Triangle $$DAC$$ is isosceles with congruent sides $$AD$$ and $$AC$$ . Which additional given information is sufficient for showing that triangle $$DBC$$ is isosceles? Select all that apply.

Line $$AB$$ is an angle bisector of $$DAC$$ .

Angle $$BDC$$ is congruent to angle $$BCD$$ .

Triangle $$DAB$$ is congruent to triangle $$CAB$$ .

Angle $$BAD$$ is congruent to angle $$ABC$$ .

Angle $$ABD$$ is congruent to angle $$ABC$$ .

Triangle $$ABC$$ is congruent to triangle $$EDF$$ . So, Priya knows that there is a sequence of rigid motions that takes $$ABC$$ to $$EDF$$ . Select all true statements after the transformations:

Segment $$BC$$ coincides with segment $$DF$$ .

Angle $$A$$ coincides with angle $$E$$ .

Angle $$C$$ coincides with angle $$F$$ .

Segment $$AB$$ coincides with segment $$EF$$ .

Segment $$AC$$ coincides with segment $$ED$$ .

Geometry | Unit 2 | Lesson 6: Side-Angle-Side Triangle Congruence | Practice Problems

Authored by Illustrative Mathematics

Mathematics

6th Grade

Geometry | Unit 2 | Lesson 6: Side-Angle-Side Triangle Congruence | Practice Problems

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