Quadrilateral PQST with midpoints A, B, C, and D of the sides Prove: ABCD is a PROOF Statements Reasons 1. Quadrilateral PQST with midpoints A, B, C, and D of the sides 1. ? 2. Draw TQ 2. Through two points, there is one line 3. ABTQinTPQ 3. The line joining the midpoints of two sides of a triangle is to the third side 4. DCTQinTSQ 4. ? 5. ABDC 5. ? 6. Draw PS 6. ? 7. ADPSinTSP 7. ? 8. BCPSinPSQ 8. ? 9. ADBC 9. ? 10. ? 10. If both pairs of opposite sides of a quadrilateral are , the quadrilateral is a

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