[img]data:image/png;base64,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[/img][br]Which additional given information is sufficient for showing that triangle [math]DBC[/math] is isosceles? Select [b]all[/b] that apply.
[size=150]He knows segments [math]AB[/math] and [math]DC[/math] are congruent. [br]He also knows angles [math]ABC[/math] and [math]ADC[/math] are congruent. Find the mistake in his proof.[/size][br][br]Segment [math]AC[/math] is congruent to itself, so triangle [math]ABC[/math] is congruent to triangle [math]ADC[/math] by Side-Angle-Side Triangle Congruence Theorem. Since the triangles are congruent, so are the corresponding parts, and so angle [math]DAC[/math] is congruent to [math]ACB[/math]. In quadrilateral [math]ABCD[/math], [math]AB[/math] is congruent to [math]CD[/math] and [math]AD[/math] is parallel to [math]CB[/math]. Since [math]AD[/math] is parallel to [math]CB[/math], alternate interior angles [math]DAC[/math] and [math]BCA[/math] are congruent. Since alternate interior angles are congruent, [math]AB[/math] must be parallel to [math]CD[/math]. Quadrilateral [math]ABCD[/math] must be a parallelogram since both pairs of opposite sides are parallel.
[size=150]Angle [math]BAC[/math] has a measure of 18 degrees and angle [math]BDC[/math] has a measure of 48 degrees. Find the measure of angle [math]ABD[/math].[/size]
So, Priya knows that there is a sequence of rigid motions that takes [math]ABC[/math] to [math]EDF[/math]. 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[/img][br]Select [b]all[/b] true statements after the transformations: