Geometry Quadrilaterals

Question 1

polygon2

Answer 1

• closed figure, nonconsecutive sides don’t intersect

- named by their vertices in order around

Question 2

convex polygon

Answer 2

each interior angle measure

Question 3

diagonal of a polygon

Answer 3

connects 2 nonconsecutive vertices

Question 4

quadrilateral

Answer 4

any 4 sided polygon

Question 5

parallelogram5

Answer 5

• opposite sides are parallel
• opposite sides are congruent
• opposite angles are congruent
• diagonals bisect each other
• all pairs of consecutive angles are supplementary

Question 6

rectangles3

Answer 6

• all properties of a parallelogram
• all angles are right angles
• diagonals are congruent

Question 7

kites4

Answer 7

• 2 disjoint pairs of consecutive sides are congruent
• 1 diagonal is the perpendicular bisector of the other
• 1 pair of opposite angles congruent
• one of the diagonals bisects a pair of opposite angles

Question 8

rhombuses5

Answer 8

• all properties of a parallelogram and kite
• all sides are congruent
• diagonals bisect the angles
• diagonals perpendicular bisect each other
• diagonals form four congruent right triangles

Question 9

squares2

Answer 9

• all properties of a rectangle and rhombus

- diagonals form 4 isosceles right triangles

Question 10

isosceles trapezoids6

Answer 10

• legs congruent
• bases parallel
• lower base angles are congruent
• upper base angles are congruent
• diagonals are congruent
• lower base angles are supplementary to upper base angles

Question 11

proving a parallelogram5

Answer 11

• both pairs of opposite sides are parallel
• both pairs of opposite sides are congruent
• one pair of opposite sides is both parallel and congruent
• diagonals bisect each other
• both pairs of opposite angles are congruent

Question 12

proving a rectangle3

Answer 12

• contains four right angles
• diagonals of a parallelogram are congruent
• parallelogram has 1 right angle

Question 13

proving a kite2

Answer 13

• two disjoint pairs of consecutive sides are congruent

- 1 of the diagonals perpendicular bisects the other

Question 14

proving a rhombus3

Answer 14

• a parallelogram contains a pair of congruent consecutive sides
• a diagonal bisects two angles of a parallelogram
• the diagonals perpendicular bisect each other

Question 15

proving a square

Answer 15

-it is both a rectangle and rhombus

Question 16

proving an isosceles trapezoid3

Answer 16

• nonparallel sides are congruent
• lower or upper base angles are congruent
• diagonals are congruent

Question 17

12 sided polygon

Answer 17

dodecagon

Question 18

15 sided polygon

Answer 18

pentadecagon

Question 19

interior angles formula

Answer 19

(n-2)180

Question 20

exterior angles formula

Answer 20

Se=360

Question 21

diagonals formula

Answer 21

d=(n(n-3))/2

Question 22

regular polygon

Answer 22

polygon that is both equilateral and equiangular

Question 23

regular polygon interior angles formula

Answer 23

((n-2)180)/n

Question 24

regular polygon exterior angles formula

Answer 24

360/n