Perimeter and Area of Rhombi, Trapezoids, and Kites

Question 1

The polygon is and is .

Revolt · Accepted Answer

an octagon

Question 2

The polygon is and is .

Revolt · Accepted Answer

convex

Question 3

The sum of the measures of the interior angles is by the polygon interior angle sum theorem.

Revolt · Accepted Answer

180(n – 2)

Question 4

We are given an n-gon, which has n sides and n vertices. If we choose one of the vertices, we can draw diagonals. These diagonals form triangles. The sum of the interior angle measures of a triangle is degrees. n – 2 triangles would have an interior angle measure sum of . Therefore, the sum of the measures of the interior angles of an n-gon is 180(n – 2)°.

Revolt · Accepted Answer

180(n – 2)

Question 5

For a convex n-gon, interior and exterior angles form angles, whose measures sum to 180°.

Revolt · Accepted Answer

adjacent

Question 6

x =

Revolt · Accepted Answer

14

Question 7

The sign has sides, so it is .

Revolt · Accepted Answer

8

Question 8

We are given an n-gon, which has n sides and n vertices. If we choose one of the vertices, we can draw diagonals. These diagonals form triangles. The sum of the interior angle measures of a triangle is degrees. n – 2 triangles would have an interior angle measure sum of . Therefore, the sum of the measures of the interior angles of an n-gon is 180(n – 2)°.

Revolt · Accepted Answer

n – 3

Question 9

An interior angle of a regular polygon has a measure of 120°. What type of polygon is it?

Revolt · Accepted Answer

hexagon

Question 10

Because we have an n-gon, the sum of the measures of these linear pairs, one exterior angle at each vertex, is °.

Revolt · Accepted Answer

180n

Perimeter and Area of Rhombi, Trapezoids, and Kites Answers

More from this Course

TRY EDGENUITY HACKS