Project ID:
6000000079
Accepted:
Type:
Layout:
Question:
Each figure shows two similar triangles $ABC$ and $A'B'C'$. Determine the scale factor of the dilation with the center at $S$ by which $ABC$ triangle is transformed onto $A'B'C'$ triangle.
Questions Title:
Figures:
Answers Title:
The scale factors:
Question 1:
{\obrA}
Question 1 Image:
Answer 1:
$-\frac12$
Question 2:
{\obrB}
Question 2 Image:
Answer 2:
$-2$
Question 3:
{\obrC}
Question 3 Image:
Answer 3:
$2$
Question 4:
{\obrD}
Question 4 Image:
Answer 4:
$\frac12$
Answer 5:
<p>$4$</p>
Answer 6:
$-4$
Answer 7:
$-\frac14$
Answer 8:
$\frac14$
Tex:
% tiket 32919
\NastavOD{4}
\def\obrA{\obrMsr[x=0.7cm,y=0.7cm]{-1}2{-1}2
{
\footnotesize
\coordinate (A) at (0,0);
\coordinate (B) at (4,0);
\coordinate (C) at (3,4);
\coordinate (A1) at (7.5,1.5);
\coordinate (B1) at (5.5,1.5);
\coordinate (C1) at (6,-0.5);
\coordinate (S) at (5,1);
\draw[dashed] (A) -- (A1) node [above]{$A'$};
\draw[dashed] (B) -- (B1) node [above]{$B'$};
\draw[dashed] (C) -- (C1) node [below]{$C'$};
\draw[black,thick] (A) node [below]{$A$} -- (B) node [below]{$B$} -- (C) node [above]{$C$} -- cycle;
\draw[red,thick] (A1) -- (B1) -- (C1) -- cycle;
\begin{scope}[thick]
\obrKrizek[2pt]{S}{above,yshift=2pt}{S}
\end{scope}
}}
\def\obrB{\obrMsr[x=0.7cm,y=0.7cm]{-1}2{-1}2
{
\footnotesize
\coordinate (A) at (0,0);
\coordinate (B) at (4,0);
\coordinate (C) at (3,4);
\coordinate (A1) at ($(B)!0.5!(C)$);
\coordinate (B1) at ($(A)!0.5!(C)$);
\coordinate (C1) at ($(B)!0.5!(A)$);
\coordinate (S) at (2.33,1.33);
\draw[red,thick] (A) node [below]{\color{black}$A'$} -- (B) node [below]{\color{black}$B'$} -- (C) node [above]{\color{black}$C'$} -- cycle;
\draw[black,thick] (A1) node [above right]{\color{black}$A$} -- (B1) node [above left] {\color{black}$B$} -- (C1) node [below]{\color{black}$C$} -- cycle;
\begin{scope}[thick]
\obrKrizek[2pt]{S}{above}{S}
\end{scope}
}}
\def\obrC{\obrMsr[x=0.6cm,y=0.6cm]{-1}2{-1}2
{
\footnotesize
\coordinate (A) at (0,0);
\coordinate (B) at (5,1);
\coordinate (C) at (4,6);
\coordinate (A1) at (2.25,1.75);
\coordinate (B1) at (4.75,2.25);
\coordinate (C1) at (4.25,4.75);
\coordinate (S) at ($(C)!0.5!(B)$);
\draw[red,thick] (A) node [below]{\color{black}$A'$} -- (B) node [below right]{\color{black}$B'$} -- (C) node [above]{\color{black}$C'$} -- cycle;
\draw[black,thick] (A1) node [below left]{\color{black}$A$} -- (B1) node [right]{\color{black}$B$} -- (C1) node [right]{\color{black}$C$} -- cycle;
\begin{scope}[thick]
\obrKrizek[2pt]{S}{right}{S}
\end{scope}
}}
\def\obrD{\obrMsr[x=0.7cm,y=0.7cm]{-1}2{-1}2
{
\footnotesize
\coordinate (A) at (0,0);
\coordinate (B) at (4,0);
\coordinate (C) at (3,4);
\coordinate (A1) at ($(B)!0.5!(C)$);
\coordinate (B1) at ($(A)!0.5!(C)$);
\coordinate (C1) at ($(B)!0.5!(A)$);
\coordinate (S) at (2.33,1.33);
\draw[black,thick] (A) node [below]{$A$} -- (B) node [below right, xshift=-5pt]{$B=S=B'$} -- (C) node [above]{$C$} -- cycle;
\draw[red,thick] (A1) node [above right]{\color{black}$C'$} -- (C1) node [below]{\color{black}$A'$} -- (B) -- cycle;
}}