Download Geometry Chapter 2 Test Review 11. False, angles are not adjacent

Geometry Chapter 2 Test Review
11.
False, angles are not adjacent, but still add up to 180o are still supplementary.
12.
True, diagram to the right.
13.
The wildlife park may be worried that dogs may be on the loose and chase the
wild animals, where the local park may not be in area where wild animals are.
14.
A square yard is not equivalent to three spare feet or the sum of the measures
of two complementary angles is 180.
True, because both parts are true. (Only needed one to be true for or)
15.
A plane contains at least three noncollinear points and the sum of the measures of two complementary
angles is not 180.
True, because both parts are true. (Both are required to be true for and)
16.
A plane does not contain at least three noncollinear points or a square yard is equivalent to three square
feet.
False, because both parts are false.
17a. 18, bottom part of bottom circle (yellow part).
17b. 14, intersection of top two circles (purple part).
17c. 22, intersection of top left and bottom circle, (orange and white part).
18.
True, multiplying a number by itself will always yield a positive number.
19.
False, first of all a hexagon has only 6 sides, but if it did have 8 (octagon), then it is
possible that at least one angle could not be obtuse.
20.
Converse: If two angles have the same degree measure, then they are congruent.
True, equal measures are the same as congruent.
Inverse: If two angles are not congruent, then they don’t have the same measure.
True, if the converse is true, then the inverse must be true (equivalent statements).
Contrapositive: If two angles don't have the same degree measure, then they aren't congruent.
True, if the conditional is true, then the contrapositive must be true (equivalent
statements).
29.
Symmetric Property of Equality
30.
Subtraction Property of Equality
31.
Distributive Property
32.
Reflexive Property of Equality
33.
Transitive Property of Equality or Substitution Property of Equality
34.
(a) Given
(b) Distributive Property
(c) Addition Property of Equality
(d) Division Property of Equality
35.
(a)
(b)
(c)
(d)
36.
Statement
PQ = RS
PQ = 5x + 9
RS = x – 31
5x + 9 = x – 31
4x = -40
x = -10
(a)
(b)
(c)
(d)
(e)
(f)
38.
(a)
(b)
(c)
(d)
Statement
X is the midpoint of WY and VZ
WX = XY
VX = XZ
VW + WX = VX
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XY + YZ = XZ
VW + WX = XY + YZ
VW + XY = XY + YZ
VW = YZ
Statement
AB = DC
AB + BC = AC
DC + BC = BD
DC + BC = AC
AC = BD
39.
Segment Addition Postulate
40.
m∠5 = 90° (right angle)
41.
m∠6 = 180° − 53° = 127° (Linear pair)
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42.
m∠7 = 53° (Vertical angles)
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43.
Statement
∠1 ≅ ∠4
∠2 ≅ ∠3
m∠1 = m∠4
m∠2 = m∠3
m∠1+ m∠2 = m∠AFC
m∠3 + m∠4 = m∠EFC
m∠4 + m∠3 = m∠AFC
m∠AFC = m∠EFC
∠AFC ≅ ∠EFC
(a)
(b)
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(b)
(c)
(d)
Transitive (or Substitution) P.O.E.
Subtraction Property of Equality
Division Property of Equality
Transitive (or substitution) Property of Equality
37.
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(a)
Reason
Given
(c)
(d)
(e)
(f)
(a)
(b)
Reason
Given
Definition of Midpoint
(c)
Segment Addition Postulate
(d)
(e)
(f)
Transitive (or Substitution) P.O.E.
Substitution Property of Equality
Subtraction Property of Equality
(a)
(b)
Reason
Given
Segment Addition Postulate
(c)
(d)
Substitution Property of Equality
Transitive (or Substitution) P.O.E.
(a)
Reason
Given
(b)
Definition of Congruent
(c)
Angle Addition Postulate
(d)
(e)
(f)
Substitution Property of Equality
Transitive (or Substitution) P.O.E.
Definition of Congruent