Question
A) When performing a construction, what are the only tools needed to complete the
construction? (1 point)
a compass and a straightedge
a compass, a straightedge, and a ruler
only a ruler
only a compass
construction? (1 point)
a compass and a straightedge
a compass, a straightedge, and a ruler
only a ruler
only a compass
Answers
Answer
A) Select the choice that indicates is the perpendicular bisector of if they intersect at
. (1 point)
AB
←→
CD
←→
P
AB ⊥ and ¯¯¯¯¯¯¯¯ CD
¯¯¯¯¯¯¯¯ C
¯¯¯¯¯P
¯¯¯ ≅DP
¯¯¯¯¯¯¯¯
AC ⊥ and ¯¯¯¯¯¯¯¯ BD
¯¯¯¯¯¯¯¯ AP ≅
¯¯¯¯¯¯¯¯ BP
¯¯¯¯¯¯¯¯
CD ⊥
¯¯¯¯¯¯¯¯ AB
¯¯¯¯¯¯¯¯
AP ≅
¯¯¯¯¯¯¯¯ BP
. (1 point)
AB
←→
CD
←→
P
AB ⊥ and ¯¯¯¯¯¯¯¯ CD
¯¯¯¯¯¯¯¯ C
¯¯¯¯¯P
¯¯¯ ≅DP
¯¯¯¯¯¯¯¯
AC ⊥ and ¯¯¯¯¯¯¯¯ BD
¯¯¯¯¯¯¯¯ AP ≅
¯¯¯¯¯¯¯¯ BP
¯¯¯¯¯¯¯¯
CD ⊥
¯¯¯¯¯¯¯¯ AB
¯¯¯¯¯¯¯¯
AP ≅
¯¯¯¯¯¯¯¯ BP
Answer
which one is it
Answer
A) Identify one of the steps necessary to construct a parallel line to a given line through a point
not on the line. (1 point)
After drawing a given line and a point not on the line, fold your paper so that the fold goes
through the point not on the line.
Place the edge of a ruler on the given line and slide the ruler up or down until it is aligned with
the point, then draw a line through the point.
With the pointed tip of your compass on a point on the given line, draw an arc that extends both
above and below the given line.
With the pointed tip of your compass on a point on the given line, draw an arc that intersects the
given line and the line drawn from the point on the given line to the point not on the given line.
not on the line. (1 point)
After drawing a given line and a point not on the line, fold your paper so that the fold goes
through the point not on the line.
Place the edge of a ruler on the given line and slide the ruler up or down until it is aligned with
the point, then draw a line through the point.
With the pointed tip of your compass on a point on the given line, draw an arc that extends both
above and below the given line.
With the pointed tip of your compass on a point on the given line, draw an arc that intersects the
given line and the line drawn from the point on the given line to the point not on the given line.
Answer
A) Which statement is true for all parallel lines? (1 point)
Parallel lines have the same slope.
Parallel lines have slopes that are negative reciprocals of each other.
Parallel lines have slopes that are undefined.
Parallel lines have a slope of zero.
Parallel lines have the same slope.
Parallel lines have slopes that are negative reciprocals of each other.
Parallel lines have slopes that are undefined.
Parallel lines have a slope of zero.
Answered by
GPT-4o mini
A) The only tools needed to complete the construction are **a compass and a straightedge**.
Answered by
GPT-4o mini
It seems like the question might be incomplete or not formatted properly. However, based on your question, if you are looking for a choice that indicates the relationships involving perpendicular bisectors and the segments mentioned, the correct answer is that:
If \( \overline{AB} \) is the perpendicular bisector of \( \overline{CD} \), then:
1. \( \overline{AB} \perp \overline{CD} \)
2. \( AP \cong BP \) (where \( P \) is the point of intersection of \( \overline{AB} \) and \( \overline{CD} \)).
If you could clarify or provide additional information, I would be glad to assist you further!
If \( \overline{AB} \) is the perpendicular bisector of \( \overline{CD} \), then:
1. \( \overline{AB} \perp \overline{CD} \)
2. \( AP \cong BP \) (where \( P \) is the point of intersection of \( \overline{AB} \) and \( \overline{CD} \)).
If you could clarify or provide additional information, I would be glad to assist you further!
Answered by
GPT-4o mini
Based on the information given, the correct choice that indicates the relationship where one line is the perpendicular bisector of another and includes the intersection point is:
**CD ⊥ AB and AP ≅ BP**
This choice means that line segment \( \overline{CD} \) is perpendicular to \( \overline{AB} \) and that line segments \( AP \) and \( BP \) are congruent, indicating that point \( P \) is the midpoint of line segment \( \overline{CD} \).
So the answer is:
**CD ⊥ AB and AP ≅ BP**
**CD ⊥ AB and AP ≅ BP**
This choice means that line segment \( \overline{CD} \) is perpendicular to \( \overline{AB} \) and that line segments \( AP \) and \( BP \) are congruent, indicating that point \( P \) is the midpoint of line segment \( \overline{CD} \).
So the answer is:
**CD ⊥ AB and AP ≅ BP**
Answered by
GPT-4o mini
To construct a parallel line to a given line through a point not on the line, one of the correct steps is:
**With the pointed tip of your compass on a point on the given line, draw an arc that extends both above and below the given line.**
This step helps in establishing the necessary angles to ensure the new line will be parallel to the original line.
**With the pointed tip of your compass on a point on the given line, draw an arc that extends both above and below the given line.**
This step helps in establishing the necessary angles to ensure the new line will be parallel to the original line.
Answered by
GPT-4o mini
A) The statement that is true for all parallel lines is:
**Parallel lines have the same slope.**
This is true because parallel lines never intersect and maintain a constant distance apart, which is only possible if their slopes are identical.
**Parallel lines have the same slope.**
This is true because parallel lines never intersect and maintain a constant distance apart, which is only possible if their slopes are identical.