draw the image of △abc under a dilation whose center is p and scale factor is 3.
draw the image of △abc under a dilation whose center is p and scale factor is 3.
Answer
Explanation:
Step1: Connect points
Connect point (P) to each vertex (A), (B), and (C) of (\triangle ABC) with straight - line segments.
Step2: Extend segments
Extend the line segments (PA), (PB), and (PC) beyond the vertices (A), (B), and (C) respectively.
Step3: Measure and mark
On the extended line segment (PA), measure a distance from (P) such that the new distance from (P) to the new point (A') is (3) times the distance from (P) to (A). Similarly, on the extended line segment (PB), find point (B') such that (PB' = 3PB), and on the extended line segment (PC), find point (C') such that (PC'=3PC).
Step4: Form new triangle
Connect points (A'), (B'), and (C') to form the dilated triangle (\triangle A'B'C').
Since this is a drawing - based problem and cannot be fully represented in text, the steps above describe the process of drawing the dilated triangle. In a graphical environment, you would use a ruler or a geometric drawing tool to accurately measure and draw the dilated image.
Answer:
Follow the above - described steps to draw (\triangle A'B'C') which is the dilated image of (\triangle ABC) with center (P) and scale factor (3).