Determine if the two triangles shown are similar. If so, write the similarity statement. options:

A) ΔWUV ∼ ΔFGH

B) ΔUVW ∼ ΔFGH

C) Impossible to determine.

D) The triangles are not similar.

Question

contestada

Respuesta :

ACCESS MORE ACCESS MORE ACCESS MORE ACCESS MORE

jimrgrant1 jimrgrant1 · Answer 1 · 2020-08-16T21:53:31+02:00

Answer:

B

Step-by-step explanation:

∠ U = ∠ F = 76° thus are congruent

Consider the ratios of corresponding sides

[tex]\frac{UW}{FH}[/tex] = [tex]\frac{9}{21}[/tex] = [tex]\frac{3}{7}[/tex]

[tex]\frac{UV}{FG}[/tex] = [tex]\frac{18}{42}[/tex] = [tex]\frac{3}{7}[/tex]

Thus Δ UVW ~ Δ FGH by the SAS postulate

Answer Link

varshamittal029 varshamittal029 · Answer 2 · 2022-06-15T11:47:59+02:00

Yes the given two triangles are similar.

The similarity statement is B) ΔUVW ∼ ΔFGH

The triangles that have similar shape but the sizes of the triangles may be different, are called similar triangles.

Here, in the given triangles,

∠U = ∠F = 76°

Therefore they are congruent.

The ratio of corresponding sides, [tex]\frac{UW}{FH} =\frac{9}{21} = \frac{3}{7}[/tex]

Again the ratio of corresponding sides, [tex]\frac{UV}{FG}=\frac{18}{42}=\frac{3}{7}[/tex]

Thus, ΔUVW ∼ ΔFGH by SAS rule of similarity.

Learn more about Similarity of triangle here :

https://brainly.com/question/14285697

#SPJ2