Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of...
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Transcript of Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of...
![Page 1: Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of your paper Work together to solve each question Winning.](https://reader036.fdocuments.us/reader036/viewer/2022062720/56649f1b5503460f94c300b5/html5/thumbnails/1.jpg)
Geometry
Chapter 2 Review Olympics
![Page 2: Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of your paper Work together to solve each question Winning.](https://reader036.fdocuments.us/reader036/viewer/2022062720/56649f1b5503460f94c300b5/html5/thumbnails/2.jpg)
• One sheet per player
• Make an answer column on the left side of your paper
• Work together to solve each question
• Winning team earns a reward
• We will go over the process and answers for each
![Page 3: Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of your paper Work together to solve each question Winning.](https://reader036.fdocuments.us/reader036/viewer/2022062720/56649f1b5503460f94c300b5/html5/thumbnails/3.jpg)
1) True or False.
a) Perp. Lines form congruent adj. angles.
b) A reason that can be used in to justify a statement istomorrow’s theorem.
c) If 2 angles are comp.’s of the same angle, then the anglesare comp.’s of each other.
2
![Page 4: Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of your paper Work together to solve each question Winning.](https://reader036.fdocuments.us/reader036/viewer/2022062720/56649f1b5503460f94c300b5/html5/thumbnails/4.jpg)
2) True or False.
a) Two right angles are supplementary.
b) A statement that contains “if and only if” is called a biconditional.
c) Right angles can be vertical angles.
2
![Page 5: Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of your paper Work together to solve each question Winning.](https://reader036.fdocuments.us/reader036/viewer/2022062720/56649f1b5503460f94c300b5/html5/thumbnails/5.jpg)
3) Name the defn., prop., post., or thm. that justifies each statement.
a) Angle P is congruent to angle P.
b) If 2x + y = 70 and y = 3x, then 2x + 3x = 70.
c) If AB = CD, CD = EF, then AB = EF.
1
![Page 6: Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of your paper Work together to solve each question Winning.](https://reader036.fdocuments.us/reader036/viewer/2022062720/56649f1b5503460f94c300b5/html5/thumbnails/6.jpg)
4) Name the defn., prop., post., or thm. that justifies each statement.
a) m<AOD = m<AOC + m<3
b) If ray OB bisects <AOC then m<1 = (1/2)m<AOC.
1
A
B
C
DO
12
3
![Page 7: Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of your paper Work together to solve each question Winning.](https://reader036.fdocuments.us/reader036/viewer/2022062720/56649f1b5503460f94c300b5/html5/thumbnails/7.jpg)
5) Name the defn., prop., post., or thm. that justifies each statement.
a) m<5 = m<6
b) If m<4 + m<6 = 90, then <4 and <6 are complementary.
c) m<5 + m<7 = 180
d) If line KL and ray BM are perp., then m<8 = 90.
2
KB
L
M
46
75
8
![Page 8: Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of your paper Work together to solve each question Winning.](https://reader036.fdocuments.us/reader036/viewer/2022062720/56649f1b5503460f94c300b5/html5/thumbnails/8.jpg)
6) The supplement of an angle is 21 lessthan twice the angle. Find the angle andthe supplement.
2
![Page 9: Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of your paper Work together to solve each question Winning.](https://reader036.fdocuments.us/reader036/viewer/2022062720/56649f1b5503460f94c300b5/html5/thumbnails/9.jpg)
7) You are given that line BF and line HDare perp., m< GIB = 120, and m< EID = 60. Complete each with a numerical answer.
m<AIDm<CIDm<GIEA supplement of <HIG has a measure of _____
3
B
C
D
EF
G
H
A
I
![Page 10: Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of your paper Work together to solve each question Winning.](https://reader036.fdocuments.us/reader036/viewer/2022062720/56649f1b5503460f94c300b5/html5/thumbnails/10.jpg)
8) If <Q and <R are supp., find x, thenfind the m<Q and m<R.
m<Q = x + 16 m<R = 2x – 16
1
![Page 11: Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of your paper Work together to solve each question Winning.](https://reader036.fdocuments.us/reader036/viewer/2022062720/56649f1b5503460f94c300b5/html5/thumbnails/11.jpg)
9) Ray SW bisects <RST and m<RST = 72.Ray SZ bisects <RSW. Find m<ZST. 2
![Page 12: Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of your paper Work together to solve each question Winning.](https://reader036.fdocuments.us/reader036/viewer/2022062720/56649f1b5503460f94c300b5/html5/thumbnails/12.jpg)
10) Given: Ray BD bisects <ABE Prove: m<2 = m<4 3
A D
EB
1
2
34
![Page 13: Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of your paper Work together to solve each question Winning.](https://reader036.fdocuments.us/reader036/viewer/2022062720/56649f1b5503460f94c300b5/html5/thumbnails/13.jpg)
• Rows 1 and 2 Trade Papers
• Rows 3 and 4 Trade Papers
• Rows 5 and 6 Trade Papers
• Score only one sheet, then add it to their teammate’s score.
• Points: Gold = 3 Silver = 2 Bronze = 1
• If there is more than 1 part, all parts must be correct to get the points
![Page 14: Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of your paper Work together to solve each question Winning.](https://reader036.fdocuments.us/reader036/viewer/2022062720/56649f1b5503460f94c300b5/html5/thumbnails/14.jpg)
1) True or False.
a) Perp. Lines form congruent adj. angles.
b) A reason that can be used in to justify a statement istomorrow’s theorem.
c) If 2 angles are comp.’s of the same angle, then the anglesare comp.’s of each other.
