Question

verify that \\( \triangle cba\sim\triangle rqp \\). determine the scale factor. \\( \triangle cba:cb = 49,ba = 84,\angle b = 72^{\circ} \\) \\( \triangle rqp:rq = 42,qp = 78,\angle q = 72^{\circ} \\) yes, with a scale factor of (7/6) yes, because the angles are equal no, the scale is not proportional no, because the angles are equal

Explanation:

Step1: Check the ratio of corresponding sides

For \(\triangle CBA\) and \(\triangle RQP\), we have \(\frac{CB}{RQ}=\frac{49}{42}=\frac{7}{6}\) and \(\frac{BA}{QP}=\frac{84}{78}=\frac{14}{13}\)

Step2: Determine similarity

Since \(\frac{CB}{RQ}
eq\frac{BA}{QP}\), the sides are not in proportion.

Answer:

C. No, the scale is not proportional