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Answer:
AC = { 4, 5, 6, 7 }
Step-by-step explanation:
If you see, the diagonal AC forms two triangles, Δ ABC, and Δ ADC. In Δ ABC, AC = 3 units and BC = 6 units, while AC is yet to be known. Respectively in Δ ADC, AD = 4 units and CD = 4 units, while AC is again yet to be known.
In both triangles the triangle inequality can help find the possible value( s ) of AD, as this inequality only restricts some of the possible values with which AC can take. At the same time AC is shared among the two triangles, so if we can apply the Triangle Inequality to both of these triangles, the value of AC can be " further restricted. "
And there we have two inequalities, 3 < AC < 9, and 0 < AC < 8. Combining both inequalities the only possible integer values for AC would be 4, 5, 6, and 7.
Scale Factor is defined as the ratio of the size of the new image to the size of the old image. The center of dilation is a fixed point in the plane.
If the scale factor is more than 1, then the image stretches. If the scale factor is between 0 and 1, then the image shrinks. If the scale factor is 1, then the original image and the image produced are congruent.
To dilate a figure by a scale factor, all the coordinates are multiplied by the scale factor.
The coordinates of point A are (8, 6). A dilation by a scale factor of 0.5 means that the figure will be reduced. The new coordinates will be:A
Therefore, the FIRST OPTION is correct.