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Determine whether each pair of figures is similar. If so, write the similarity statement and scale factor. If not, explain why. Number 1 and 2 on the second part.

Determine whether each pair of figures is similar If so write the similarity statement and scale factor If not explain why Number 1 and 2 on the second part class=

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sqdancefan

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Answer:

  1. JKLM ~ QRSP, scale factor 0.6
  2. ΔABC ~ ΔUVT, scale factor 1.5

Step-by-step explanation:

We can write the similarity statements by naming vertices in order of increasing numbers of arcs, starting with the one having a single arc. Then we can express the side lengths as a reduced ratio, in the same order.

1. JKLM ~ QRSP

  JK : KL : LM : MJ = 20 : 15 : 24 : 25

  QR : RS : SP : PQ = 12 : 9 : 14.4 : 15 = 20 : 15 : 24 : 25 (same ratios)

The scale factor is 12/20 = 0.6.

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2. ΔABC ~ ΔUVT

  AB : BC : CA = 16 : 14 : 12 = 8 : 7 : 6

  UV : VT : TU = 24 : 21 : 18 = 8 : 7 : 6 (same ratios)

The scale factor is 24/16 = 1.5.

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