Question

trazar la imagen del triángulo△abcbajo una reflexión a través de la lineal.

Explanation:

Step1: Recall reflection rule

For a point $(x,y)$ reflected over a horizontal line $y = k$, if the point is at a distance $d$ from the line, the reflected - point is also at a distance $d$ from the line on the opposite side. For a vertical line $x = h$, the same principle applies for the $x$ - coordinates.

Step2: Reflect point A

Measure the perpendicular distance of point $A$ from line $\ell$. Then mark a point $A'$ on the opposite side of line $\ell$ at the same perpendicular distance.

Step3: Reflect point B

Measure the perpendicular distance of point $B$ from line $\ell$. Then mark a point $B'$ on the opposite side of line $\ell$ at the same perpendicular distance.

Step4: Reflect point C

Measure the perpendicular distance of point $C$ from line $\ell$. Then mark a point $C'$ on the opposite side of line $\ell$ at the same perpendicular distance.

Step5: Connect the reflected points

Connect points $A'$, $B'$, and $C'$ to form the reflected triangle $\triangle A'B'C'$.

Answer:

Draw the reflected points $A'$, $B'$, $C'$ of $A$, $B$, $C$ respectively over line $\ell$ and connect them to get the image of $\triangle ABC$.