Unit 2 Similarity

Find the scale factor of the dilation of Triangle ABC.

• 1/2

• 2

• 3

• 1/3

Describe the dilation.

• Figure ABCD was dilated using a scale factor of 2 and the origin as the center.

• Figure ABCD was dilated using a scale factor of 1/2 and the point A as the center.

• Figure ABCD was dilated using a scale factor of 4 and the origin as the center.

• Figure ABCD was dilated using a scale factor of 2 and the point A as the center.

Complete the rule for the dilation to take figure A to figure B. (x, y) --> _______________________

• (2x, 2y)

• $\left(\frac{x}{2},\ \frac{y}{2}\right)$

• (x - 6, y - 6)

• (x + 6, y + 6)

Figures A and B are similar. What is the length of x?

• 7

• 2

• 8

• 10

If two figures are similar, the corresponding sides are ______________.

• equal

• congruent

• proportional

• supplementary

What is the height of the Tree (in meters)?

Which proportion could be used to solve for the height of the tree?

• $\frac{h}{6}=\frac{24}{4}$
  

• $\frac{h}{24}=\frac{6}{4}$
  

• $\frac{h}{4}=\frac{24}{6}$
  

• $\frac{6}{h}=\frac{24}{4}$
  

Solve for x in the diagram below.

Choose the similarity statement for the triangles.

• ΔMNL ∼ ΔOPQ
• ΔNOM ∼ ΔPQL
• ΔLMN ∼ ΔPQO
• ΔMLN ∼ ΔPQO

If the triangles are similar, state the reason. If not, choose not similar.

• Not similar