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ASA and AAS triangle congruence — Homework
For each pair of triangles, name the valid congruence shortcut (SSS, SAS, ASA, or AAS), or explain why the given information is not enough.
- 1.Triangle ABC and triangle DEF: angle A ~= angle D, AC ~= DF, angle C ~= angle F. Which postulate or theorem applies?
- 2.Triangle ABC and triangle DEF: angle A ~= angle D, angle B ~= angle E, BC ~= EF. Which postulate or theorem applies?
- 3.Triangle GHI and triangle JKL: GH ~= JK, GI ~= JL, and angle H ~= angle K (not included). Can these triangles be proven congruent? Why or why not?
- 4.Explain, using the Triangle Sum Theorem, why AAS guarantees the same congruence as ASA even though a different side is given.
- 5.Two isosceles right triangles both have a 90-degree angle and two 45-degree angles (AAA), and a student declares them congruent on that basis alone. Is this valid? What extra fact would actually make them congruent?
🌲 Homeschool of the FutureTenth Grade · Math · week 15 homework