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).




The perimeter of a rhombus is 28 centimeters. What is the length of each side of the rhombus?
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.

EFGH is a rhombus.

Rhombus LMNO is shown with its diagonals.

To build the roof for a paper house, a rectangular paper is cut to form a trapezoid. Which diagram shows the correct cuts?




Figure ABCD is a parallelogram.

Rhombus LMNO is shown with its diagonals.

On a coordinate plane, rectangle W X Y Z is shown. Point W is at (negative 6, 6), point X is at (negative 4, 0), point Y is at (negative 7, negative 1), and point Z is at (negative 9, 5).





The parallelogram shown represents a map of the boundaries of a natural preserve. Walking trails run from points A to C and from points B to D. The measurements shown represent miles.

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 PQRS is a parallelogram. The expressions represent the measures of the angles in degrees.

Figure TUVS is a parallelogram.

The figure is a parallelogram. One diagonal measures 28 units.

The perimeter of the rectangle is 28 units.

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