Directed Line Segments and Modeling — Unit test Answers

The midpoint of is point P at (−16,6). If point A is at (−10,8), what are the coordinates of point B?

Quadrilateral ABCD is shown on the grid.

Which points lie on the line that passes through point P and is parallel to the given line? Select three options.

On a coordinate plane, 2 lines are shown. Line A B has points (negative 4, negative 2) and (4, 4). Line C D has points (0, negative 3) and (4, 0).

In the diagram, the length of segment TR can be represented by 5x – 4.

Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each side to answer the question. Which statement about triangle QRS is true?

On a coordinate plane, 2 lines are shown. Line P Q has points (negative 5, 3) and (5, 1). Line R S has points (negative 4, negative 2) and (0, negative 4).

Two parallel lines are crossed by a transversal.

Consider the two planes.

Point A is at –2 and point B is at 5. Which shows how to determine the point that will divide the segment into a 4:5 ratio using the formula x = (x2 – x1) + x1?

On a coordinate plane, line P Q goes through (negative 6, 4) and (4, negative 4). Point R is at (4, 2).

Given: and g is a transversalProve:

Point P partitions the directed segment from A to B into a 1:3 ratio. Q partitions the directed segment from B to A into a 1:3 ratio. Are P and Q the same point? Why or why not?

Point A has an x coordinate of −2 and lies in a circle with a center at (0, 0) and a radius of 5.

On a coordinate plane, a line goes through (negative 4, 0) and (4, negative 4). A point is at (2, 3).