Question

Read the following two conditional statements:


If x2 = 144, then x = 12.
If x = 12, then x2 = 144.


A.
The biconditional is not true because one of the conditional statements is false.


B.
x = 12 if and only if x2 = 144.


C.
The biconditional is not true because both of the conditional statements are false.


D.
x2 = 144 if and only if x = 12.

Answer 1

Select the statement that is the biconditional of the following definition:


Congruent angles are angles with equal measure.


A.
Angles are congruent if and only if they have equal measure.


B.
Angles are congruent if they have equal measure.


C.
If angles have equal measure, then they are congruent.


D.
If angles are congruent, then they have equal measure.

Answer 2

Which statement is a good definition?


A.
Right angles are angles formed by two intersecting lines.


B.
A square is a rectangle with four congruent sides.


C.
Parallel lines are lines that do not intersect.


D.
Skew lines are lines that do not intersect.

Answer 3

Determine whether the following statement is a good definition or not a good definition.


A triangle is a figure with sharp corners.


A.
good definition


B.
not a good definition

Answer 4

Practice


Determine whether the following statement is a good definition or not a good definition.


A right angle is an angle whose measure is 90º.


A.
good definition


B.
not a good definition

Answer 5

Determine whether the following statement is a good definition or not a good definition.


A shoe is something you wear on your foot.


A.
good definition


B.
not a good definition