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.
11 answers
B. x = 12 if and only if x2 = 144.
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.
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.
A. Angles are congruent if and only if they have equal measure.
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.
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.
B. A square is a rectangle with four congruent sides.
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
A triangle is a figure with sharp corners.
A.
good definition
B.
not a good definition
B. not a good definition.
This is not a good definition because not all triangles have sharp corners. Triangles can have a variety of angle measures and properties, so defining them solely by "sharp corners" is not accurate.
This is not a good definition because not all triangles have sharp corners. Triangles can have a variety of angle measures and properties, so defining them solely by "sharp corners" is not accurate.
Practice
Determine whether the following statement is a good definition or not a good definition.
A right angle is an angle whose measure is 90ยบ.
A.
good definition
B.
not a good definition
Determine whether the following statement is a good definition or not a good definition.
A right angle is an angle whose measure is 90ยบ.
A.
good definition
B.
not a good definition
A. good definition
This is a good definition because it accurately and concisely defines what a right angle is - an angle with a measure of 90 degrees.
This is a good definition because it accurately and concisely defines what a right angle is - an angle with a measure of 90 degrees.
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
A shoe is something you wear on your foot.
A.
good definition
B.
not a good definition
A. good definition
This is a simple and clear definition that accurately identifies what a shoe is - something you wear on your foot.
This is a simple and clear definition that accurately identifies what a shoe is - something you wear on your foot.
1 answer