Difficult Similar Figures

The two triangular prisms shown above are similar.
What is the value of x, the height of the larger prism?

• 6.8 cm

• 4 cm

• 6 cm

• 7.2 cm

Lance the alien is 5 feet tall.  His shadow is 8 feet long.  At the same time of day, a tree's shadow is 32 feet long.  What is the height of the tree?

• 20 feet

• 24 feet

• 29 feet

• 51 feet

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

• 5 cm

• 7.5 cm

• 8 cm

• 9 cm

If triangles ADE and ABC shown in the figure above are similar, what is the value of x?

• 4

• 5

• 6

• 8

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

• 21 cm

• 63 cm

• 105 cm

• 126 cm

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.

Parallelogram PQRS is similar to parallelogram WXYZ.
What is the length of line segment YZ?

• 3 units

• 11.6 units

• 5 units

• 4.5 units

Triangle HIJ is similar to triangle STR.  What is the perimeter of triangle STR?

• 32

• 37

• 40

• 42

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

• x = 11

• x = 4.5

• x = 5

• x =4

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75

• 9.75

• 10

• 12