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
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¯¯¯¯¯¯¯¯
Identify which diagram represents a step in constructing a perpendicular line that is not a perpendicular bisector.
"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
To determine the tools needed to complete a construction, we need to know what type of construction is being performed. However, in many cases, a construction project typically requires a combination of tools to ensure accuracy and efficiency.
For basic construction tasks, such as drawing straight lines, creating angles, and measuring lengths, the most common tools used are a compass, a straightedge, and a ruler.
- A compass is used for drawing circles, arcs, and curves.
- A straightedge is used to draw straight lines, ensuring they are perfectly linear.
- A ruler is used for measuring lengths and distances accurately.
Therefore, the correct answer in this scenario would be option D: a compass, a straightedge, and a ruler. These tools are versatile and commonly used in construction to achieve precision and consistency.
D. a compass, a straightedge, and a ruler
AP¯¯¯¯¯¯¯¯≅BP¯¯¯¯¯¯¯¯
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.