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Studysy
The Leader i...
The Leader il..
cos single s...
definition of...
Zearn
MATH 8: Per...
files-cdn.sc..
M2|L8
Similar Triangles
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Are the two triangles below similar?
What is the scale factor for each pair of sides?




Side in triangle 
ABC
Side in triangle 
DEF
Scale factor


Side 
AB is 4 units
Side 
DE is 8 units
2.4


Side 
BC is 5 units
Side 
EF is 10 units

◻


Side 
AC is 3 units
Side 
DF is 6 units

◻




Enter

Studysy\newlineThe Leader i...\newlineThe Leader il..\newlinecos single s...\newlinedefinition of...\newlineZearn\newlineMATH 88: Per...\newlinefiles-cdn.sc..\newlineM22|L88\newlineSimilar Triangles\newlineSign out\newlineAre the two triangles below similar?\newlineWhat is the scale factor for each pair of sides?\newline\begin{tabular}{|c|c|c|}\newline\hline Side in triangle ABC A B C & Side in triangle DEF D E F & Scale factor \\\newline\hline Side AB A B is 44 units & Side DE D E is 88 units & 22.44 \\\newline\hline Side BC B C is 55 units & Side EF E F is 1010 units & \square \\\newline\hline Side AC A C is 33 units & Side DF D F is 66 units & \square \\\newline\hline\newline\end{tabular}\newlineEnter

Full solution

Q. Studysy\newlineThe Leader i...\newlineThe Leader il..\newlinecos single s...\newlinedefinition of...\newlineZearn\newlineMATH 88: Per...\newlinefiles-cdn.sc..\newlineM22|L88\newlineSimilar Triangles\newlineSign out\newlineAre the two triangles below similar?\newlineWhat is the scale factor for each pair of sides?\newline\begin{tabular}{|c|c|c|}\newline\hline Side in triangle ABC A B C & Side in triangle DEF D E F & Scale factor \\\newline\hline Side AB A B is 44 units & Side DE D E is 88 units & 22.44 \\\newline\hline Side BC B C is 55 units & Side EF E F is 1010 units & \square \\\newline\hline Side AC A C is 33 units & Side DF D F is 66 units & \square \\\newline\hline\newline\end{tabular}\newlineEnter
  1. Identify Similarity: Identify if triangles ABCABC and DEFDEF are similar by checking if the sides are proportional. Calculate the scale factor for side ABAB to DEDE: Scale factor = DEAB=84=2\frac{DE}{AB} = \frac{8}{4} = 2.
  2. Calculate Scale Factor ABAB to DEDE: Calculate the scale factor for side BCBC to EFEF: Scale factor = EFBC=105=2\frac{EF}{BC} = \frac{10}{5} = 2.
  3. Calculate Scale Factor BC to EF: Calculate the scale factor for side AC to DF: Scale factor = DFAC=63=2\frac{DF}{AC} = \frac{6}{3} = 2.

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