Use the image to answer the question. What is the precise definition of the figure in the image? (1 point) Responses a part of the circumference of a circle or other curve a part of the circumference of a circle or other curve the finite section of a line between two points on that line the finite section of a line between two points on that line the figure formed by two lines extending from the same point the figure formed by two lines extending from the same point a line that connects two points

Answer 1

To provide you with the precise definition of the figure in the image, I would need to see the image itself. However, based on the options you've provided, here are the definitions:

1. A part of the circumference of a circle or other curve - This typically refers to an arc.
2. The finite section of a line between two points on that line - This defines a line segment.
3. The figure formed by two lines extending from the same point - This describes an angle.
4. A line that connects two points - This also refers to a line segment.

If you can describe the figure in the image or provide more context, I would be happy to help identify the correct definition.

Answer 2

How are the undefined notions of point, line, distance along a line, and distance around an arc used in geometry?(1 point) Responses They are used to structure theorems that can be used to prove things about shapes and figures. They are used to structure theorems that can be used to prove things about shapes and figures. They are used to examine constructed figures to create theorems that are used in proofs. They are used to examine constructed figures to create theorems that are used in proofs. They are used to find patterns in figures that can be used to create theorems about shapes and figures. They are used to find patterns in figures that can be used to create theorems about shapes and figures. They are used as the building blocks of geometry and allow various figures and shapes to be constructed and examined.

Answer 3

The correct response regarding how the undefined notions of point, line, distance along a line, and distance around an arc are used in geometry is:

They are used as the building blocks of geometry and allow various figures and shapes to be constructed and examined.

This answer captures the essence of these fundamental concepts, as they are foundational to understanding geometry and creating more complex figures and theorems.

Answer 4

Which of the following is an educated guess? (1 point) Responses a conjecture a conjecture a postulate a postulate a theorem a theorem a definition

Answer 5

The correct response is:

a conjecture.

A conjecture is an educated guess based on observations or patterns, which has not yet been proven. In contrast, a postulate is an accepted statement or principle in mathematics, a theorem is a proven statement, and a definition is a precise explanation of the meaning of a term.

Answer 6

Use the image to answer the question. What final step is needed to finish constructing a copy of segment PQ¯¯¯¯¯¯¯¯ ? (1 point) Responses Using a straightedge, draw a line from point Q to point S . Using a straightedge, draw a line from point upper Q to point upper S . Using a straightedge, draw a line from point R to point P . Using a straightedge, draw a line from point upper R to point upper P . Using a straightedge, draw a line from point R to point S . Using a straightedge, draw a line from point upper R to point upper S . Using a straightedge, draw a line from point R to point Q .

Answer 7

To determine the correct final step needed to finish constructing a copy of segment \( \overline{PQ} \), I would need to visualize the setup. However, based on standard construction practices, if you have points \( R \) and \( S \) and you are tasked with creating a copy of the segment \( \overline{PQ} \), the last step typically involves connecting the two endpoints of the newly constructed segment.

Therefore, the most appropriate response would be:

Using a straightedge, draw a line from point \( R \) to point \( S \).

This action would complete the copy of the segment by connecting the designated points.

Answer 8

Use the image to answer the question. Mere started with AB¯¯¯¯¯¯¯¯ on her paper. She folded her paper so that point A was on top of point B . Then, she unfolded her paper and labeled the intersection of the fold and the line segment with point C . Finally, she used a straight edge to draw GF←→ at an arbitrary angle through point C . What term best describes GF←→ ? (1 point) Responses angle bisector angle bisector midpoint midpoint perpendicular bisector perpendicular bisector line segment bisector

Answer 9

Based on the description provided, since Mere folded the paper with point A on top of point B and identified point C at the intersection of the fold and the line segment \( \overline{AB} \), this suggests that point C divides segment \( \overline{AB} \) into two equal parts.

When she drew line \( GF \) through point C at an arbitrary angle, this line is specifically the line that bisects the angle formed by the fold into two equal angles, and because of its relationship with the segment \( \overline{AB} \), it can also indicate a perpendicular relationship.

Since the question asks for the term that best describes line \( GF \):

The best response is perpendicular bisector.

This is because the fold creates a perpendicular angle with the segment when A is placed on B, and C serves as the midpoint when unfolding the paper. Therefore, \( GF \) is the line that is perpendicular to \( \overline{AB} \) at midpoint \( C \).

Answer 10

Which of the following must be true for lines to be parallel?(1 point) Responses They must lie in the same plane and both be horizontal. They must lie in the same plane and both be horizontal. They must lie in the same plane and never intersect. They must lie in the same plane and never intersect. They must have opposite reciprocal slopes. They must have opposite reciprocal slopes. They must have a slope of zero.

Answer 11

The correct response regarding the conditions for lines to be parallel is:

They must lie in the same plane and never intersect.

This definition captures the essential requirement for parallel lines: they must be coplanar (i.e., lie in the same plane) and must not meet at any point, regardless of their slopes.