Section 2.4 Theorems By Kacey Olver, Tom Jubon, and Laine Murphy.

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Section 2.4 Theorems By Kacey Olver, Tom Jubon, and Laine Murphy

Section 2.4

StatementsReasons 1. <BAE is a rt < <DEA is a rt < <CAE <CEA <BAC <DEC 6.

StatementsReasons 1. <BAE is a rt < 1. Given 2. Line FK is perpendicular to line KJ 2. If 2 lines form a rt <, then they’re perpendicular. 3. <DEA is a rt < 3. Given 4. Line JH is perpendicular to line KJ 4. Same as 2 5. <CAE <CEA 5. Given 6. <BAC <DEC 6. Compl of <‘s are

Given: <A is compl to <C <DBC is compl to <C Conclusion: __?_

Given: <A is compl to <C <DBC is compl to <C Conclusion: __?_

StatementsReasons 1. Seg KM is perp to seg MO <KMO is a rt <2. 3. <RMO is compl to <KMR <ROM is compl to <POR <KMR <POR5. 6. <ROM <RMO6. Given: Seg KM is perp to seg MO Seg PO is perp to seg MO <KMR <POR Prove: <ROM <RMO R K P M O

StatementsReasons 1. Seg KM is perp to seg MO 1. Given 2. <KMO is a rt <2. If segs are perp, they form rt <‘s. 3. <RMO is compl to <KMR 3. If 2 <‘s form a rt <, they are compl. 4. <ROM is compl to <POR 4. Reasons <KMR <POR5. Given 6. <ROM <RMO6. Compl’s of <‘s are Given: Seg KM is perp to seg MO Seg PO is perp to seg MO <KMR <POR Prove: <ROM <RMO M O R K P

Given: <1 is compl to <4 <2 is compl to <3 Ray RT bisects <SRV Prove: Ray TR bisects <STV R T S V

*Solution Provided by StatementsReasons 1. Ray RT bisects <SRV1. Given 2. <3 <42. If a ray bisects an angle, then it divides the angle into 2 halves 3. <1 is compl to <43. Given 4. <2 is compl to <34. Given 5. <1 <25. If 2 <‘s are compl to <‘s, then they are 6. Ray TR bisects <STV6. If a ray divides an, into 2 <‘s, then it bisects the <

 Rhoad, Richard, George Milauskas, and Robert Whipple. Geometry For Your Enjoyment and Challenge. MA: McDougal, Littell and Company,  Honors Geometry, Chapter 2, Packet #1, Sections  Messman, Bonita. “2.4 Congruent Supplements and Compliments.” Darien High School. 17 January Web.