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Quiz (Logic)
Stude nt Nam e: ________________________________________ Date: ___________
Score: ______
Te acher Na m e : Da vid R ennie
1)
3x + 2 = 8 Given
3x = 6 Subtractio n P roperty
x = 2 Division Pro perty
Margaret solves the equation a nd justifies e ach step by providing a reaso n. Wha t type of rea soning is Margare t using?
A) algebraic
B) de ductive
C) geom etric
D) inductive
2)
(1)
(2)
(3)
(4)
If
If
If
If
an
an
an
an
angle
angle
angle
angle
has a m e asure o f 35°, it is a n a cute angle.
does not m e asure 90°, it cannot be one of the interio r a ngle s of a recta ngle .
is not right, it cannot m easure 90°.
is a n a cute angle, it is not right.
Put the statem ents in order.
A) 1, 3, 2, 4
B) 1, 4, 2, 3
C) 1, 4, 3, 2
D) 1, 3, 4, 2
3)
Presto n concludes tha t, because the quadrilatera l sho wn has co ngruent diago nals that bise ct ea ch other, it m ust be a
re ctangle. What type of re asoning is he using?
A) algebraic
B) de ductive
C) geom etric
D) inductive
4)
If a triangle has three congruent angles, then it is equilateral.
W hat is the inverse o f this statem ent?
A) If a triangle is equilate ral, the n it ha s three congrue nt angles.
B) If a triangle has thre e congrue nt angles, the n it is not equilate ral.
C) If a triangle doe s no t have thre e congruent angles, then it is not equilateral.
D) If a triangle is no t e quila tera l, then it doe s no t have three co ngruent a ngles.
5)
If a polygon has 5 sides, then it is a pentagon.
W rite the inverse of the conditional state m e nt and de term ine whether it is true o r false.
A) If a po lygon is a pe nta gon, then it has 5 side s.; TR UE
B) If a po lygon is a pe nta gon, then it has 5 side s; FALSE
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C) If a polygo n does not ha ve 5 sides, then it is not a pentagon.; TR UE
D) If a polygo n does not ha ve 5 sides, then it is not a pentagon.; FALSE
6)
Minnie is working on the la st re ason fo r the pro of shown. What type of re asoning is she using?
A) algebraic
B) de ductive
C) geom etric
D) inductive
7)
The square ro ots of 4 a re ± 2.
The square ro ots of 9 a re ± 3.
The square ro ots of 16 are ± 4.
Julie was finding the square roo t o f perfect squares a nd says that the square root of any perfect squa re will a lways result in
two real num be rs. Veronica says she is wrong because 0 has only one square roo t.
W hat type o f reaso ning is Veronica using?
A) algebraic
B) counterexa m ple
C) deductive
D) inductive
8) C onditio nal Sta tem ent:
If a polygon is a regular pentagon, then it has 5 sides.
State the converse of the conditional state m e nt and de term ine whether it is true o r false.
A) If a po lygon ha s 5 sides, the n it is a re gula r pentago n. TR UE
B) If a po lygon ha s 5 sides, the n it is a re gula r pentago n. FALSE
C) If a polygo n is not a regular pentagon, then it does not ha ve 5 side s. T RUE
D) If a polygo n is not a regular pentagon, then it does not ha ve 5 side s. FALSE
9) C onditio nal Sta tem ent:
If x = 2, then x2 = 4
State the converse of the conditional state m e nt and de term ine whether it is true o r false.
A) If x 2 = 4, the n x = 2. TR UE
B) If x 2 = 4, the n x = 2. FALSE
C) If x ≠ 2, then x 2 ≠ 4. T RUE
D) If x ≠ 2, then x 2 ≠ 4. FALSE
10)
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x2 = x
x
x3 = x2
x
x 10 = x 7
x3
Adam studied the problem s abo ve a nd co nclude d that when you divide ex ponentia l te rm s with the sam e b ase, you subtra ct
their expone nts. W hat type o f re asoning is he using?
A) algebraic
B) counterexa m ple
C) deductive
D) inductive
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