Similar figures & scale drawings
SIMILAR FIGURES Have the same shape, but not necessarily the same size Have corresponding angles Have corresponding sides Corresponding Angles X A 53 53 6 9 37 B 37 C 8 Y 12 Z Corresponding Sides
Key Concepts Similar figures have 2 properties: 1. Corresponding Angles must have the same measurement 2. The lengths of Corresponding Sides must be proportional
To set up the proportion… Put measurements for the smaller figure in the numerator spots and the measurements for the bigger figure in the denominator spots Cross Multiply
Example… 24 E F A 16 B x 18 D C G H x = 16 24 Step 1 – cross multiply 24x = 18(16) Step 2 – multiply 24x = 288 Step 3 – divide by whatever is connected to your variable 24x = 288 24 24 x = 12