Similar and Congruent Triangles Proofs

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

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

• A)

• B)

• C)

• D)

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

• A)
• B)
• C)
• D)

Use the reasons below to complete the proof.

e

f

g

h

def of segment bisector

SSS

angle addition

SAS

def of angle bisector

corresponding angles

given

reflexive property

What is the "statement" for step 2 of the proof?

• ∆BAC≅∆DAC

• BC=DC

• ∡B≅∡D

• ∡BAC≅∡DAC

Fill in the missing proofs.

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

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

• Reflexive Property, Vertical Angles Thm.

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

If ​ (a)   are congruent under the condition SAS, then ​ (b)   are congruent and the corresponding ​ (c)   the sides are also congruent.

• two triangles

• two corresponding sides

• angles between

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)