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

Scale factor from G to H is

Be sure to write your answer in simplest form.

If necessary, write your answer as an improper fraction.

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