Better Buy, Similar Figures and Pythagorean Theorem

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

• 22.5 cm
• 8 cm
• 10.8 cm
• 30 cm

The two parallelograms above are similar.
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

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

• 4
• 5
• 6
• 8