Perimeter and Area of Rhombi, Trapezoids, and Kites — Unit test Answers

A regular pentagon is shown.

On a coordinate plane, triangle A B C and parallelogram G H J K are shown. Triangle A B C has points (2, 0), (1, negative 6), (negative 2, negative 4). Parallelogram G H J K has points (0, 0), (1, 2), (negative 2, 4), and (negative 3, 2).

A circle is shown. 4 radii are drawn. Chords are drawn to connect the radii points on the circle to form 2 triangles. The triangles have base lengths of 6 centimeters and the other 2 sides have lengths of 5 centimeters. The distance between the base of the triangle to the outline of the circle is 1 centimeter. Everything around the triangles is shaded.

On a coordinate plane, parallelogram R S T U has points (negative 4, 4), (2, 6), (6, 2), and (0, 0).

A section of a rectangle is shaded to form a trapezoid. The lengths of the 2 bases are 7 and x. The length of a side that forms a right angle with side x is 7.

An equilateral triangle has an apothem measuring 2.16 cm and a perimeter of 22.45 cm.

A trapezoid, square, and semicircle are connected to form a composite figure. Trapezoid M D C K has base lengths of 8 millimeters and 4 millimeters. Square A B C D has side lengths of 2 millimeters. Line A B is the diameter of the semicircle and has a length of 4 millimeters.

A section of a rectangle is shaded to form a rhombus. The length of one side of the rectangle is 15, and the height is x.

On a coordinate plane, triangle L M N has points (negative 1, 2), (negative 1, negative 4), and (3, negative 4).

Parallelogram A B C D is shown. Line segment X Y goes from point X on side A B to point Y on side C D to form 2 trapezoids.

On a coordinate plane, parallelogram R S T U has points (negative 3, 2), (4, negative 1), (4, negative 4), and (negative 3, negative 1).

A composite figure is comprised of a square, trapezoid, and a rectangle. The square has side lengths of 10 centimeters. The trapezoid has base lengths of 8 centimeters and 14 centimeters. The height of the trapezoid is 4 centimeters. The rectangle has side lengths of 20 centimeters and 6 centimeters.

3 shapes are combined to form a composite figure. A semicircle is on the bottom, and then a small rectangle connects the semicircle to a triangle.

On a coordinate plane, trapezoid A B C D has points (negative 5, negative 2), (negative 1, 2), (0, negative 1), (negative 2, negative 3).

The area of the regular pentagon is 6.9 cm2.

The regular hexagon has a radius of 4 in.

A regular decagon has a radius of 8 cm.What is the approximate area of the decagon? Recall that a decagon is a polygon with 10 sides.

A trapezoid has base lengths of 12 centimeters and 13 centimeters. The other sides have lengths of 5 centimeters and 10 centimeters. A rectangle with side lengths of 2 centimeters and 5 centimeters is connected to the side with length 10 centimeters.

Which statements about finding the area of the equilateral triangle are true? Select three options.

A rhombus with congruent sides is shown. Diagonals are drawn. The length of one diagonal is 6, and the length of the other diagonal is 8. The diagonals intersect to cut the lengths in half.