Answers2627 GEOMETRY AParallel and Perpendicular Lines

Parallel and Perpendicular Lines — Unit test Answers

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What value is a counterexample for the conditional statement shown?If a number between 0 and 100 is an odd perfect square, then the only factors of the number are 1, the number itself, and the square root of the number.

A
9
B
25
C
49
D
81
2
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The truth table represents statements p, q, and r. pqr AT T T BT T F CT F T DT F F EF T T FF T F GF F T HF F F

A
r → (p ∧ q)
B
r → (p ∨ q)
C
(q ∧ r) → p
D
(q ∨ r) → p
3

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

A
the original conditional statement
B
the inverse of the original conditional statement
C
the contrapositive of the original conditional statement
D
the converse of the converse statement
4

What is the converse of the statement?Perpendicular lines have negative reciprocal slopes.

A
If lines have negative reciprocal slopes, then they are perpendicular.
B
If lines are perpendicular, then they have negative reciprocal slopes.
C
If lines do not have negative reciprocal slopes, then they are not perpendicular.
D
If lines are not perpendicular, then they do not have negative reciprocal slopes.
5

Let p: The whole number has one digit.Let q: The whole number is less than 10.Which represents "The whole number has one digit if and only if the whole number is less than 10”?

A
p ∨ q
B
p ∧ q
C
p → q
D
p ↔ q
6

[BLANK]

A
2
B
6
C
7
D
10
7

Which statement can be concluded using the true statements?If a quadrilateral has 4 equal sides and 4 equal angles, then it is a square.If a figure is a square, then each of its angles must measure 90 degrees.

A
If a quadrilateral has 4 equal sides and 4 equal angles, then each of its angles must measure 90 degrees.
B
If a quadrilateral has 4 equal sides and 4 equal angles, then none of its angles measures 90 degrees.
C
If all four angles in a quadriateral measure 90 degrees, the quadrilateral is a square.
D
If all four angles in a quadriateral measure 90 degrees, the quadrilateral cannot be a square.
8

Inductive and deductive reasoning differ in which way?

A
Conclusions drawn using deductive reasoning are always false, while conclusions drawn using inductive reasoning are always true.
B
Conclusions drawn using inductive reasoning are always valid, while conclusions drawn using deductive reasoning may or may not be valid.
C
Conclusions drawn using inductive reasoning are always false, while conclusions drawn using deductive reasoning are always true.
D
Conclusions drawn using deductive reasoning are always valid, while conclusions drawn using inductive reasoning may or may not be valid.
9

The converse of a conditional statement is "If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.”What is the inverse of the original conditional statement?

A
If a figure is a polygon, then the sum of the exterior angles is 360°.
B
If the sum of the exterior angles of a figure is not 360°, then the figure is not a polygon.
C
If the sum of the exterior angles of a figure is 360°, then the figure is not a polygon.
D
If a figure is not a polygon, then the sum of the exterior angles is not 360°.
10

Let p: A shape is a triangle.Let q: A shape has four sides.Which is true if the shape is a rectangle?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
11

Let p: The day is Tuesday.Let q: The day is Thursday.Let r: She comes to work.Which represents the statement "The day is Tuesday or Thursday if and only if she comes to work”?

A
p ↔ (q ∧ r)
B
p ↔ (q ∨ r)
C
(p ∧ q) ↔ r
D
(p ∨ q) ↔ r

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