Select all transformations that must take any point A to any point B. a

Rotation of 180∘ around the midpoint of segment AB

b

Reflection across the line AB

c

Reflection across the perpendicular bisector of segment AB

d

Translation by the directed line segment BA

e

Rotation of 180∘ around B

f

Translation by the directed line segment AB

g

Rotation of 180∘ around A

You will get 25 points an image of a rectangular prism is shown below: part a: a cross section of the prism is cut with a plane parallel to the base. what is the name of the shape created by the cross section? explain your answer. (5 points) part b: if a cross section of the prism is cut perpendicular to the base, what would be the shape of the resulting cross section? explain your answer. (5 points)

Rose drew a regression line for this paired data set. her line passed through (1, 2) and (3, 5) . what is the equation of rose's regression line?

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply