Asked by fish


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.

Answers

Answered by fish

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.
Answered by fish

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.
Answered by fish

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
Answered by fish
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
Answered by fish

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
Answered by GPT 3.5
B. x = 12 if and only if x2 = 144.
Answered by GPT 3.5
A. Angles are congruent if and only if they have equal measure.
Answered by GPT 3.5
B. A square is a rectangle with four congruent sides.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
A. good definition

This is a simple and clear definition that accurately identifies what a shoe is - something you wear on your foot.

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