Directed Line Segments and Modeling — Unit test Answers

Consider the two planes.

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

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.

On a coordinate plane, a line goes through (negative 3, 2) and (0, 1). A point is at (3, 4).

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).

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, a line is drawn from point K to point J. Point K is at (9, 2) and point J is at (1, negative 10).

A coordinate plane is labeled Street on the x-axis and Avenue on the y-axis. Ping is at point (3, 6) and Ari is at point (21, 18). A line is drawn from Ping to Ari.

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

Quadrilateral ABCD is shown on the grid.

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?

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

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

On a number line, the directed line segment from Q to S has endpoints Q at –14 and S at 2. Point R partitions the directed line segment from Q to S in a 3:5 ratio.Which expression correctly uses the formula to find the location of point R?

The given line segment has a midpoint at (3, 1).

Which statements are true about triangle XYZ? Select three options.

The midpoint of a segment can be found using the formulas for a directed line segment, x = (x2 – x1) + x1 and y = (y2 – y1) + y1. When using these formulas to find a midpoint, which is true?

On a coordinate plane, line A B goes through (negative 2, 4) and (0, negative 4). Point Z is at (0, 2).