Apreimage includes a line segment with a length of x units and a slope of m units. the preimage is dilated by a scale factor of n. the length of the corresponding line segment in the image is (x, or nx) units. the slope of the corresponding line segment in the image is (m, or nm) .

Slope becomes m

length becomes nx

Step-by-step explanation:

Slope:

We know that

slope is the ratio of change in y-value and change in x-value

so, dilation do not change slope of any line

so, after dilation

m---->m

Length of line:

we know that

A dilation has the effect of stretching or shrinking the line segment by the factor of m units

we are given

length of line =x

so, it's length will become

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proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc