Test Triangles

• The measures of all corresponding angles change by a scale factor of 2.
  

• The lengths of all corresponding sides change by a scale factor of 2.
  

Which can be the side lengths of a triangle? Identify one or more choices that best complete the statement.

• 3, 5, 7

• 1, 2, 1

• 1, 1, 1

• 4, 4, 7

• 4, 6, 10

Michele wanted to measure the height of her school's flagpole. She placed a mirror on the ground 48 feet from the flagpole, then walked backwards until she was able to see the top of the pole in the mirror. Her eyes were 5 feet above the ground and she was 12 feet from the mirror. Using similar triangles, find the height of the flagpole to the nearest tenth of a foot.

• 24 ft

• 25 ft

• 20 ft

• 12 ft

Are the polygons similar? If they are, write a similarity statement and give the scale factor.

Which pieces of information could you use to prove the triangles congruent? (Select multiple.)

• m∠T = m∠V

• m∠U = m∠W

• m∠TXU = m∠VXW

• TX = VX

• TU = VW

Are the triangles congruent?

• Yes, by AAS

• Yes, by AA

• Yes, by ASA

• Yes, by SAS

• Not enough information

• No, the two triangles are not congruent
  

• ASA; Corresponding Parts of Congruent Triangles are Congruent.
  

• SAS; Corresponding Parts of Congruent Triangles are Congruent.
  

• SAS; Reflexive Property
  

• SSS; Reflexive Property
  

• ASA; Corresponding Parts of Congruent Triangles are Congruent.
  

• SAS; Corresponding Parts of Congruent Triangles are Congruent.
  

• ASA; Substitution
  

• AAS; Corresponding Parts of Congruent Triangles are Congruent.