Question

What similarity statement can you write relating the three triangles in the diagram? Select one: a. ∆WUT ∼ ∆VUW ∼ ∆WVT b. ∆TWV ∼ ∆VUW ∼ ∆UWT c. ∆UVW ∼ ∆WUT ∼ ∆WVT d. ∆UVW ∼ ∆UWT ∼ ∆WVT

Answer 1

Answer:

d. ∆UVW ∼ ∆UWT ∼ ∆WVT

Step-by-step explanation:

Two triangles are similar if the corresponding angle are congruent and if the ratio of the corresponding sides are proportional.  

The logic is in three scenarios. The Cases that lead to similarities in a triangle can be expressed as follows

i. If two sides of a triangle  are in the same ratio to the corresponding side of another triangle and the included angle are the same.

ii. If the three corresponding sides are in the same ratio then the triangles are  similar.

iii. Also if the angles are of a triangle is congruent to the corresponding angles of another triangles they are  similar.