Select the choice that indicates AB←→ is the perpendicular bisector of CD←→ if they intersect at P .(1 point) Responses AB¯¯¯¯¯¯¯¯⊥CD¯¯¯¯¯¯¯¯ and CP¯¯¯¯¯¯¯¯≅DP¯¯¯¯¯¯¯¯ Modifying above upper A upper B with bar perpendicular to Modifying above upper C upper D with bar and Modifying above upper C upper P with bar congruent to Modifying above upper D upper P with bar CD¯¯¯¯¯¯¯¯⊥AB¯¯¯¯¯¯¯¯ Modifying above upper C upper D with bar perpendicular to Modifying above upper A upper B with bar AC¯¯¯¯¯¯¯¯⊥BD¯¯¯¯¯¯¯¯ and AP¯¯¯¯¯¯¯¯≅BP¯¯¯¯¯¯¯¯ Modifying above upper A upper C with bar perpendicular to Modifying above upper B upper D with bar and Modifying above upper A upper P with bar congruent to Modifying above upper B upper P with bar AP¯¯¯¯¯¯¯¯≅BP¯¯¯¯¯¯¯¯

Answer 1

To indicate that line segment AB is the perpendicular bisector of line segment CD at point P, the correct choice is:

AB ⊥ CD and CP ≅ DP

This indicates that AB is perpendicular to CD and that the segments CP and DP are congruent (i.e., they are equal in length), which is the definition of a perpendicular bisector.

If you are looking for a choice that emphasizes these points exactly as they are defined, please ensure the selection presents this information correctly.

Answer 2

dentify which diagram represents a step in constructing a perpendicular line that is not a perpendicular bisector.(1 point) Responses Image with alt text: A line segment has 2 end points labeled A and B. A compass has its needle on the right end point, B, and its pencil is placed about two thirds of the way along line segment. Image with alt text: A solid line segment with two end points, X and Y, is shown. A dashed vertical line segment is also shown perpendicular to the segment X Y, intersecting it approximately one fourth of the distance between X and Y. Image with alt text: A line segment has 2 end points. The left end point is A, and the right is B. A geometric compass is shown with the compass needle on point A and the pencil of the compass placed about two thirds of the way along line segment A B. Image with alt text: Two arcs are bisected by line segment A B. The arcs intersect at points C above the midpoint of A B and D below the midpoint of A B. A line is drawn from point C to D through the midpoint, M, of A B forming a right angle.

Answer 3

To identify the diagram that represents a step in constructing a perpendicular line that is not a perpendicular bisector, we need to look for a representation where a perpendicular line is created but does not necessarily bisect the existing line segment.

Among the choices provided, the description that fits this criterion is:

"A solid line segment with two end points, X and Y, is shown. A dashed vertical line segment is also shown perpendicular to the segment X Y, intersecting it approximately one fourth of the distance between X and Y."

This diagram indicates that a perpendicular line is constructed to the segment XY, but it does not bisect it, as it intersects at a point that is not the midpoint of XY. Therefore, this is the correct choice that represents the construction of a perpendicular line that is not a perpendicular bisector.

Answer 4

Identify one of the steps necessary to construct a parallel line to a given line through a point not on the line.(1 point) Responses 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. 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. 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. 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 extends both above and below the given line. 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.

Answer 5

One of the steps necessary to construct a parallel line to a given line through a point not on the line 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 is typically part of the construction process that utilizes the properties of parallel lines, where the arcs created by the compass will allow you to measure and create equal angles for the parallel line through the given point.