Question

3 from unit 3, lesson 4
angle abc is taken by a dilation with center p and a scale factor of \\( \frac { 1 } { 5 } \\) to angle \\( a ^ { \prime } b ^ { \prime } c ^ { \prime } \\).
the measure of angle abc is \\( 21 ^ { \circ } \\). what is the measure of angle \\( a ^ { \prime } b ^ { \prime } c ^ { \prime } \\)?

4 from unit 3, lesson 4
here are lines \\( l \\) and \\( m \\).

draw 2 lines that could be the image of line \\( m \\) by a dilation. label the lines \\( n \\) and \\( p \\).

Explanation:

Step1: Recall the property of dilation on angles

Dilation is a transformation that changes the size of a figure but not the measure of angles.

Step2: Apply the property to the given angle

Since angle \(ABC\) is dilated to angle \(A'B'C'\), and the measure of angle \(ABC\) is \(21^{\circ}\), the measure of angle \(A'B'C'\) remains the same as the original angle.

Answer:

\(21^{\circ}\)