Congruent Similar Proof

Which of the following is NOT a valid reason to prove congruent triangles?

• SSA

• ASA

• SAS

• SSS

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

• HL

• ASA

• AAS

• Not enough information

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)

You should use CPCTC ______

• before you prove triangles congruent

• to prove two triangles congruent

• after proving triangles congruent to get the corresponding parts congruent

• never use CPCTC it is not a thing

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.

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

In similar triangles, corresponding angles are ___________.

• similar

• congruent

• overlapping

• proportional

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 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