Question

1. rotate triangle abc by 45 degrees counterclockwise about point d, avoiding andres mistake.

Explanation:

Step1: Connect point D to vertices A, B, C

Draw line - segments DA, DB, DC.

Step2: Construct 45 - degree angles counter - clockwise

Using a protractor or geometric construction methods, construct $\angle A'DA = 45^{\circ}$, $\angle B'DB=45^{\circ}$, $\angle C'DC = 45^{\circ}$ counter - clockwise about point D such that $DA'=DA$, $DB'=DB$, $DC'=DC$.

Step3: Connect the new vertices

Connect points $A'$, $B'$, $C'$ to form the rotated triangle $A'B'C'$.

Answer:

The new triangle $A'B'C'$ is the result of rotating triangle $ABC$ 45 degrees counter - clockwise about point D.