U7aL3 Solving Similar Polygons More Practice M16.1

Find the similarity ratio for the smaller polygon to the bigger polygon in simplest form.

Remember: the similarity ratio is the same as the scale factor, and any of these can be written in colon form.

Example: 1/2 can be written as 1 : 2.

• 3 : 5

• 15 : 25

• 1 : 2

• 3 : 7

Tags

CCSS.6.RP.A.3A

Find the similarity ratio for the smaller polygon to the bigger polygon in simplest form.

• 5 : 6

• 15 : 18

• 1 : 2

• 3 : 5

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3

The polygons shown are similar. Determine the measure of the missing side.

• 18

• 12

• 6

• 3

Tags

CCSS.6.RP.A.3A

The polygons shown are similar. Determine the measure of the missing side.

• Set Up Proportions

  1/2 = 6/?

• Cross Multiply

  ? = 12

• Determine the corresponding sides:

  6 corresponds to 3.

  ? corresponds to 6.

• Find the scale factor.

  3/6 = 1/2

Tags

CCSS.7.RP.A.2B

• Subtract 6

  3x = 24

  Divide by 3

  x = 8

• 3(2 + x) = 6(5)

  Do the rainbow and multiply.

• 6 + 3x = 30

Tags

CCSS.7.RP.A.3

• 24x - 168 = 72

• Add 168

  24x = 240

  Divide by 24

  x = 10

• 12(2x - 14) = 4(18)

  Do the rainbow and multiply.

Tags

CCSS.7.RP.A.3

• Add 8

  16x = 176

  Divide by 16

  x = 11

• 8(2x - 1) = 14(12)

  Do the rainbow and multiply

• 16x - 8 = 168

Tags

CCSS.7.RP.A.3

• 15(2x + 2) = 18(20)

  Do the rainbow and multiply

• Subtract 30

  3x = 330

  Divide by 3

  x = 110

• 30x + 30 = 360

Tags

CCSS.7.EE.B.3

What side corresponds to KL?

• CA

• AC

• CB

• LK

Match the corresponding sides and find scale factor, also known as similarity ratio

• side LK

• 5/11 or .45

• side QR →

• side KJ

• side RS →

• side JL

• side SQ →

Tags

CCSS.6.RP.A.3A