Section 8.1 and 8.2: Similarity

Find the scale factor from DEFG to PQRS.

• 2/3

• 3/2

• 3

• 1/3

Tags

CCSS.7.G.A.1

List all pairs of congruent angles.

• ∠D = ∠R

  ∠E = ∠S

  ∠G = ∠Q

  ∠F = ∠P

• ∠D = ∠G

  ∠E = ∠F

  ∠R = ∠S

  ∠Q = ∠P

• ∠D = ∠P

  ∠E = ∠Q

  ∠F = ∠R

  ∠G = ∠S

• ∠D = ∠S

  ∠G = ∠P

  ∠E = ∠R

  ∠F = ∠Q

Tags

CCSS.HSG.SRT.A.2

Write the ratios of the corresponding side lengths as a statement of proportionality.

• $\frac{\text{PQ}}{DE}=\frac{QR}{EF}=\frac{RS}{FG}=\frac{SP}{GD}$

• $\frac{\text{PQ}}{GD}=\frac{QR}{FG}=\frac{RS}{EF}=\frac{SP}{DE}$

• $\frac{DE}{RS}=\frac{EF}{SP}=\frac{FG}{PQ}=\frac{QR}{GD}$
  

Tags

CCSS.HSG.SRT.A.2

The polygons are similar. Find the value of x.

• 16

• 4

• 12

• 3

Tags

CCSS.HSG.SRT.A.2

The polygons are similar. Find the value of x.

• 12

• 18

• 24

• 9

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Determine whether the polygons are similar. If they are write a similarity statement.

• No; corresponding angles are not congruent.

• $\Delta HJK\sim\Delta LMN$

  Yes;

• No, corresponding sides are not proportional.

Tags

CCSS.HSG.SRT.A.2

Determine if the polygons are similar. If so, write a similarity statement.

• No, corresponding angles are not congruent.

• Yes; $\Delta EFG\sim\Delta DFH$

• No, corresponding sides are not proportional.

Tags

CCSS.HSG.SRT.A.2

The polygons are similar. The area of one triangle is given. Find the area of the other.

• 100 cm²

• 90 cm²

• 86 cm²

• 30 cm²

The two polygons are similar. Find the ratio of the perimeters of RSTU to ABCD.

• 2

•  $\frac{3}{4}$  

• 6

•  $\frac{4}{3}$