Polygon formulas Quad Distance Properties midpoint Polygon formulas

Polygon formulas Quad Distance/ Properties midpoint Polygon formulas Bisect/ Midpoint story problems Potporri (backwards) 100 100 100 200 200 200 300 300 300 400 400 400 500 500 500

Find the sum of the interior angles of an octagon 1080˚ Back

Find the measure of 1 interior angle of a regular pentagon 108 ˚ Back

Find the sum of the exterior angles of a dodecagon 360 ˚ Back

Find the measure of 1 exterior angle of a regular 20 -gon 18˚ Back

Find the sum of the interior angles of a septagon 900 ˚ Back

Which quadrilaterals have: (P = parallelogram, R = rectangle, Rh = rhombus, S = square, IT = isosceles trapezoid) Congruent diagonals R, S, IT Back

Which quadrilaterals have: (P = parallelogram, R = rectangle, Rh = rhombus, S = square, IT = isosceles trapezoid) 4 congruent sides Rh, S Back

Which quadrilaterals have: (P = parallelogram, R = rectangle, Rh = rhombus, S = square, IT = isosceles trapezoid) Opp angles congruent P, R, Rh, S Back

Which quadrilaterals have: (P = parallelogram, R = rectangle, Rh = rhombus, S = square, IT = isosceles trapezoid) Perpendicular diagonals Rh, S Back

Which quadrilaterals have: (P = parallelogram, R = rectangle, Rh = rhombus, S = square, IT = isosceles trapezoid) Diagonals that bisect angles Rh, S Back

Find the distance AND the midpoint: (3, 4) (-2, 5) D = 5. 10 M (½ , 4 ½) Back

Find the distance AND the midpoint: (7, 0) D = 10 M (3 , 3) Back (-1, 6)

Find the distance AND the midpoint: (-7, 5) (2, 8) D = 9. 49 M (-2 ½, 6 ½) Back

Find the distance AND the midpoint: (-12, 5) D = 9. 85 M (-7 ½, 7 ) Back (-3, 9)

Find the distance AND the midpoint: (0, 16) D = 25 M (-3 ½, 4) Back (-7, -8)

E = 40˚. Name the polygon. 360 40 =9 Regular nonagon Back

I = 150˚. Name the polygon 180 – 150 = 30 360 = 12 30 Regular Dodecagon Back

Si = 720˚. Name the polygon. 720 = 180(n – 2) 4=n– 2 6=n hexagon Back

I = 108˚. Name the polygon. 180 – 108 = 72 360 72 Regular pentagon =5 Back

Si = 1620˚. Name the polygon. 1620 = 180(n – 2) 9 =n– 2 11 = n 11 -gon Back

Ray BD bisects <ABC. m<ABD = 6 x m<CBD = 4 x + 14 Find m<ABC. 6 x = 4 x + 14 2 x = 14 x=7 <ABC = 2(6 x) = 12(7) 84 ˚ Back

O is the midpoint of HT. OH = 3 x + 1 TH = 7 x – 6 Find HT. 2(3 x + 1) = 7 x – 6 6 x + 2 = 7 x – 6 8=x HT = 7(8) – 6 50 Back

Ray OD bisects <COL <LOD = 2 x + 6 <COL = 6 x – 8 Find m <DOC. 2(2 x + 6) = 6 x – 8 <DOC = 2 x + 6 4 x + 12 = 6 x – 8 = 2(10) + 6 20 = 2 x 10 = x 26 ˚ Back

A is between C and T. CA = 2 x + 1 AT = 4 x – 1 Find CT 2 x + 1 = 4 x – 1 2 = 2 x 1=x CT = 2(2 x + 1) 12 Back

Ray ID bisects <BIR <BID = 5 x + 5 <RID = 3 x + 23 Find m <DIR 5 x + 5 = 3 x + 23 2 x = 18 x=9 <DIR = 3 x + 23 3(9) + 23 50 ˚ Back

Find the measure of 1 interior angle of a regular 25 -gon. 180(25 – 2) 25 165. 6 ˚ Back

Name all the quadrilaterals with: 4 right angles R, S Back

Find the distance between (-5, 9) and (0, -3) 13 Back

The measure of 1 exterior angle of a regular polygon is 45 ˚. Find the number of sides. 360 45 8 Back

E = 40˚ Name the polygon 360 40 Regular nonagon Back