Congruent and Similar Figures with Equations

The pair of figures is similar. Find the missing side.

• x = 20

• x = 12

• x = 5

• x = 4

Tell whether the two figures are congruent.

• Yes, same size and same shape

• No, same shape but different sizes

• No, different size and different shapes

The pair of figures is similar. Set up and solve a proportion to find the missing side length.(x)

• x = 12

• x = 3

• x = 40

• x = 4

The pair of figures is similar. Set up and solve a proportion to find the missing side length.(x)

• x = 20

• x = 12

• x = 5

• x = 4

Set up and solve a proportion to find the height of the tree.

• 8 ft

• 12 ft

• 13 ft

• 15 ft

The polygons are similar. Set up and solve a proportion to find the missing side length.(x)

• x = 2

• x = 6

• x = 4 

• x = 8

• ST

• RS

• DF

• RT

What is the similarity statement for the triangle pair? (use the arc marks to help write corresponding parts in the same order)

• ΔXYZ~ΔNEW

• ΔXZY~ΔNWE

• ΔZYX~ΔENW

• ΔYZX~ΔNWE

Are the two figures similar? (check all ratios to see if they are equal)

• yes

• no

Two objects that are the same shape but not the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary