Similar and Congruent Triangles

Are the following similar? Why or why not?

• Yes. All pairs of corresponding angles are congruent.

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.

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

• x = 20

• x = 12

• x = 5

• x = 4

All corresponding angles in congruent figures are congruent.  

• True

• False

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

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

All corresponding angles in similar figures are congruent.  

• True

• False

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

• Congruent

• Vertical

• Similar

• Complementary 

Which angle corresponds with angle A? 

• D

• F

• C

• E

What side corresponds with AB? 

• BC

• FE

• DE

• FD