In the diagram, the length of segment QV is 15 units.

Complete the proof to show that ABCD is a parallelogram. The slope of is The slope of is The slope of is The slope of is

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



On a coordinate plane, triangle X Y Z is shown. Point X is at (1, 3), point Y is at (4, negative 1), and point Z is at (5, 6).




In the diagram, CE=12 units and BE=5 units.

In the parallelogram shown, AE = t + 2, CE = 3t − 14, and DE = 2t + 8.

A partial proof was constructed given that MNOP is a parallelogram. By the definition of a parallelogram,MN ∥ PO and MP ∥ NO.Using MP as a transversal, ∠M and ∠P are same-side interior angles, so they are supplementary.Using NO as a transversal, ∠N and ∠O are same-side interior angles, so they are supplementary.Using OP as a transversal, ∠O and ∠P are same-side interior angles, so they are supplementary.Therefore, __________________ because they are supplements of the same angle.

On a coordinate plane, a line goes through (negative 5, negative 4) and (0, negative 3). A point is at (negative 2, 2).




Based on this information, which pair of lines, together, could be perpendicular to RS? Select two options.





Consider the diagram.

On a coordinate plane, rectangle E F G H is shown. Point E is at (1, negative 1), point F is at (negative 4, 1), point G is at (negative 3, 4), and point H is at (2, 2).



The given line passes through the points (0, ) and (2, 3).





A given line has the equation .What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9)?





On a coordinate plane, parallelogram P Q R S is shown. Point P is at (negative 2, 5), point Q is at (2, 1), point R is at (1, negative 2), and point S is at (negative 3, 2).





Figure TUVS is a parallelogram.

On a coordinate plane, a line goes through (negative 8, negative 4) and (8, negative 4). A point is at (2, 6).

On a coordinate plane, triangle A B C is shown. Point A is at (3, 4), point B is at (negative 5, negative 2), and point C is at (5, negative 2).



Figure ABCD is a parallelogram.

The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
Kevin says that lines p and m will eventually intersect.

On a coordinate plane, kite W X Y Z is shown. Point W is at (negative 3, 3), point X is at (2, 3), point Y is at (4, negative 4), and point Z is at (negative 3, negative 2).





Figure ABCD is a parallelogram.

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