Introduction to Similarity

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

• x = 20

• x = 12

• x = 5

• x = 4

Choose the similarity statement for the triangles.

• ΔMNL ∼ ΔOPQ

• ΔNOM ∼ ΔPQL

• ΔLMN ∼ ΔPQO

• ΔMLN ∼ ΔPQO

If two figures are similar, the corresponding sides are ______________.

• equal

• congruent

• proportional

• none of these

All angles in similar figures are congruent.

• True

• False

What is the similarity statement for the triangle pair?

• ΔXYZ~ΔNEW

• ΔXZY~ΔNWE

• ΔZYX~ΔENW

• ΔYZX~ΔNWE

∠U = ≅

• ∠F

• ∠G

• ∠E

Are these triangles similar?
Known angles in Triangle 1:  40⁰,60⁰
Known angles in Triangle 2:  80⁰,40⁰

• Yes

• No

• There is not enough information to decide.

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

Solve for x

• 8

• 4

• 12

• 6

• 2

• 1/2

• 2/3

• 3/2