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Similarity criteria for triangles
Worksheet
Grade Level
Geometry
GEO.86 Similarity criteria for triangles
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In triangle ABC, angle A=2x+15 degrees and angle B=3x-5 degrees. In triangle DEF, angle D=55 degrees and angle F=70 degrees. If x=20, which criterion applies?
A
SAS similarity; this would require two corresponding side ratios with the included angle.
B
AA similarity; angle A becomes 55 degrees and angle C becomes 70 degrees, matching angles D and F.
C
No similarity criterion applies; this would mean the facts do not complete AA, SAS, or SSS.
D
SSS similarity; this would require all three corresponding side ratios.
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