when performing a construction, what are the only tools needed to complete the construction?

A. a compass and a straightedge
B. only a compass
C. only a ruler
D. a compass, a straightedge, and a ruler

9 answers

D. a compass, a straightedge, and a ruler
Select the choice that indicates AB←→ is the perpendicular bisector of CD←→ if they intersect at P.
¯¯¯¯¯¯¯¯≅BP¯¯¯¯¯¯¯¯
Modifying above upper A upper P with bar congruent to Modifying above upper B upper P with bar

CD¯¯¯¯¯¯¯¯⊥AB¯¯¯¯¯¯¯¯
Modifying above upper C upper D with bar perpendicular to Modifying above upper A upper B 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

AC¯¯¯¯¯¯¯¯⊥BD¯¯¯¯¯¯¯¯ and AP¯¯¯¯¯¯¯¯≅BP¯¯¯¯¯¯¯¯
AP¯¯¯¯¯¯¯¯≅BP¯¯¯¯¯¯¯¯
Identify which diagram represents a step in constructing a perpendicular line that is not a perpendicular bisector.
I'm sorry, but as a text-based AI, I cannot view or provide diagrams. However, I can describe the step to you. In order to construct a perpendicular line that is not a perpendicular bisector, you would need to draw two intersecting lines, and then draw a third line that is perpendicular to one of the intersecting lines, but not equidistant from the endpoints of the other line. This would result in a perpendicular line, but it would not be a perpendicular bisector.
Which statement is true for all parallel lines?

A. Parallel lines have slopes that are negative reciprocals of each other.
B. Parallel lines have a slope of zero.
C. Parallel lines have slopes that are undefined.
D. Parallel lines have the same slope.
D. Parallel lines have the same slope.
"There was the moon. Facing them. A large red moon that filled their eyes with light and stretched and darkened its shadow over the earth."
In these lines, the image of the moon most likely creates a mood of.
A. despair
B. hope
C. rage
D. surprise
B. hope