Question

8th grade pre algebra Part b. Determine a possible sequence of transformations to map ABC onto XYZ

Answer 1

Given that triangle XYZ is the image of triangle ABC after undergoing transformation, to list the corresponding sides and angles of both triangles, we have:

Corresponding sides:

AB = XY

AC = XZ

BC = YZ

Corresponding angles:

∠A = ∠X

∠B = ∠Y

∠C = ∠Z

Thus,

`(AB)/(XY)=(AC)/(XZ)=(BC)/(YZ)`

Part B)

To determine a possible sequence of transformation to map ABC to XYZ.

`\text{Scale factor = }(XY)/(AB)=\text{ }(2.9)/(5.8)\text{ = }(1)/(2)`

We can see there should be a dilation with a scale factor of 1/2 and a reflection over the y-axis.

From the triangles, to map ABC onto XYZ there should be a dilation of triangle ABC with a scale factor of 1/2 AND a reflection over the y-axis.