Similar Triangles, Ratio, Proportion

Choose the similarity statement for the triangles.

• ΔMNL ∼ ΔOPQ

• ΔNOM ∼ ΔPQL

• ΔLMN ∼ ΔPQO

• ΔMLN ∼ ΔPQO

What is the ratio of the side lengths?

• 1.25

• 1.5

• 2

• 2.5

Which condition to prove these triangles to be similar?

• AA

• Ratio of two sides and an included angle equal

• Three sides proportional

• Not Similar

Find side length X.

• 30

• 25

• 15

• 40

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

Find side length X.

• 16

• 18

• 2.4

• 15

Find missing side

• 5

• 7

• 9

• 11

What does it mean for two shapes to be similar?

• Same shape, but different size.

• Same size and same shape.

• Their angles add up to 180^o.

• They are congruent.

Are the triangles similar? Explain.

• No, because only one angle of the triangles is congruent.

• Yes, because two of the angles are congruent.

• No, because only one triangle has a right angle.

• Not enough information to determine.

Solve the proportion.

• k=5

• k=3.3333333

• k=60

• k=90