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.

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).

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

Two parallel lines, e and f, are crossed by two transversals.

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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.