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I NEED THIS FOR A TEST PLZ HELP!!!

Triangle ABC has been dilated from center D.
If the length of segment BC = x, which is the
length of segment
ST?
A. 2x
B. 3x
C. 4x
D. 5x

User Azikiwe
by
3.6k points

2 Answers

0 votes

Answer:

4x

Explanation:

User Aminfar
by
4.4k points
7 votes

Answer:

A. 2x is correct.

Explanation:

Finding the measure of the segment BC and ST by the Distance formula: B (5, 7), C (8, 8), S (1, 11), T (7, 13).

BC = √(8-5)² + (8 - 7)²

BC = √10

ST = √( 7 - 1)² + ( 13 - 11)²

ST = 2√10

Scale Factor = Image/ Pre-image = ST/BC = 2√10/√10 = 2

This means that the image, ST, is twice as large as the pre-image BC.

I NEED THIS FOR A TEST PLZ HELP!!! Triangle ABC has been dilated from center D. If-example-1
User Mike Rhodes
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4.3k points