1. EQUIVALENT
FIGURES
& SOLIDS

2. 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:

3. square rectangle The following rectangles are equivalent. 12 cm 2 cm
A = 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

4. 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