Ratios and Similar Figures

When you multiply by a scale factor less than 1, it will result in ...

• a reduction.

• the same size.

• an enlargement.

• a different shape.

When you multiply by a scale factor over 1, it will result in ...

• a reduction.

• the same size.

• an enlargement.

• a different shape.

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.

Triangle ABC is similar to triangle FGH.
What is the value of x in centimeters?

• 22.5 cm

• 8 cm

• 10.8 cm

• 30 cm

What is the length in inches of line segment PQ?

• 40 in.

• 34 in.

• 38 in.

• 14 in.

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.

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

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

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