AnswersMASTER COURSE GeometryN/A

Practice Exam Answers

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Which is logically equivalent to the converse of a conditional statement?

A
the inverse of the original conditional statement
B
the original conditional statement
C
the contrapositive of the original conditional statement
D
the converse of the converse statement
22
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Let p : A shape is a triangle. Let q : A shape has four sides. Which is true if the shape is a rectangle?

A
p rightarrow q
B
p left right arrow q
C
p wedge q
D
q rightarrow p
23

Consider the conditional statement shown. If any two numbers are prime, then their product is odd. What number must be one of the two primes for any counterexample to the statement?

Answer:

2

24

What is the length of segment AC ?

A
16 units
B
6 units
C
12 units
D
8 units
25

Which statement is true about the given information?

A
angle AEC measures 45 degrees .
B
angle AEC measures 90 degrees .
C
angle CED measures 45 degrees .
D
angle CED measures 180 degrees .
26

What is the missing reason in the proof? Statements Reasons 1. line segment ST is the perpendicular bisector of line segment RV 1. given 2. angle STR and angle STV are right angles. 2. def. of perpendicular bisector 3. line segment RS is congruent to line segment VS 3. ? 4. line segment ST is congruent to line segment ST 4 reflexive property 5. triangle RST is congruent to triangle VST 5. HL theorem

A
converse of the perpendicular bisector theorem
B
Pythagorean theorem
C
SSS congruence theorem
D
perpendicular bisector theorem
27

Which best explains whether or not triangle ABC is congruent to triangle LMN ?

A
The figures are congruent because a 270 degrees rotation about the origin and then a reflection over the x -axis will map triangle ABC onto triangle LMN .
B
The figures are congruent because a 180 degrees rotation about the origin and then a reflection over the x -axis will map triangle ABC onto triangle LMN .
C
The figures are not congruent because there is no rigid transformation or combination of rigid transformations that will map triangle ABC onto triangle LMN .
D
The figures are not congruent because point cap b corresponds with point cap n and point cap c corresponds with point cap m .
28

Which rigid transformation would map triangle cap A cap b cap c to triangle cap e cap d cap c ?

A
a reflection across the line containing line segment cap A cap c
B
a reflection across the line containing line segment cap c cap b
C
a rotation about point cap b
D
a rotation about point cap c
29

Which rule describes the composition of transformations that maps triangle ABC to triangle cap A double prime cap b double prime cap c double prime ?

A
r sub x - axis circ cap t sub negative 6 comma negative 2 open paren x comma y close paren
B
cap r sub o comma 90 degrees circ cap t sub negative 6 comma negative 2 open paren x comma y close paren
C
cap t sub negative 6 comma negative 2 circ r sub x - axis open paren x comma y close paren
D
cap t sub negative 6 comma negative 2 circ cap r sub o comma 90 degrees open paren x comma y close paren
30

Which rule describes the transformation?

A
cap r sub 0 comma 360 degrees
B
cap r sub 0 comma 270 degrees
C
cap r sub 0 comma 90 degrees
D
cap r sub 0 comma 180 degrees
31

What are the coordinates of point cap j prime ?

A
open paren negative 9 halves comma negative 4 close paren
B
open paren negative 2 comma negative 4 close paren
C
open paren negative 9 halves comma negative 9 close paren
D
open paren negative 2 comma negative 6 close paren
32

What must be the value of x so that lines c and d are parallel lines cut by transversal p ?

A
18
B
12
C
81
D
99

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