Chapter 7 Unit TEST: Quadrilaterals and Other Polygons Answers

Rhombus LMNO is shown with its diagonals.

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).

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

ABCD is a square.

Trapezoid A B C D is shown. A diagonal is drawn from point B to point D. Sides B C and A D are parallel. Sides B A and C D are congruent. Angle C B D is 24 degrees and angle B A D is 116 degrees.

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

Figure CDEF is a parallelogram.

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).

Parallelogram W X Y Z is shown. Diagonals are drawn from point W to point Y and from point Z to point X and intersect at point C. The length of W C is (x + 4) feet and the length of C Y is (2 x minus 7) feet.

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.

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

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).

Parallelogram R S T U is shown. Angle S is 70 degrees.

EFGH is a 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.

Quadrilateral A B D C is shown.

Kite FGHK is shown.

The perimeter of a square is 56 cm. What is the approximate length of its diagonal?

Figure ABCD is a parallelogram.