Ch 8 Similarity

Multiple Choice

If the scale factor is greater than 1, the new figure

• stays the same

• gets smaller

  (a reduction)

• gets larger

  (an enlargement)

Multiple Choice

If the scale factor is between 0 and 1, the new figure

• stays the same

• gets smaller

  (a reduction)

• gets larger

  (an enlargement)

Multiple Choice

The formula for finding the scale factor is

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

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

Fill in the Blanks

Multiple Choice

Look at the two triangle in the picture. The two triangles are similar. Select the correct similarity statement.

• $$\Delta ACB\sim EFD$$

• $$\Delta CBA\sim\Delta DEF$$

• $$\Delta ABC\sim\Delta DEF$$

• None of the statements above are correct.

Multiple Choice

Look at the picture. Find the missing side length. Select your answer below

• A

• B

• C

• D

Multiple Choice

If the triangles are similar, state how.

• AA: Two angles congruent

• SSS: Three sides congruent

• SSS: Three sides proportionate

• SAS: Two sides proportionate + included angle congruent

• Not similar

Multiple Choice

The triangles are similar. State the reason and complete the similarity statement.

• $$\Delta RST\sim\Delta RHG$$ 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 $$AA\sim$$

Multiple Choice

The triangles are similar. State the reason and complete the similarity statement.

• $$\Delta JKL\sim\Delta ABC$$ 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 $$SSS\sim$$

Multiple Choice

The triangles are similar. State the reason and complete the similarity statement.

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

• undefined by undefined

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

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

Multiple Choice

Find the missing length indicated.

Write down your work.

• 30

• 25

• 45

• 50

Multiple Choice

Solve for DC

• 1.5
• 17.1
• 8.4
• 3.5