Definition of angle bisector, definition of congruence, definition of equilateral triangle, definition of midpoint, given, reflective property of congruence, reflexive property of equality, vertical angle theorem. Complete the proof that AGIJ = AIGH.HStatementReason1GH 1 HIGH | IJAAS3GJ 1 IJAdditive Property of Angle MeasureAdditive Property of LengthAlgebraAll right angles are congruent4ZH E 2J5.ZHGI 2GIJAltarnata Tntorins Anclos Th6GI 쓸 GIAGIJ E AIGH Complete the proof that AGIJ AIGH.StatementReason1IH T H9GH | IJAlternate Interior Angles Theorem3GJ 1 IJAngles forming a linear pair sum to 180°4ASACorresponding Angles TheoremZHGI LGIJСРСТСDofinition of analo bicoctor6.GI GI7.AGIJ E AIGH

Complete the proof that AGIJ = AIGH. Statement Reason 1 GH I HI 2 GH| IJ AAS GJ 1 IJ Additive Property of Angle Measure Additive Property of Length 4 ZH 2J Algebra All right angles are congruent ZHGI E LGIJ Altarnata Tnt 6. GI E GI 7. AGIJ E AIGH

Complete the proof that AGIJ = AIGH. Statement Reason 1 GH I HI 2 GH| IJ AAS GJ 1 IJ Additive Property of Angle Measure Additive Property of Length 4 ZH 2J Algebra All right angles are congruent ZHGI E LGIJ Altarnata Tnt 6. GI E GI 7. AGIJ E AIGH

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter6: Circles

Section6.2: More Angle Measures In The Circle

Problem 47E

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Question

Definition of angle bisector, definition of congruence, definition of equilateral triangle, definition of midpoint, given, reflective property of congruence, reflexive property of equality, vertical angle theorem.

Complete the proof that AGIJ = AIGH.
H
Statement
Reason
1
GH 1 HI
GH | IJ
AAS
3
GJ 1 IJ
Additive Property of Angle Measure
Additive Property of Length
Algebra
All right angles are congruent
4
ZH E 2J
5.
ZHGI 2GIJ
Altarnata Tntorins Anclos Th
6
GI 쓸 GI
AGIJ E AIGH

Complete the proof that AGIJ AIGH.
Statement
Reason
1
IH T H9
GH | IJ
Alternate Interior Angles Theorem
3
GJ 1 IJ
Angles forming a linear pair sum to 180°
4
ASA
Corresponding Angles Theorem
ZHGI LGIJ
СРСТС
Dofinition of analo bicoctor
6.
GI GI
7.
AGIJ E AIGH

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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