Form 13: Given Three Angle Measures (Similar vs Unique Triangles)
Evaluate triangle conditions given three angle measures to distinguish between similar triangles and unique constructions. Learn why AAA determines shape but not fixed size.
Questions
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MultiChoice
What happens when you attempt to construct a triangle knowing only its three interior angle measures (e.g., 30°, 70°, 80°)?
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MultiChoice
Why do three angle measures NOT fix a unique triangle size?
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MultiChoice
Triangles constructed with the same three angle measures are called:
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MultiChoice
If Triangle 1 has angles 40°, 60°, 80° and Triangle 2 has angles 40°, 60°, 80°, which statement is ALWAYS true?
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MultiChoice
What additional piece of information is needed alongside three angle measures to fix a unique triangle?
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MultiChoice
Can two triangles have the exact same three angle measures but different side lengths?
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MultiChoice
What is the AAA (Angle-Angle-Angle) condition used to prove?
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MultiChoice
If you dilate (zoom in on) a triangle, what happens to its angle measures?
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MultiChoice
Two triangles both have angles measuring 50°, 50°, and 80°. One has a base of 4 cm and the other has a base of 8 cm. How are these triangles related?
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MultiChoice
Which phrase best describes AAA construction?
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MultiChoice
If a student draws a triangle with angles 20°, 70°, 90° on standard paper and a teacher draws the same angles on a giant whiteboard, the two triangles are:
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MultiChoice
Is AAA a valid congruence shortcut for constructing identical triangles?