Question

Select all the rules for the translation of △

RST.

Two triangles graphed on a coordinate plane. Triange R S T has vertices at R negative 4 comma 5, S negative 2 comma 5, and T negative 4 comma 1. Triangle R prime S prime T prime has vertices at R prime 3 comma 2, S prime 5 comma 2, and T prime 3 comma negative 2.

Answer 1

Answer:Triangle RST has the following vertices on the coordinate plane:

- R (-4, 5)

- S (-2, 5)

- T (-4, 1)

Triangle R'S'T' has the following vertices on the coordinate plane:

- R' (3, 2)

- S' (5, 2)

- T' (3, -2)

To understand these triangles, we can plot them on a coordinate plane and connect the vertices with lines. The points R, S, T represent the vertices of Triangle RST, and the points R', S', T' represent the vertices of Triangle R'S'T'.

By connecting the vertices, we can visualize the shape and orientation of the triangles. The lines connecting the vertices form the sides of the triangles.

Triangle RST:

- Side RS connects points R and S

- Side ST connects points S and T

- Side TR connects points T and R

Triangle R'S'T':

- Side R'S' connects points R' and S'

- Side S'T' connects points S' and T'

- Side T'R' connects points T' and R'

By comparing the lengths and slopes of the sides of the two triangles, we can analyze their similarities and differences. We can also calculate the areas of the triangles using formulas such as the Shoelace formula or the formula for the area of a triangle given its vertices.

Visualizing the triangles on a coordinate plane helps us analyze their properties and understand their geometric relationships.