Overlapping Similar Triangles

State the postulate that proves these triangles are similar.

• SSS

• AA

• SAS

• Not similar

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

• AA

• SSS

• SAS

• no similar

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

• AA

• SSS

• SAS

• NOT SIMILAR

Solve for f.

• 6

• 4

• 3

• 8

Find x.

• 54/7

• 56/3

• 11

• 21/2

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

• SAS

• AA

• SSS

• not similar

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

When proving these triangles similar, what would you write in for the missing reason?

• Math

• Corresponding sides are proportional

• Corresponding sides are congruent

• SSS similarity postulate

What will the last "reason" of this proof be?

• Definition of Midpoint

• Definition of Angle Bisector

• CPCTC

• Reflexive

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