Assignment and Quiz and answers
correctly solved
What additional information could be used to prove that ΔXYZ ≅ ΔFEG using
ASA or AAS? Check all that apply. - correct answer ✔∠Z ≅ ∠G and XZ ≅
FG
∠Z ≅ ∠G and XY ≅ FE
Can you conclude that triangle GHF is congruent to triangle GJK? Explain. -
correct answer ✔not enough information given
If two triangles have three congruent, corresponding angles, what additional
information is needed to prove that the triangles are congruent? - correct
answer ✔To prove that two triangles with three congruent, corresponding
angles are congruent, you would need to have at least one set of
corresponding sides that are also congruent. You could then use ASA or AAS
congruence theorems or rigid transformations to prove congruence.
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. - correct answer
✔Marcus is correct.
Are the triangles congruent? If so, how do you know? - correct answer ✔yes,
because of ASA or AAS
Explain how the angle-angle-side congruence theorem is an extension of the
angle-side-angle congruence theorem. Be sure to discuss the information you