Figure TUVS is a parallelogram.

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, 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).




Kite FGHK is shown.
Quadrilateral R S T Q is shown. Angle R is 132 degrees, angle Q is 56 degrees, and angle T is 79 degrees.

If quadrilateral ABCD is an isosceles trapezoid, which statements must be true? Select three options
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

EFGH is a rhombus.

Rhombus LMNO is shown with its diagonals.

In parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, andOP = (2x – 1) m.

Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two sides measure 13 cm each. One diagonal, EG, measures 24 cm.

WXYZ is a trapezoid with WX ≅ YZ.

If quadrilateral ABCD is an isosceles trapezoid, which statements must be true? Select three options
Parallelogram R S T U is shown. Angle S is 70 degrees.

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