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Question
- if two triangles have two corresponding angles that are equal, what can be concluded? a. the triangles are congruent. b. the triangles are similar. c. the triangles are proportional. d. the triangles are not related. 8. a triangular roof truss has side lengths of 9 feet, 12 feet and 15 feet. another roof truss is designed with side lengths of
Brief Explanations
If two triangles have two corresponding angles that are equal, by the Angle - Angle (AA) similarity criterion, the triangles are similar. Congruence requires more than just two equal angles (e.g., side - angle - side, angle - side - angle etc.). Proportionality is a characteristic of similar triangles, not a conclusion that can be made just from equal angles. And they are clearly related as similar figures.
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b. The triangles are similar.