1. Equivalency in Plane Figures - RULES -
4.05
Equivalency in Plane Figures
- RULES -

2. Equivalent Plane Figures
If 2-dimensions shapes have the same area, they are said to be EQUIVALENT.

3. Definition: “Regular”
When a polygon is referred to as “regular” it means that all of the sides are the same length

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

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

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

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

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

9. Comparing Equivalent Polygons -Find Area and Perimeter
25 cm
25.12 cm
28.06 cm
17.72 cm
21.94 cm
13.51 cm
9.29 cm
11 cm
9.53 cm
10 cm

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

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

12. TEST Rule # 2 Flipped 6 cm 12 cm 12 cm 12 cm 5.196152 cm 12 cm 6cm
6cm
12 cm
6 cm
12 cm
12 cm cm
12 cm cm