Similar Figures

Similar Figures|||What is the simplified form of all of these ratios? because the ratios of their matching sides were equal.In the last example, the triangles were similar 15 10= 12 8= 9 6= L O Is rectangle LMNO similar to rectangle HIJK? 10 N M 4 H K 8 I J 3 L O Is rectangle LMNO similar to rectangle HIJK? 1. Are the corresponding (matching) 10 angles the same size? Yes. N M 4 No. H K 8 I J 3 L O Is rectangle LMNO similar to rectangle HIJK? 1. Are the corresponding (matching) 2. Are the corresponding (matching) sides in the same ratio? angles the same size? 10 Yes. N M 4 H K 8 I J 3 L O Is rectangle LMNO similar to rectangle HIJK? IJ Which side corresponds to LM? 10 HI HK N M 4 H K MN 8 I J 3 L O Is rectangle LMNO similar to rectangle HIJK? HI Which side corresponds to MN? 10 NO IJ N M 4 H K JK 8 I J 3 L O Is rectangle LMNO similar to rectangle HIJK? Write the unsimplified ratio of LM to HI: 10 N M 4 H K 8 I J 3 L O Is rectangle LMNO similar to rectangle HIJK? Write the ratio of MN to IJ: 10 N M 4 H K 8 I J 3 L O Is rectangle LMNO similar to rectangle HIJK? Is the ratio LM:HI equal to the ratio MN:IJ ? 10 108 = N M 4 43 H K Yes No 8 I J 3 L O Now answer the question: Is rectangle LMNO similar to rectangle HIJK? 10 Yes No N M 4 H K 8 I J 3 L 4 O 1. The angles are equal, but2. The sides are not in the same ratio.Is rectangle LMNO similar to rectangle HIJK? Now answer the question: 10 10 NO! N M 4 3 H K 8 8 I J 3 A 8 60 ^{∘}B Is parallelogram ABCD similar to parallelogram KLMN? 120 ^{o}12 12 120 ^{∘}D 60 ^{o}8 C K 4 60 ^{∘}L 120 ^{∘}6 120 ^{∘}6 60 ^{∘}N 4 M A 8 60 ^{∘}1. Are the corresponding angles equal? B Is parallelogram ABCD similar to parallelogram KLMN? 120 ^{∘}12 12 120 ^{∘}Yes. No. D 60 ^{∘}8 C K 4 60 ^{∘}L 120 ^{∘}6 120 ^{∘}6 60 ^{∘}N 4 M 2. Do the sides form the same ratio ? A parallelogram KLMN? Is parallelogram ABCD similar to 8 60 ^{∘}Complete this ratio: B 120 ^{∘}12 12 120 ^{∘}D 60 ^{∘}8 C AB KL K 4 60 ^{∘}= L 120 ^{∘}6 120 ^{∘}6 60 ^{∘}N 4 M A 2. Do the sides form the same ratio? parallelogram KLMN? Is parallelogram ABCD similar to 8 60 ^{∘}Complete this ratio: B 120 ^{∘}12 12 120 ^{∘}D 60 ^{∘}8 C LM BC K 4 60 ^{∘}= L 120 ^{∘}6 120 ^{∘}6 60 ^{∘}N 4 M 2. Do the sides form the same ratio ? Is parallelogram ABCD similar to A Are the ratios equal ? Yes. 8 60 ^{∘}B 120 ^{∘}12 No. 12 120 ^{∘}D 60 ^{∘}8 C 8 4 K 4 60 ^{∘}parallelogram KLMN? = L 120 ^{∘}6 12 6 120 ^{∘}6 60 ^{∘}N 4 M Is parallelogram ABCD similar to A 8 60 ^{∘}B 120 ^{∘}12 Yes. 12 120 ^{∘}D No. 60 ^{∘}8 C K 4 60 ^{∘}parallelogram KLMN? L 120 ^{∘}6 120 ^{∘}6 60 ^{∘}N 4 M Is parallelogram ABCD similar to A YES!! Corresponding angles are equal ANDcorresponding sides are in the same ratio.8 60 ^{∘}B 120 ^{∘}12 12 120 ^{∘}D 60 ^{∘}8 C K 4 parallelogram KLMN? 60 ^{∘}L 120 ^{∘}6 120 ^{∘}6 60 ^{∘}N 4 M |

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