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Try to draw each triangle below. Decide if a unique triangle is determined. If the instructions do determine a unique triangle, state which triangle congruence postulate applies. If the instructions do not determine a unique triangle, explain why not. 3. AABC with mZA = 88°, AB 12 cm, and mZB 110°

Try to draw each triangle below. Decide if a unique triangle is determined. If the instructions do determine a unique triangle, state which triangle congruence postulate applies. If the instructions do not determine a unique triangle, explain why not. 3. AABC with mZA = 88°, AB 12 cm, and mZB 110°

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Tricky Triangles The triangle congruence postulates can be used to determine if two triangles are congruent. But they can also be used to determine if a set of measures determines only one triangle. For example, if you're given three sides of a triangle, does that determine only one possible triangle? It does, because any other triangle with the same three sides would be a congruent triangle. Mr. Arnold Buford makes up a set of problems specifying triangles for his students to draw. To give his students something to argue about, he includes some instructions that won't work. Try to draw each triangle below. Decide if a unique triangle is determined. If the instructions do determine a unique triangle, state which triangle congruence postulate applies. If the instructions do not determine a unique triangle, explain why not. 3. AABC with mZA = = 88°, AB 12 cm, and mZB 3110°
Transcribed Image Text:Tricky Triangles The triangle congruence postulates can be used to determine if two triangles are congruent. But they can also be used to determine if a set of measures determines only one triangle. For example, if you're given three sides of a triangle, does that determine only one possible triangle? It does, because any other triangle with the same three sides would be a congruent triangle. Mr. Arnold Buford makes up a set of problems specifying triangles for his students to draw. To give his students something to argue about, he includes some instructions that won't work. Try to draw each triangle below. Decide if a unique triangle is determined. If the instructions do determine a unique triangle, state which triangle congruence postulate applies. If the instructions do not determine a unique triangle, explain why not. 3. AABC with mZA = = 88°, AB 12 cm, and mZB 3110°
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