Proofs and Triangle Similarity

What additional information is required to prove the two triangles are congruent by ASA?

• A)
• B)
• C)
• D)

What additional information is required to prove the two triangles are congruent by SSS?

• A)

• B)

• C)

• D)

Fill in the missing pieces of the proof.

• Transitive Property, SAS(Side-Angle-Side)

• Reflexive Property, SAS(Side-Angle-Side)

• Reflexive Property, Vertical Angles Thm.

• Transitive Property, SSS(Side-Side-Side)

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

Which is NOT a way to prove triangles similar?

• AA

• SSS

• ASA

• SAS

In similar triangles, corresponding angles are ___________.

• similar

• congruent

• overlapping

• proportional

In similar triangles, corresponding sides are ___________.

• similar

• congruent

• overlapping

• proportional

M is the mid point of AB. Name the postulate, if possible, that makes the triangles congruent.

• HL

• ASA

• AAS

• Not enough information

The Base Angles Theorem states:

• If two angles of a triangle are congruent, then the sides opposite of those angles are congruent.

• If two sides of a triangle are congruent, then the angles opposite of those sides are congruent.

• If two triangles are congruent, then their corresponding sides and angles are congruent.

• None of the above.