Similar Figures and Congruent Triangles

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 

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

• 8 ft

• 12 ft

• 13 ft

• 15 ft

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

• x = 2

• x = 6

• x = 4 

• x = 8

What side corresponds with AB? 

• BC

• FE

• DE

• FD

A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner? Write and solve a proportion.

• 72 in

• 60 in

• 62 in

• 80 in

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

• 24 feet

• 21 feet

• 27 feet

• 32 feet

• AB = YZ

• ∠C ≅ ∠Z

• ∠B ≅ ∠C

• AC = XY