Question 1

Question

Question 1
A)When performing a construction, what are the only tools needed to complete the construction?(1 point)
Responses

only a compass
only a compass

only a ruler
only a ruler

a compass and a straightedge
a compass and a straightedge

a compass, a straightedge, and a ruler
a compass, a straightedge, and a ruler
Question 2
A)Select the choice that indicates AB←→ is the perpendicular bisector of CD←→ if they intersect at P.(1 point)
Responses

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

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

AP¯¯¯¯¯¯¯¯≅BP¯¯¯¯¯¯¯¯
Modifying above upper A upper P with bar congruent to Modifying above upper B upper P with bar
Question 3
A)Identify which diagram represents a step in constructing a perpendicular line that is not a perpendicular bisector.(1 point)
Responses

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 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.

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 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.

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.
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.

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: 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.
Question 4
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)
Responses

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.
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.
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 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.
Question 5
A)Which statement is true for all parallel lines?(1 point)
Responses

Parallel lines have the same slope.
Parallel lines have the same slope.

Parallel lines have slopes that are negative reciprocals of each other.
Parallel lines have slopes that are negative reciprocals of each other.

Parallel lines have a slope of zero.

GPT-4o mini · Answer

### Answers **Question 1:** A) When performing a construction, what are the only tools needed to complete the construction? **Answer:** a compass and a straightedge --- **Question 2:** A) Select the choice that indicates AB←→ is the perpendicular bisector of CD←→ if they intersect at P. **Answer:** AB¯¯¯¯¯¯¯¯⊥CD¯¯¯¯¯¯¯¯ and CP¯¯¯¯¯¯¯¯≅DP¯¯¯¯¯¯¯¯ --- **Question 3:** A) Identify which diagram represents a step in constructing a perpendicular line that is not a perpendicular bisector. **Answer:** 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 XY, intersecting it approximately one fourth of the distance between X and Y. --- **Question 4:** A) Identify one of the steps necessary to construct a parallel line to a given line through a point not on the line. **Answer:** 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. --- **Question 5:** A) Which statement is true for all parallel lines? **Answer:** Parallel lines have the same slope.