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## PowerPoint Slideshow about ' Use Similar Polygons' - ataret

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Similar Polygons

- Similar Polygons: all corresponding angles are congruent and the sides are proportional.

When 2 polygons are similar

The symbol used when 2 figures are similar is: ~

When you know 2 figures are similar you must name the corresponding angles in the same order.

Are the figures named correctly? corresponding sides.

yes

Are the figures named correctly? corresponding sides.

yes

Scale factor corresponding sides.

- The scale factor is the simplified ratio of corresponding sides of a similar polygon

Determine whether the polygons are similar…then state a similarity statement, and find the scale factor.

yes

„ABC~„FDE

„ACB~„FED

„BCA~„DEF

„BAC~„DFE

„CAB~„EFD

„CBA~„EDF

Determine whether the polygons are similar…then state a similarity statement.

yes

„ABC~„FDE

„ACB~„FED

„BCA~„DEF

„BAC~„DFE

„CAB~„EFD

„CBA~„EDF

What is the scale factor of ZWXY to FJHG ? similarity statement.

What is the scale factor of QRST to ABCD? similarity statement.

What is the scale factor of QRST to ZWXY ? similarity statement.

Not similar

Page 376 similarity statement.

- # 3 - 8

Use the scale factor to find the length of a side. similarity statement.

Cross multiply

3(20) = 4x

60 = 4x

15 = x

Find x similarity statement.

x = 18

Find x similarity statement.

x = 24

Find y similarity statement.

y= 12

Find the scale factor, then find the lengths of the sides, and the perimeter.

P= 45

x

P= 60

y

3x = 4(15)

3y = 4(21)

3x = 60

3y = 84

x = 20

y = 28

Find the scale factor, then find the lengths of the sides, and the perimeter.

x

P= 100

P= 60

y

z

5y = 3(20)

3(25) = 5x

5z = 3(20)

5y = 60

5z = 60

75 = 5x

y = 12

z = 12

15 = x

Worksheet and the perimeter.

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