Corresponding Sides and Angles of Similar Triangles

Are Triangle ABC and Triangle XYZ similar?

• No, corresponding angles are not congruent

• No, corresponding sides are not proportional

• Yes, corresponding angles are congruent

• Yes, corresponding sides are proportional

Are these triangles similar?

• Yes

• No, they are congruent

• There is not enough information to determine this

• No, they are not similar nor congruent

Choose the similarity statement for the triangles.

• ΔMNL ∼ ΔOPQ

• ΔNOM ∼ ΔPQL

• ΔLMN ∼ ΔPQO

• ΔMLN ∼ ΔPQO

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

• 144 feet

• 72 feet

• 36 feet

What similarity theorem would prove that these triangles are similar?

• SAS∼

• SSS∼

• AA∼

• Side Splitter

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

• congruent, proportional 

• proportional, congruent 

• congruent, congruent

• proportional, proportional

Find missing side

• 5

• 7

• 9

• 11

Determine whether the triangles are similar.

• SSS~

• AA~

• SAS~

• not similar

A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long.  How tall is the building?

• 9 m

• 15.2 m

• 12 m

• 17.5 m

Which is NOT true about similar triangles.

• The angles in the triangles are congruent to each other.

• The sides are proportional to each other.

• The angles in each triangle add up to 180^o.

• The triangles must have at least one side that is the same length.