triangle A”B”C” is formed using the translation (x+1,y+1) and the dilation by a scale factor of 3 from the origin. Which equation explains the relationship between BC and B”C”

Answers

Answer:

the equation that explains the relationship between BC and B”C” is:

BC = 2 * B”C”

This equation states that the length of BC is equal to twice the length of B”C”.

Step-by-step explanation:

If triangle A”B”C” is formed using the translation (x+1,y+1) and the dilation by a scale factor of 3 from the origin, then the coordinates of the vertices of triangle A”B”C” can be expressed as follows:

A” (x+1, y+1)

B” (3x+3, 3y+3)

C” (3x+6, 3y+6)

To find the equation that explains the relationship between BC and B”C”, we can use the distance formula to find the length of both segments. The distance formula is:

distance = √((x2 – x1)^2 + (y2 – y1)^2)

Where (x1, y1) and (x2, y2) are the coordinates of the two points.

Using the distance formula, we can find the length of BC as follows:

Answer:BC = 2 * B”C”Step-by-step explanation: