Properties of Quadrilaterals

Question 1

How do you find the measure of one central angle?

Answer 1

360/n

Question 2

What is the measure of one interior angle

Answer 2

(n-2)180/n

Question 3

Total Sum of Interior Angles

Answer 3

(n-2) 180

Question 4

The Measure of 1 exterior angle

Answer 4

120- (n-2)180/n

Question 5

Total Exterior Angles

Answer 5

360

Question 6

Amt. of Diagonals

Answer 6

n(n-3)/2

Question 7

What are the properties of Parallelograms

Answer 7

A quadrilateral
with two pairs of parallel sides

1.. Opposite sides are congruent
2. Opposite Angles are congruent
3. Consecutive Angles are
supplementary
4. Diagonals bisect each other

Question 8

Properties of Rhombus

Answer 8

A parallelogram
where all sides are equal

1. Has four congruent sides
   2.Diagonals are perpendicular
   3.Consecutive Angles are
   supplementary
2. Diagonals Bisect each other

Plus Properties of Paralleograms

Question 9

Properties of A Square

Answer 9

A Parallelogram with
four congruent sides and four
congruent angles

1. Opposite sides are congruent
2. Opposite Angles are congruent
3. Consecutive Angles are
   supplementary
4. Diagonals bisect each other

Question 10

Properties of a Rectangle

Answer 10

A quadrilateral that
has four right angles

Question 11

Properties of A Trapezoid

Answer 11

A quadrilateral with
exactly one pair of parallel sides
(bases). It has two pairs of base
angles( formed with legs) and
two non parallel legs

Isosceles Trapezoids
1. Each pair of base angles is
congruent
2. The legs are congruent
3. Diagonals are congruent
4. ( For Trapezoids )The mid-
segment is parallel to each base
and its length is 1⁄2 the sum of the

lengths of the bases

Question 12

Properties of a Trapezoidl

Answer 12

A quadrilateral that has two
pairs of consecutive congruent
sides ( opposite sides are not
congruent)