Question

Here are some line segments. Point A, segment B C and 3 other segments, E D, G J and F H. 1. Which segment is a dilation of BC¯¯¯¯¯¯¯¯ using A as the center of dilation and a scale factor of 23 ?

Answer 1

A segment that is a dilation of BC using A as the center of dilation and a scale factor of 2/3 is FH.

In Euclidean Geometry, dilation is a type of transformation which typically changes the size of a geometric shape, but not its shape.

Generally speaking, the following rules are applied to interpret and understand the dilation of a geometric shape:

• A geometric shape is enlarged when the scale factor is greater than 1.
• A geometric shape remains the same when the scale factor is equal to 1.
• A geometric shape is reduced when the scale factor is less than 1.

In this context, we can logically deduce that the size of line segment BC would be reduced because the scale factor is less than 1;

AH = 2/3 × AC

A F = 2/3 × AB

FH = 2/3 × BC

Complete Question:

Here are some line segments.

Which segment is a dilation of BC using A as the center of dilation and a scale factor of 2/3?