Quadrilaterals and Other Polygons

Question 1

The sum of the measures of the n angles in a polygon with n sides is…

Answer 1

(n - 2) x 180

Question 2

In any polygon, the sum of the exterior angles, taking one at each vertex, is…

Answer 2

360

Question 3

In any regular polygon the measure of each interior angle is

Answer 3

((n-2)x180)/n

Question 4

In any regular polygon, the measure of each exterior angle is

Answer 4

360/n

Question 5

A parallelogram is..

Answer 5

a quadrilateral in which both pairs of opposite sides are parallel.

Question 6

A parallelograms opposite sides have what property?

Answer 6

The opposite sides of a parallelogram are equal.

Question 7

The opposite angles of a parallelogram have what property?

Answer 7

The opposite angles of a parallelogram are equal.

Question 8

The consecutive angles of a parallelogram have what properties?

Answer 8

The consecutive interior angles of a parallelogram add up to 180. Ex: a + b + 180, b + c + 180 , c + d = 180, etc.

Question 9

When a parallelogram is divided by two diagonals that bisect each other than the two halves of the total line are ?

Answer 9

equal.

Question 10

A parallelogram that is divided by a diagonal line is split into…

Answer 10

two congruent triangles. (The triangles have the same size and shape.)

Question 11

In addition to the definition of a parallelogram, what other criteria pertain to rectangles?

Answer 11

1. ) the measure of each angel is 90.

2. ) The diagonals of a rectangle have the same length: AC = BD

Question 12

Not only must squares meet the criteria of a parallelogram and a rectangle, but also these additional criteria…

Answer 12

1. ) All four sides have the same length.
2. ) Each diagonal divides the square into two 45-45-90 right triangles.
3. ) The diagonals are perpendicular to each other.

Question 13

A trapezoid is a quadrilateral in which…

Answer 13

one pair of sides is not parallel and the other pair of sides is parallel.

Question 14

The parallel sides of a trapezoid are called…

Answer 14

bases and the bases are never equal.

Question 15

The nonparallel sides of the trapezoid are..

Answer 15

not equal.

Question 16

If the non-parallel sides of a triangle are parallel than it is what kind of trapezoid?

Answer 16

An isosceles triangle.

Question 17

The area formula for a parallelogram is

Answer 17

A = bh

Question 18

The area formula for a rectangle

Answer 18

a = length x width

Question 19

The area formula for a trapezoid is…

Answer 19

A = (1/2) (b1 + b2)h

Question 20

For a given perimeter, a rectangle is in fact a square when…

Answer 20

For a given perimeter, the rectangle with the largest area is a square. For a given area, the rectangle with the smallest perimeter is a square.

Question 21

If a square is bisected by two lines then each of the triangles created is…

Answer 21

one fourth of the area of the square.

Question 22

Joining the midpoints of the four sides of any quadrilateral creates…

Answer 22

a parallelogram whose area is one-half the area of the original quadrilateral.

Question 23

For a given perimeter, the rectangle with the largest area is a …

Answer 23

square

Question 24

For a given area, the rectangle with the smallest perimeter is a …

Answer 24

square

Question 25

The area formula of an equilateral paralellogram is..

Answer 25

A = B * H