Post on 14-Jan-2016
By Kacey Olver, Tom Jubon, and Laine Murphy
Section 2.4
Section 2.4
Section 2.4
Section 2.4
Statements Reasons
1. <BAE is a rt <
1.
2. 2.
3. <DEA is a rt <
3.
4. 4.
5. <CAE <CEA
5.
6. <BAC <DEC
6.
Given: <BAE is a rt < <DEA is a rt < <CAE <CEAProve: <BAC <DEC
A E
DB C
Given: <BAE is a rt < <DEA is a rt < <CAE <CEAProve: <BAC <DEC
A E
DB C
Statements Reasons
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: __?_
A
B C
D
Given: <A is compl to <C
<DBC is compl to <C
Conclusion: __?_
A
B C
D
Statements Reasons
1. Seg KM is perp to seg MO
1.
2. <KMO is a rt < 2.
3. <RMO is compl to <KMR
3.
4. <ROM is compl to <POR
4.
5. <KMR <POR 5.
6. <ROM <RMO 6.
Given: Seg KM is perp to seg MO
Seg PO is perp to seg MO
<KMR <POR
Prove: <ROM <RMO
RK P
M O
Statements Reasons
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 1-3
5. <KMR <POR 5. Given
6. <ROM <RMO 6. 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
RK P
Given: <1 is compl to <4 <2 is compl to <3 Ray RT bisects <SRVProve: Ray TR bisects <STV
R T
S
V
1
2
3
4
*Solution Provided by www.darienps.org
Statements Reasons
1. Ray RT bisects <SRV 1. Given
2. <3 <4 2. If a ray bisects an angle, then it divides the angle into 2 halves
3. <1 is compl to <4 3. Given
4. <2 is compl to <3 4. Given
5. <1 <2 5. If 2 <‘s are compl to <‘s, then they are
6. Ray TR bisects <STV 6. 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, 1991.
Honors Geometry, Chapter 2, Packet #1, Sections 2.1-2.4
Messman, Bonita. “2.4 Congruent Supplements and Compliments.” Darien High School. 17 January 2010 < http://www.darienps.org/ teachers/bmessman/AccGeo1stQ/Ch2/Wk
4_Lesson Solutions.pdf>. Web.