Similar Figures

Two objects that are the same shape but not the same size are [fill in the blank].

• Congruent

• Vertical

• Similar

• Complementary

Which of the following is/are criteria for two figures to be similar?

• Corresponding sides must be CONGRUENT.

• Corresponding sides must be PROPORTIONAL.

• Corresponding angles must be CONGRUENT.

• Corresponding angles must be PROPORTIONAL.

The [fill in the blank] tells us how many times larger or smaller a figure is from the original.

• Scale factor

• Angle

• Side lengths

• Units

Pentagon JKLMN is similar to pentagon VWXYZ.

Angle K measures 150 degrees.

Angle L measures 60 degrees.

What is the measurement of angle X?

• 30 degrees

• 60 degrees

• 150 degrees

• 120 degrees

• 360 degrees

Triangle ABC is similar to triangle FGH.

AB = 9cm, BC = 15cm, CA = 12cm.

FG = 13.5cm, HF = 18cm.

Determine the length of GH.

• 22.5 cm

• 8 cm

• 10.8 cm

• 30 cm

Parallelogram PQRS is similar to parallelogram WXYZ.

QR = 5 units, RS = 3 units.

XY = 7 units.

Determine the length of line segment YZ.

• 3 units

• 11.6 units

• 5 units

• 4.5 units

Triangle QRS is similar to triangle PRO.

RO = 12ft, OP = 16ft.

RS = 9ft.

Determine the length of SQ.

• 144 ft

• 18 ft

• 72 ft

• 12 ft

Triangle CGF is similar to triangle EDF.

CF = 3m, GF = 3m.

DF = 6m.

Determine the length of ED.

• 18 m

• 6 m

• 3 m

• 0.16 m

A wall stands 4 feet tall and casts a shadow on the ground that is 6 feet long.

A tree casts a shadow that is 24 feet long.

Determine the height of the tree.

• 0.0625 ft

• 36 ft

• 16 ft

• 1 ft

• 0.0278 ft

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

• x = 9
• x = 28
• x = 7
• x = 63