Question

1. if you dilate the quadrilateral about the origin, what could be the outcome? select all that apply.

a) the coordinates will be multiplied by the scale factor.
b) the angles will be multiplied by the scale factor.
c) the angles will be congruent to the original.
d) the copy will be bigger than the original.
e) the copy will be smaller than the original.
f) the copy rotates about the origin.
g) the measure of the angles will increase.

Explanation:

Step1: Recall dilation properties

Dilation is a transformation that changes the size of a figure. When dilating a figure about the origin, the coordinates of each point are multiplied by the scale - factor.

Step2: Analyze angle properties

Angles in a dilated figure are congruent to the angles in the original figure. The measure of angles does not change under dilation. So, the angles will be congruent to the original (c is correct), and angles are not multiplied by the scale - factor (b and g are incorrect).

Step3: Analyze size properties

If the scale - factor \(k> 1\), the copy will be bigger than the original (d is correct). If \(0 < k<1\), the copy will be smaller than the original (e is correct).

Step4: Analyze rotation properties

Dilation is not a rotation. Rotation is a different type of transformation. So, the copy does not rotate about the origin during dilation (f is incorrect).

Answer:

a. The coordinates will be multiplied by the scale factor.
c. The angles will be congruent to the original.
d. The copy will be bigger than the original.
e. The copy will be smaller than the original.