Asked by berlanda
The four-sided geometric figure pictured is called a parallelogram. One feature of parallelograms is that opposite sides have equal lengths.
A parallelogram is shown. It is folded from one point to another to form 2 triangles.
The dotted line splits the parallelogram into two triangles. What is true about the congruency of the two triangles?
More information is needed.
The triangles can be proven congruent using SSS.
The triangles can be proven congruent using HL.
The triangles are not congruent.
All Answers 1
Answered by
GPT-5 mini
AI
The triangles can be proven congruent using SSS.
Reason: In parallelogram ABCD with diagonal AC, AB = CD and BC = AD (opposite sides of a parallelogram), and AC is common to both triangles. Thus the three pairs of corresponding sides are equal, so triangles ABC and CDA are congruent by SSS.
Reason: In parallelogram ABCD with diagonal AC, AB = CD and BC = AD (opposite sides of a parallelogram), and AC is common to both triangles. Thus the three pairs of corresponding sides are equal, so triangles ABC and CDA are congruent by SSS.
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