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Geometry
Name ____________________________
Unit 2 Review
I. Write a conjecture based on the given information.
1.) Point Q is between R and S.
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2.) <A and <B are right angles.
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3.) AB and CD intersect at E.
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II. Determine if each conjecture is TRUE or FALSE. Give a counterexample for any false
conjecture.
___________ 4.) Given: ST  TU
Counterexample:
Conjecture: T is the midpoint of SU .
___________ 5.) Given: <A and <C are supplementary angles.
<B and <C are supplementary angles.
Conjecture: <A  <B
Counterexample:
___________6.) Given: AB , BC , CD
Conjecture: A, B, C, and D are collinear.
III. Complete.
Counterexample:
7.) Two points determine a ________________________.
8.) Three points determine a ________________________.
9.) Linear pairs are ________________________.
10.) Vertical angles are ________________________.
IV. Write each statement in if-then form.
11.) Congruent angles have the same measures.
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12.) Collinear points lie on the same line.
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13.) All Chimpanzees love bananas.
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V. Write the converse, inverse, and contrapositive of each conditional statement. Determine if it
is TRUE or FALSE. If it is false, give a counterexample.
14.) If an animal is a fish, then it can swim.
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15.) All right angles are congruent.
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16.) If three points are collinear, then they lie on a straight line.
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Geometry
Name ____________________________
Unit 2 Review
VI. Name the property that justifies each statement.
________________ 17.) If m <A = m <B, then m <B = m <A.
________________ 18.) XY = XY.
________________ 19.) If XY – YZ = XM, then XY = XM + YZ.
________________ 20.) If m <A + m <B = 90, and m <A = 30, then 30 + m <B = 90.
________________ 21.) If x + 3 = 17, then x = 14.
________________ 22.) If 7x = 42, then x = 6.
________________ 23.) 2 (x + 4) = 2x + 8.
________________ 24.) If x = y + 3, and y + 3 = 10, then x = 10.
________________ 25.) If AB + BC = BC + CD, then AB = CD.
VII. Complete each proof.
1
26.) Given: 2x – 7 = x - 2
3
Prove: x = 3
27.) Given: m <2 = m <4 and m <ABD = m <EFH
Prove: m <1 = m <3
28.) Given: BC  YZ and AC  ZX
Prove: AB  XY
29.) Given: MP = NP and PO = PL
Prove: MO = NL
30.) Given: <ABC  < EFG and <ABD  <EFH
Prove: <DBC  <HFG
31.)
Given: <AEC  <DEB
Prove: <AEB  <DEC