EQUIVALENT FIGURES & SOLIDS

Two figures are equivalent if their areas are equal Two figures are equivalent if their areas are equal. Equivalent figures do not necessarily have the same shape, congruent corresponding angles or even the same number of sides. To determine whether 2 figures are equivalent, it is necessary to calculate the area using appropriate formulae. RECTANGLE: TRIANGLE: CIRCLE: PARALLELOGRAM: SQUARE: RHOMBUS: TRAPEZOID:

square rectangle The following rectangles are equivalent. 12 cm 2 cm A = 24 cm2 The following square and rectangle are equivalent. 8 cm 3 cm A = 24 cm2 3 cm square 2 cm rectangle 6 cm 4 cm A = 24 cm2 The following rectangle is equivalent to its accompanying triangle. 24 cm 5 cm 12 cm 5 cm

CUBE CONE Rectangular Prism CYLINDER Two solids are equivalent if their volumes are equal. Equivalent solids do not necessarily have the same shape, same areas or congruent corresponding angles. To determine whether 2 solids are equivalent, it is necessary to calculate the volume using appropriate formulae. Rectangular Prism CUBE CONE CYLINDER