Coordinate Plane Parallel Perpendicular Quadrilateral

Which could tell you that this is a parallelogram?

• Opposite angles are supplementary

• Consecutive angles are supplementary

• Opposite sides are parallel

• Diagonals bisect each other

• This is not a parallelogram

If you think this shape is specifically a rectangle, which of the following could prove it? (Not a parallelogram, just a rectangle.)

• All sides are congruent

• Opposite sides are parallel

• Diagonals are congruent

• Diagonals bisect each other

• Sides are perpendicular

Katie would like to know if quadrilateral ABCD is a parallelogram. Determine which of the following methods would help her prove ABCD is a parallelogram.

• Find the distance of each side

• Find the slope of each side

• Find the angle measure of all four vertices

• Find the slope of the two diagonals

Which coordinate pair could not be the fourth vertex of the parallelogram?

• (-4,-3)

• (6,-1)

• (-5,-3)

• (0,7)

Two lines that intersect to form 4 right angles; slopes are opposite reciprocals.

• Parallel Lines

• Linear Pair

• Perpendicular Lines

• Diagonals

The analytical use of algebra to study geometric properties of figures drawn on the coordinate plane.

• Coordinate Geometry

• Spherical Geometry

• Euclidian Geometry

• Statistics

• parallel

• perpendicular

• neither

What is the equation of a line that is parallel to −3x+4y=4 and passes through the point (4, 0)?

Type the equation with NO SPACES in slope-intercept form!

What is the equation of a line that is perpendicular to −x+2y=4 and passes through the point (−2, 1)? Type your answer with NO SPACES in slope-intercept form!

The coordinates of the vertices of quadrilateral ABCD are A(−5, 1),  B(−2, 5), C(5, 3), and D(2, −1).

ABCD is a...

• parallelogram

• trapezoid

• neither