Trapezoids and Kites — Unit test Answers

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.

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).

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).

Rhombus LMNO is shown with its diagonals.

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

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.

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

EFGH is a rhombus.

Figure ABCD is a parallelogram.

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

Figure CDEF is a parallelogram.

Kite FGHK is shown.

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