Question

Please help me solve number 14 and 15

Answer 1

Answer:

Step-by-step explanation:

Similarity property,

" If the two triangles are similar then their corresponding sides will be proportional."

14). If ΔPQR ~ ΔUVW,

     $\frac{PQ}{UV}=\frac{QR}{VW}=\frac{PR}{UW}$ [Statement}

     $\frac{15}{10}=\frac{9}{6}=\frac{6}{4}$

     $\frac{3}{2}=\frac{3}{2}=\frac{3}{2}$  [True}

Therefore, ΔPQR ~ ΔUVW [Theorem - SSS]

15). If ΔFHE ~ ΔDHG,

     $\frac{EH}{HG}=\frac{HF}{DH}$ [Statement]  

     $\frac{24}{6}=\frac{36}{9}$

     4 = 4

Therefore, ΔFHE ~ ΔDHG [Theorem - AA]