Question

Jessie draws triangle ABC on a coordinate grid. The slope of line segment AB is 3/4.

Jessie then transforms triangle ABC using a single transformation to create triangle A’B’C’. She claims the slope of A’B’ will still be 3/4.

Answer 1

No matter how Jessie transforms triangle ABC, the slope of line segment A'B' will still be
`(3)/(4)`. The slope of a line is a measure of how steep it is, and it remains unchanged during transformations.

The slope of a line is a measure of how steep it is. It tells us how much the line goes up or down for every unit it goes to the right.

If the slope of line segment AB is
`(3)/(4)`, it means that for every 4 units it goes to the right, it goes up 3 units. This can be written as rise over run: rise = 3, run = 4.

Now, when Jessie transforms triangle ABC using a single transformation to create triangle A’B’C’, it means that she is moving the triangle in some way. This could involve rotating, reflecting, or translating the triangle.

However, no matter how Jessie transforms the triangle, the slope of line segment A'B' will still be
`(3)/(4)`. This is because the slope is a measure of the steepness of the line, and it remains the same regardless of the transformation.