Answer
Answer: True
2
Answer: False
Answer: False
![Page 15: Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of your paper Work together to solve each question Winning.](https://reader036.fdocuments.us/reader036/viewer/2022062720/56649f1b5503460f94c300b5/html5/thumbnails/15.jpg)
2) True or False.
a) Two right angles are supplementary.
b) A statement that contains “if and only if” is called a biconditional.
c) Right angles can be vertical angles.
Answer
Answer: True
2
Answer: True
Answer: True
![Page 16: Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of your paper Work together to solve each question Winning.](https://reader036.fdocuments.us/reader036/viewer/2022062720/56649f1b5503460f94c300b5/html5/thumbnails/16.jpg)
3) Name the defn., prop., post., or thm. that justifies each statement.
a) Angle P is congruent to angle P.
b) If 2x + y = 70 and y = 3x, then 2x + 3x = 70.
c) If AB = CD, CD = EF, then AB = EF.
Answer
Answer: Reflexive POE
1
Answer: Subst. POE
Answer: Trans. POE
![Page 17: Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of your paper Work together to solve each question Winning.](https://reader036.fdocuments.us/reader036/viewer/2022062720/56649f1b5503460f94c300b5/html5/thumbnails/17.jpg)
Answer
Answer: < Add. Post.
14) Name the defn., prop., post., or thm. that justifies each statement.
a) m<AOD = m<AOC + m<3
b) If ray OB bisects <AOC then m<1 = (1/2)m<AOC.
A
B
C
DO
12
3
Answer: < Bis. Thm.
![Page 18: Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of your paper Work together to solve each question Winning.](https://reader036.fdocuments.us/reader036/viewer/2022062720/56649f1b5503460f94c300b5/html5/thumbnails/18.jpg)
5)Answer
Answer: Vert. <‘s congruent or thm.
25) Name the defn., prop., post., or thm. that justifies each statement.
a) m<5 = m<6
b) If m<4 + m<6 = 90, then <4 and <6 are complementary.
c) m<5 + m<7 = 180
d) If line KL and ray BM are perp., then m<8 = 90.
KB
L
M
46
75
8
Answer: Comp <‘s Defn.
Answer: < Add. Post.
Answer: Perp. Line Defn
![Page 19: Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of your paper Work together to solve each question Winning.](https://reader036.fdocuments.us/reader036/viewer/2022062720/56649f1b5503460f94c300b5/html5/thumbnails/19.jpg)
6)Answer
Answer: Angle = 67 Supp = 113
Process: 180 – x = 2x – 21
26) The supplement of an angle is 21 lessthan twice the angle. Find the angle andthe supplement.
![Page 20: Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of your paper Work together to solve each question Winning.](https://reader036.fdocuments.us/reader036/viewer/2022062720/56649f1b5503460f94c300b5/html5/thumbnails/20.jpg)
7)Answer
Answer: 120
37) You are given that line BF and line HDare perp., m< GIB = 120, and m< EID = 60. Complete each with a numerical answer.
a) m<AIDb) m<CIDc) m<GIEd) A supplement of <HIG has a measure of _____
B
C
D
EF
G
E
A
I
Answer: 30
Answer: 90 Answer: 150
![Page 21: Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of your paper Work together to solve each question Winning.](https://reader036.fdocuments.us/reader036/viewer/2022062720/56649f1b5503460f94c300b5/html5/thumbnails/21.jpg)
8)Answer
Answer: x = 60, m<Q = 76, m<R = 104
Process: x + 16 + 2x – 16 = 180
18) If <Q and <R are supp., find x, thenfind the m<Q and m<R.
m<Q = x + 16 m<R = 2x – 16
![Page 22: Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of your paper Work together to solve each question Winning.](https://reader036.fdocuments.us/reader036/viewer/2022062720/56649f1b5503460f94c300b5/html5/thumbnails/22.jpg)
9)Answer
Answer: 54
Process: See Board.
29) Ray SW bisects <RST and m<RST = 72.Ray SZ bisects <RSW. Find m<ZST.
![Page 23: Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of your paper Work together to solve each question Winning.](https://reader036.fdocuments.us/reader036/viewer/2022062720/56649f1b5503460f94c300b5/html5/thumbnails/23.jpg)
10)Answer
310) Given: Ray BD bisects <ABE Prove: m<2 = m<4
A D
EB
1
2
34
ReasonsStatements
1) Ray BD bisects <ABE 1) Given
2) m<1 = m<2 2) < bis. Defn.
3) m<4 = m<1 3) Vert <‘s cong. (thm.).
4) m<2 = m<4 4) Trans. (Subst.)
![Page 24: Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of your paper Work together to solve each question Winning.](https://reader036.fdocuments.us/reader036/viewer/2022062720/56649f1b5503460f94c300b5/html5/thumbnails/24.jpg)
Tiebreaker) An angle is 10 more than3 times its complement. Find the angle.
Answer: 70
![Page 25: Geometry Chapter 2 Review Olympics. One sheet per player Make an answer column on the left side of your paper Work together to solve each question Winning.](https://reader036.fdocuments.us/reader036/viewer/2022062720/56649f1b5503460f94c300b5/html5/thumbnails/25.jpg)
HW
• P. 67-68 #1-20 P. 69 # 12 Proof
• Winners do Odds
• Test Tomorrow
• $1