Draw the base of a second triangle and then proceed to copy two angles from the first triangle.
Practice makes perfect
Let's start with the following triangle.
Next, we will draw a line that will serve as the base of our new triangle, we will make it longer than AB.
To copy the angles, ∠A and ∠B from △ ABC, we draw a set of identical arcs around A and D, and another set of identical arcs around B and E like below.
Let's measure the angle on the original and copy it so that ∠A ≅ ∠D. Knowing the direction of DF, we go ahead and draw what's going to be our second side. Make it a long line!
We will repeat the procedure for ∠B and ∠E and draw EF, until it hits DF.
Finally, we will erase the leftover part of DF. Since we know two angles in our image triangle, we also know the third angle by the Triangle Sum Theorem.
Hence, two triangles can have the same angle measures and be of different sizes.
