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Which pairs of figures are similar polygons?

Which pairs of figures are similar polygons?-example-1
User HaxElit
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2 Answers

5 votes
all except the triangles
User SexyNerd
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The only pair of similar figures is BDHV and GNEF, the trap-ezoids at the bottom.

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Similar figures have both same-size angles and same-ratio sides.

Comparing ADLH to JBEK, we find AH/JK = 18/9 = 2, but LD/EB = 24/16 = 1.5. The side ratios differ (even though the angles are marked as congruent). The figures are not similar. (and the angles cannot be congruent as marked)

Comparing WHAT to SKGE, we find WT/TA = 40/22 ≈ 1.8182, and SE/EG = 16/10 = 1.6. The side ratios are different, so the figures are not similar.

Comparing DEF to ABC, we find the angles are different, so the figures are not similar.

Comparing BDHV to GNEF, we find the corresponding angles are all marked as congruent and the side ratios are all 18/12 = 21/14 = 33/22 = 3/2, the same. These figures are similar.

User Mao
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