Similarity Theorems

Two objects that are the same shape but NOT the same size are ______________.

• Congruent ≅

• Similar ~

Are the triangles similar?

• Yes

• No

Are the triangles similar?

• Yes

• No

Find the scale factor (k) from △JKL to △PQR. (Hint - smaller triangle to bigger triangle.)

• 2/3 or .6

• 3/2 or 1.5

Choose the correct similarity statement for the triangles.

The triangles are similar by AA Similarity. Select the correct similarity statement.

• ΔYZX~ΔNWE

• ΔXZY~ΔNWE

The triangles are similar by AA Similarity. Select the correct similarity statement.

• Δ XYZ ~ Δ NEW

• Δ YZX ~ Δ NWE

• Δ ZYX ~ Δ ENW

Using a proportion, find the height of the tree.

• x = 36 ft.

• x = 16 ft.

Using a proportion, find the "h" height of the statue.

• 25 ft

• 36 ft

Using a proportion, find the "h" height building.

• 48 meters

• 108 meters