Equivalent Plane Figures If 2 dimensions shapes have

Equivalent Plane Figures • If 2 -dimensions shapes have the same area, they are said to be EQUIVALENT. Definition: “Regular” • When a polygon is referred to as “regular” it means that all of the sides are the same length

Comparing Equivalent Quadrilaterals -Find the Area and Perimeter 6 cm 9 cm 12 cm 6 cm 18 cm 4 cm 3 cm 2 cm What do you notice?

Comparing Equivalent Triangles -Find the Area and Perimeter H=18 cm H=9 cm B=2 cm B=4 cm H=5. 583629155 cm B=6. 4474 cm What do you notice?

Rule # 1 Of all equivalent polygons with the same number of sides, the regular polygon will always have the smallest perimeter

“Flip” Rule #1 • Of all polygons with the same number of sides and the same perimeter, the regular polygon will have the greatest area

TEST Rule # 1 Flipped 6 cm 10 cm 6 cm 2 cm

Comparing Equivalent Polygons -Find Area and Perimeter 25 cm 21. 94 cm 17. 72 cm 06 28. 17. 72 cm cm 17. 72 cm 25. 12 cm 17. 72 cm

13 9. 29 cm . 51 11 cm cm 10 cm 9. 53 cm

Rule #2 • Of all equivalent polygons, the one with the greatest number of sides will always have the smallest perimeter

Flip Rule #2 • Of all regular polygons with the same perimeter, the one with the most sides will have the greatest area

TEST Rule # 2 Flipped 12 cm 9 cm

6 cm 5. 72 9 5. 196152 cm 577 951 cm