Refer to the figure below. Make use of Euclid's axioms and postulates. Line AB crosses lines CD and EF. Angles 1, 2, 3, and 4 are the angles formed by intersecting lines AB & CD. Angle 2 is greater than 90°. Angles 5, 6, 7, and 8 are the angles formed by intersecting lines AB and EF. Angle 7 is a right angle. Which of the following statements is/are true? I. Angles 6 and 7 are equal. II. Angles 5 and 8 are equal. III. Angles 7 and 8 are equal. O Statements Iand Il only O Statement I only O Statement Il only O Statements I and III only O Statements Il and IIlI only O Statements I, II, and III O None of the statements O Statement III only

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 4E: In Exercise 3 and 4, supply statements. Given: mAOBm1mBOCm1 Prove: OB bisects AOC PROOF Statements...
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Refer to the figure below. Make use of Euclid's axioms and postulates.
Line AB crosses lines CD and EF.
Angles 1, 2, 3, and 4 are the angles formed by intersecting lines AB & CD. Angle 2 is greater than 90°.
Angles 5, 6, 7, and 8 are the angles formed by intersecting lines AB and EF. Angle 7 is a right angle.
4
5
8
Which of the following statements is/are true?
I. Angles 6 and 7 are equal.
II. Angles 5 and 8 are equal.
III. Angles 7 and 8 are equal.
O Statements I and Il only
O Statement I only
O Statement Il only
O Statements I and IIlI only
O Statements Il and III only
O Statements I, II, and III
O None of the statements
O Statement III only
Transcribed Image Text:Refer to the figure below. Make use of Euclid's axioms and postulates. Line AB crosses lines CD and EF. Angles 1, 2, 3, and 4 are the angles formed by intersecting lines AB & CD. Angle 2 is greater than 90°. Angles 5, 6, 7, and 8 are the angles formed by intersecting lines AB and EF. Angle 7 is a right angle. 4 5 8 Which of the following statements is/are true? I. Angles 6 and 7 are equal. II. Angles 5 and 8 are equal. III. Angles 7 and 8 are equal. O Statements I and Il only O Statement I only O Statement Il only O Statements I and IIlI only O Statements Il and III only O Statements I, II, and III O None of the statements O Statement III only
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