Similar Figures Overlapping Shapes

Mrs. Ashley used similar triangles to make a design.  Which statement about the triangles in the design must be true?

• They are the same size and shape.

• They are the same size but different shapes.

• They have corresponding angles that are congruent.

• They have corresponding sides that are congruent.

Pentagon JKLMN is similar to pentagon VWXYZ.
What is the measurement of angle X?

• 30 degrees

• 60 degrees

• 150 degrees

• 120 degrees

Triangle PQR is similar to triangle XYZ.
What is the length of line segment XZ?

• 11 in.

• 13.5 in.

• 9 in.

• 20.25 in.

Triangle ABC is similar to triangle XYZ.  What is the length of line segment BC?

• 5 cm

• 7.5 cm

• 8 cm

• 9 cm

Triangle PQR is similar to triangle XYZ.  What is the PERIMETER of triangle XYZ?

• 21 cm

• 63 cm

• 105 cm

• 126 cm

Sides in similar figures must be proportional.  

• True

• False 

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

• x = 1

• x = 3

• x = 9

• x = 5

Find missing side

• 5 m

• 7 m

• 9 m

• 11 m

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

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