The image below shows two dilated figures with lines AB and A’B’ drawn. If the larger figure was dilated using a scale factor of 3, what relationship do lines AB and A’B’ have?

Lines AB and A'B' are similar, line A'B' being three times the size of line AB. They would not be congruent since a dilation isn't a rigid transformation but they would be similar. Their lengths would also be expressed in the form of a ratio which would be 1:3 if you do AB to A'B' and 3:1 if you do A'B' to AB. Hope this helped! :)

Step-by-step explanation:

The relationship between two lines AB and A’B’ is A'B'=3AB.

It is given that in the given figure larger figure was dilated using a scale factor of 3. It means the smaller and larger figures are similar and there corresponding sides are in the ratio 1:3.

The line AB connecting the two points of the smaller figure and line A'B' connecting the two points of the larger figure.

Since A'B' is corresponding line segment of AB in larger figure, therefore the ratio of AB to A'B' is 1:3.

By cross multiplication we get

The length of segment A'B' is 3 times of AB.

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probability for j is 1/4

while

a is 1/6

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