Similarity and Parts of Similar Triangles

In similar triangles, corresponding sides are ___________.

• similar

• congruent

• overlapping

• proportional

What reasons complete the proof?

• Given, AA Similarity Postulate

• Vertical Angle Theorem, AA Similarity Postulate

• Reflexive Property, SAS Similarity Postulate

• Definition of Angle Bisector, SSS Similarity Postulate

Which is NOT a way to prove triangles similar?

• AA

• SSS

• ASA

• SAS

In similar triangles, corresponding angles are ___________.

• similar

• congruent

• overlapping

• proportional

What additional information can we conclude from the given and why?

• ∠ADB and ∠ADC are right angles because AD goes straight down.

• ∠B≅∠C because the triangle is isosceles

• ∠BAD≅∠CAD because they look the same

• None of the above

The triangles are similar, solve for the question mark.

• 8

• 12.5

• 18

• 24

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

State the postulate that proves these triangles are similar.

• SSS~

• SAS~

• AA~

• Not similar, b/c ratios are not equal

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

• AA

• SAS

• SSS

• Not Similar