G.SRT.4 and G.SRT.5 - Prove Theorems Involving Similarity

Consider two right triangles.

In triangle ABC, segment DE is drawn parallel to side AC, creating a smaller triangle similar to triangle ABC.

Triangles ABC and DEF are similar.

Triangles ABC and DEF are shown below.

Use the diagram to determine which statements must be true. Select all that apply.

Triangle ABC is shown.

For triangle EFD, the following relationships are true:

Students at a school want to find the height of a tree without climbing it. They take measurements on two different days.

Triangle ABC is shown.

Nestor makes the following claim: