geometry chapter 2 review olympics. one sheet per player make an answer column on the left side of...
TRANSCRIPT
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 team earns a reward
• We will go over the process and answers for each
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
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
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
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
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
6) The supplement of an angle is 21 lessthan twice the angle. Find the angle andthe supplement.
2
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
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
9) Ray SW bisects <RST and m<RST = 72.Ray SZ bisects <RSW. Find m<ZST. 2
10) Given: Ray BD bisects <ABE Prove: m<2 = m<4 3
A D
EB
1
2
34
• 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
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
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
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
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.
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
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.
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
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
9)Answer
Answer: 54
Process: See Board.
29) Ray SW bisects <RST and m<RST = 72.Ray SZ bisects <RSW. Find m<ZST.
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.)
Tiebreaker) An angle is 10 more than3 times its complement. Find the angle.
Answer: 70
HW
• P. 67-68 #1-20 P. 69 # 12 Proof
• Winners do Odds
• Test Tomorrow
• $1