What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply.∠Z ≅ ∠G and XZ ≅ FG∠Z ≅ ∠G and ∠Y ≅ ∠EXZ ≅ FG and ZY ≅ GEXY ≅ EF and ZY ≅ FG∠Z ≅ ∠G and XY ≅ FE
Can you conclude that triangle GHF is congruent to triangle GJK? Explain.
If two triangles have three congruent, corresponding angles, what additional information is needed to prove that the triangles are congruent?
To prove that the triangles are congruent, you would need to know that at least one pair of corresponding side lengths is also congruent. Having congruent corresponding angles only proves that the triangles are similar. Once a pair of congruent corresponding sides is identified, the triangles can be proven congruent using the ASA (Angle-Side-Angle) or AAS (Angle-Angle-Side) congruence theorems.
During geometry class, students are told that ΔTSR ≅ ΔUSV. Marcus states that ΔTSR is mapped to ΔUSV by performing a rotation about point S. Sam states that ΔTSR is mapped to ΔUSV by a reflection across the line that goes through point S. Determine if either student is correct.
Are the triangles congruent? If so, how do you know?
Question text not available
✔ LNMLON LMN NLM
Isabelle proves that the triangles are congruent by using the parallel lines to determine a second set of angles are congruent. What statement and reason could she have used?
Determine the rigid transformations that will map ΔABC to ΔXYZ.
What did you include in your response? Check all that apply.
LNM LON LMN ✔ MLN
substitution property ✔ reflexive propertyaddition property subtraction property
vertical angles ✔ ASAAAA the reflexive property
Did you find these answers helpful?