Ch 8 Similarity

stays the same

gets smaller

(a reduction)

gets larger

(an enlargement)

stays the same

gets smaller

(a reduction)

gets larger

(an enlargement)

$$\frac{Old\ \left(Original\right)\ Image}{New\ \left(to\right)\ Image}$$

$$\frac{New\ \left(to\right)\ Image}{Old\ \left(Original\right)\ Image}$$

$$\Delta ACB\sim EFD$$

$$\Delta CBA\sim\Delta DEF$$

$$\Delta ABC\sim\Delta DEF$$

None of the statements above are correct.

A

B

C

D

AA: Two angles congruent

SSS: Three sides congruent

SSS: Three sides proportionate

SAS: Two sides proportionate + included angle congruent

Not similar

$$\Delta RST\sim\Delta RHG$$ by $$SAS\sim$$

$$\Delta RST\sim\Delta RHG$$ by $$SSS\sim$$

$$\Delta RST\sim\Delta GHR$$ by $$SAS\sim$$

$$\Delta RST\sim\Delta RGH$$ by $$AA\sim$$

$$\Delta JKL\sim\Delta ABC$$ by $$SSS\sim$$

$$\Delta JKL\sim\Delta BCA$$ by $$SSS\sim$$

$$\Delta JKL\sim\Delta CAB$$ by $$SSS\sim$$

$$\Delta JKL\sim\Delta BCA$$ by $$SSS\sim$$

$$\Delta PQR\sim\Delta TUV$$ by $$SAS\sim$$

undefined by undefined

$$\Delta PQR\sim\Delta VUT$$ by $$SSS\sim$$

$$\Delta PQR\sim\Delta VUT$$ by $$AA\sim$$

30

25

45

50