4.6 Triangle Congruency Proof
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mmm4444bot
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Please read the forum guidelines, and then show whatever work you can and explain why you're stuck. Thank you. :cool:
Please read the forum guidelines, and then show whatever work you can and explain why you're stuck. Thank you. :cool:
Dr.Peterson
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What triangle congruence theorems have you learned?
Which of them applies when you know angles 1 and 3, and side TV, in triangle QTV?
If you haven't learned one that does, can you show that angles QTV and SVT are congruent, and use a theorem you do know?
You showed the reasons already
The theorem is so called "angle-angle-side", which means if two corresponding angles are the same and the two sides are the same (tv=tv), then the two triangles are the same.
If you have not learned "angle-angle-side", then, you can use angle-side-angle, since two angles are the same, the 3rd angles should be the same (180-angle1-angle3=180-angle2-angle4)
The theorem is so called "angle-angle-side", which means if two corresponding angles are the same and the two sides are the same (tv=tv), then the two triangles are the same.
If you have not learned "angle-angle-side", then, you can use angle-side-angle, since two angles are the same, the 3rd angles should be the same (180-angle1-angle3=180-angle2-angle4)