Using a pencil, paper, and protractor, or a drawing program, draw an isosceles triangle that has exactly one 50° angle. Use the
appropriate geometric markings to label the triangle, angle measures, and congruent sides. Include your drawing in your answer. If another person were given these same instructions, would their drawing look the same or different? Explain your reasoning using complete sentences.
2 answers:
Sorry my lighting is really bad.
Note: my drawing is NOT to scale (because I don't have a protractor)
Ok so an isosceles triangle has 2 congruent sides and 1 other side. That means that the (one) 50° angle is the vertice (edge) of the 2 congruent sides. The vertice of the other sides are 65° because the angles of a triangle add up to 180°.
180°-50°=130°
The other angles are the same so 130° ÷ 2 = 65°
Since the two longer sides are congruent, mark them with one line each.
The other side is different so mark that with two lines.
If another person were given these same instructions, their drawing would look the same.
If you had a protractor, there would be a slight difference but it would still look the same (because a protractor is a tool that is very exact and it is quite accurate).
Also, if you didn't have a protractor, it wouldn't be the same.]
But even if someone else's drawing look different than yours (and mine), but the point would be the same because they know the congruent sides by the markings and they know the angles.
So if another person saw these same instructions and drew the triangle, it would look the same, but it wouldn't be exactly similar.
♡ Hope this helps! ♡
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