Similar Figures
 Similar Figures ||| What is the simplified form of all of these ratios?because the ratios of their matching sideswere equal.In the last example, the triangles were similar1510=128=96= LOIs rectangle LMNO similar to rectangle HIJK?10NM4HK8IJ3 LOIs rectangle LMNO similar to rectangle HIJK?1. Are the corresponding (matching)10angles the same size?Yes.NM4No.HK8IJ3 LOIs rectangle LMNO similar to rectangle HIJK?1. Are the corresponding (matching)2. Are the corresponding (matching) sidesin the same ratio?angles the same size?10Yes.NM4HK8IJ3 LOIs rectangle LMNO similar to rectangle HIJK?IJWhich side corresponds to LM?10HIHKNM4HKMN8IJ3 LOIs rectangle LMNO similar to rectangle HIJK?HIWhich side corresponds to MN?10NOIJNM4HKJK8IJ3 LOIs rectangle LMNO similar to rectangle HIJK?Write the unsimplified ratio of LM to HI:10NM4HK8IJ3 LOIs rectangle LMNO similar to rectangle HIJK?Write the ratio of MN to IJ:10NM4HK8IJ3 LOIs rectangle LMNO similar to rectangle HIJK?Is the ratio LM:HI equal to the ratio MN:IJ ?10108=NM443HKYesNo8IJ3 LONow answer the question:Is rectangle LMNO similar to rectangle HIJK?10YesNoNM4HK8IJ3 L4O1. The angles are equal, but2. The sides are not in the same ratio.Is rectangle LMNO similar to rectangle HIJK?Now answer the question:1010NO! NM43HK88IJ3 A860∘BIs parallelogram ABCD similar toparallelogram KLMN?120o1212120∘D60o8CK460∘L120∘6120∘660∘N4M A860∘1. Are the corresponding angles equal?BIs parallelogram ABCD similar toparallelogram KLMN?120∘1212120∘Yes.No.D60∘8CK460∘L120∘6120∘660∘N4M 2. Do the sides form the same ratio ?Aparallelogram KLMN?Is parallelogram ABCD similar to860∘Complete this ratio:B120∘1212120∘D60∘8CABKLK460∘=L120∘6120∘660∘N4M A2. Do the sides form the same ratio?parallelogram KLMN?Is parallelogram ABCD similar to860∘Complete this ratio:B120∘1212120∘D60∘8CLMBCK460∘=L120∘6120∘660∘N4M 2. Do the sides form the same ratio ?Is parallelogram ABCD similar toAAre the ratios equal ?Yes.860∘B120∘12No.12120∘D60∘8C84K460∘parallelogram KLMN?=L120∘6126120∘660∘N4M Is parallelogram ABCD similar toA860∘B120∘12Yes.12120∘DNo.60∘8CK460∘parallelogram KLMN?L120∘6120∘660∘N4M Is parallelogram ABCD similar toAYES!! Corresponding angles are equal ANDcorresponding sides are in the same ratio.860∘B120∘1212120∘D60∘8CK4parallelogram KLMN?60∘L120∘6120∘660∘N4M
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