An angle is the figure formed by two rays (or lines) that have a common endpoint, known as the vertex of the angle.
Precisely define an angle.(1 point)
Responses
An angle is a line that extends forever in one direction for a single endpoint.
An angle is a line that extends forever in one direction for a single endpoint.
An angle is the figure formed by two lines extending from the same point.
An angle is the figure formed by two lines extending from the same point.
An angle is the finite section of a line between two endpoints on the line.
An angle is the finite section of a line between two endpoints on the line.
An angle is a closed plane curve with every point on the curve equidistant from a fixed point within the curve.
11 answers
Precisely define an angle.(1 point)
Responses
An angle is a line that extends forever in one direction for a single endpoint.
An angle is a line that extends forever in one direction for a single endpoint.
An angle is the figure formed by two lines extending from the same point.
An angle is the figure formed by two lines extending from the same point.
An angle is the finite section of a line between two endpoints on the line.
An angle is the finite section of a line between two endpoints on the line.
An angle is a closed plane curve with every point on the curve equidistant from a fixed point within the curve.
Responses
An angle is a line that extends forever in one direction for a single endpoint.
An angle is a line that extends forever in one direction for a single endpoint.
An angle is the figure formed by two lines extending from the same point.
An angle is the figure formed by two lines extending from the same point.
An angle is the finite section of a line between two endpoints on the line.
An angle is the finite section of a line between two endpoints on the line.
An angle is a closed plane curve with every point on the curve equidistant from a fixed point within the curve.
The correct response is: An angle is the figure formed by two lines extending from the same point.
What makes a line parallel?(1 point)
Responses
A parallel line is a line that intersects another line at a 90-degree angle.
A parallel line is a line that intersects another line at a 90-degree angle.
A parallel line is a straight figure that has no thickness and extends infinitely in two opposite directions.
A parallel line is a straight figure that has no thickness and extends infinitely in two opposite directions.
A parallel line is the finite section of a line between two points on that line.
A parallel line is the finite section of a line between two points on that line.
A parallel line is a straight line that always remains the same distance from another line and never intersects it.
Responses
A parallel line is a line that intersects another line at a 90-degree angle.
A parallel line is a line that intersects another line at a 90-degree angle.
A parallel line is a straight figure that has no thickness and extends infinitely in two opposite directions.
A parallel line is a straight figure that has no thickness and extends infinitely in two opposite directions.
A parallel line is the finite section of a line between two points on that line.
A parallel line is the finite section of a line between two points on that line.
A parallel line is a straight line that always remains the same distance from another line and never intersects it.
The correct response is: A parallel line is a straight line that always remains the same distance from another line and never intersects it.
Which of the following is an example of an undefined notion?(1 point)
Responses
A line segment is an example of an undefined notion.
A line segment is an example of an undefined notion.
A circle is an undefined notion.
A circle is an undefined notion.
A line is an example of an undefined notion.
A line is an example of an undefined notion.
An angle is an example of an undefined notion.
Responses
A line segment is an example of an undefined notion.
A line segment is an example of an undefined notion.
A circle is an undefined notion.
A circle is an undefined notion.
A line is an example of an undefined notion.
A line is an example of an undefined notion.
An angle is an example of an undefined notion.
The correct response is: A line is an example of an undefined notion.
In geometry, points, lines, and planes are considered undefined notions because they are not formally defined in terms of simpler concepts but are instead understood through their properties and relationships.
Postulates, definitions, conjectures, and theorems each have distinguishing features that help identify them. Which of the following answer choices accurately represents the term’s distinguishing feature? (1 point)
Responses
A definition is a statement that is made based on observations that must be proven true.
A definition is a statement that is made based on observations that must be proven true.
A theorem is assumed to be true, and it does not have to be proven.
A theorem is assumed to be true, and it does not have to be proven.
A postulate is assumed to be true, and it does not have to be proven.
A postulate is assumed to be true, and it does not have to be proven.
A conjecture tells you what a term means or what to do with a concept.
A conjecture tells you what a term means or what to do with a concept.
Responses
A definition is a statement that is made based on observations that must be proven true.
A definition is a statement that is made based on observations that must be proven true.
A theorem is assumed to be true, and it does not have to be proven.
A theorem is assumed to be true, and it does not have to be proven.
A postulate is assumed to be true, and it does not have to be proven.
A postulate is assumed to be true, and it does not have to be proven.
A conjecture tells you what a term means or what to do with a concept.
A conjecture tells you what a term means or what to do with a concept.
The correct response is: A postulate is assumed to be true, and it does not have to be proven.
Postulates (or axioms) are foundational statements in geometry (and other mathematical fields) that are accepted as true without proof.
The building blocks of geometry are the undefined terms of point, line, plane, and space. Which of the undefined terms has no dimension? (1 point)
Responses
a plane
a plane
a line
a line
space
space
a point
Responses
a plane
a plane
a line
a line
space
space
a point
The correct response is: a point.
A point is an undefined term in geometry that has no dimension; it has no length, width, or height.