Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

△def~______ \\frac{12}{18}=\\frac{20}{30} choose your answer... the tri…

Question

△def~______
\frac{12}{18}=\frac{20}{30}
choose your answer... the triangles share ∠
type your answer... the scale factor from the large triangle to the small triangle is
type your answer... △def
choose your answer... to △
choose your answer... by
choose your answer... similarity

Explanation:

Step1: Identify similar triangles

Since \( \frac{12}{18}=\frac{20}{30}\) and they share \( \angle D\), by the Side - Angle - Side (SAS) similarity criterion.
\(\triangle DEF\sim\triangle DUV\)

Step2: Calculate scale factor

The scale factor from the large triangle (\(\triangle DEF\)) to the small triangle (\(\triangle DUV\)) is \(\frac{12}{20}=\frac{3}{5}\)

Answer:

\(\triangle DUV\), \(D\), \(\frac{3}{5}\), similar, SAS